diff --git "a/data/dm_maths/full_data_1/11178_11255.jsonl" "b/data/dm_maths/full_data_1/11178_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11178_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 43460 divided by -106\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**4 + z**3 - 74*z**2 - 4*z + 56 = 0. Calculate z.\nAnswer: -2, -1, 14\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from gpgggghqwpjggwpghg?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - -135. Let c = -108 + r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -19) + -1 + 1 + 4 - 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 1413 = 1296 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 96 = -2*n + 2*p, n + 3*p - 14 = 0. Suppose 0 = -3*j + 69*j - 3300. What is the remainder when j is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 31*p**4\/4 - 1831*p**2. Let h(y) = 5*y. Determine g(h(l)).\nAnswer: 930*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2 + 5*u + u + 0*u. Let n = -25 - -21. Let o(z) = z + 1. What is n*o(m) + r(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i + 52. Let f be k(-10). Let z be (-2)\/(-1) + (0 + 2)\/f. Suppose -m = 2*s + z - 2, -s = 2*m + 2. Which is smaller: s or -2\/221?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 6 = 12*m. Let s(i) = -1 - 2*i**m + 1 - 8*i**3. Let v(t) = -t**3. Give 4*s(x) - 44*v(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*i + 24 = -3*k, 0 = 5*k + 2*i + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2039 + 551. Suppose -36*z + b = -26*z. What is the greatest common divisor of 74 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/((-1 - -3) + -4). Suppose -s = -k - 5. Solve -3*u + u + k = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -856*f**2 - 2*f + 9. Let w(r) = -1712*r**2 - 5*r + 20. What is 9*q(a) - 4*w(a)?\nAnswer: -856*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22526 + -4?\nAnswer: -22533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 17\/10, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*6\/(-54)*(-12)\/(-8240)*20.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5\/2 - 633*y**4 + 5109*y**3\/2 - 648*y**2 - 3834*y = 0.\nAnswer: -426, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37467 divided by -5\nAnswer: -37467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16268, 51, -2\/3 in decreasing order.\nAnswer: 16268, 51, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**2 + u**2 - 6*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 0, 0.595?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r. Let o(x) be the first derivative of -23\/2*x**2 - 36 + 0*x**3 + 0*x - 5\/24*x**4. Let v(y) be the second derivative of o(y). Give v(b(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/8 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73916823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 798719\/1430 + -5583\/10. What is the common denominator of (4 + 0)*(-610)\/80 and f?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -11. Put d, -1, 3 in ascending order.\nAnswer: d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d = g - 180, -4*g = d - 765. Suppose 0 = -56*n + g + 32. Factor -7\/6*w**2 + 0 + 7\/6*w**n + 1\/3*w**3 - 1\/3*w.\nAnswer: w*(w - 1)*(w + 1)*(7*w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4515 + -4486. Let s be 1*31 - 0\/2. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let z(y) = -14*y. Determine r(z(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -82 + 42 - z + 41. Let x be h(1). Solve x = -b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 4. Let k be m(3). Suppose -s + 25 = k*r - 6, 2*r - 13 = 5*s. Let d be 1\/r*(-4 + 2). Put 2\/3, d, -0.3 in descending order.\nAnswer: 2\/3, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000493595 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48544, 4, -2, 5 in ascending order.\nAnswer: -2, 4, 5, 48544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0. Let t = j + 0.4. Suppose -2*q = -4*y + 5 + 13, 0 = 4*y + 4*q + 12. Which is the closest to t? (a) 0.3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151439 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence litj when four letters picked without replacement from {h: 4, j: 4, t: 1, i: 2, l: 6}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 13*g**6\/10 - 157*g**5\/60 - 3*g**2 - 4*g. What is the third derivative of j(d) wrt d?\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*f**2 + 134*f**2 - 1224 + 4991)*(-1 - 1 + 0)*(-f + 3*f - f).\nAnswer: -2*f**3 - 7534*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 537319789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99 less than -173?\nAnswer: -172.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 4. Let v be h(-3). Put -9, v, 2 in increasing order.\nAnswer: -9, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122472 by 126.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -2)*5.\nAnswer: -10 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b = -3*k + 191, -3*k - 169 = -4*b. Let d be (-1510)\/(-25) - (-2)\/(-5). What is the highest common factor of d and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, v: 3}. Give prob of sequence dvd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 527512 and 8?\nAnswer: 527512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1013, 0.3, -0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 + 4. Let x be f(4). What is the second derivative of -3*q + 2*q**2 + 2*q - 7*q + x*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1}. Give prob of picking 1 n and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.55 + 0.58. Let n = o + 58.97. Let c = -61 + n. What is the third smallest value in c, 0, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/((-93)\/(-124))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399926, -399922, -399918, -399914, -399910?\nAnswer: -399906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 p, and 1 s when four letters picked without replacement from qffqrrsrrlqpqrr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*f + 3*f - 58, 0 = 4*c - 2*f - 92. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 9087*s**2 + 9084*s.\nAnswer: 3*s*(s - 3028)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z**2. Let l = 36 - 32. Let g be (8\/12)\/(l\/114). Let q(b) = -40*b**2 + g*b**2 + 23*b**2. What is o(q(a))?\nAnswer: -80*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose 0 = 4*p - 4*d + 16, -3*d = -4*p + 3*p - 4. Let i be 2\/p + 0\/(-1). Sort 4, t, i in decreasing order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3920 and -41\/980.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, 0, -1 in increasing order.\nAnswer: -1, 0, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 - 20*c - 16. What is the units digit of k(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/(6\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -125, -185, -243?\n\"Answer: y**2 - 65*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1086 - 174 = -28*q. Suppose -5*x + q = 3*u, -3*x = -3 - 6. Put -3, -1\/9, 4, u in increasing order.\nAnswer: -3, -1\/9, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4337.0979 - 4106.23?\nAnswer: -8443.3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4629 + 33059. List the prime factors of b.\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87a90 (base 13) to base 16.\nAnswer: -3bfaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3\/(-12)*46. Let r = 40 + y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qntq when four letters picked without replacement from neqpqqqsnnnt.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14220 and 703416?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/78 and 4 - 1937\/(-78) - (1 - -4).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234657 is divided by 12950.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 7*x - 4. Let f be y(8). Suppose 0*n = -f*n. What is the remainder when 37 is divided by 13 + (-1)\/(-3)*n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006060719 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 98?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:09 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {d: 5, t: 1, j: 2, y: 1, x: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -30. Let f = z + 25. Suppose -2*t + f*d + 7 = 4*d, -t + 3*d - 4 = 0. Solve 0 = -y - y + 8, -y - 11 = -t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 0.094?\nAnswer: -0.02726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1476)\/4290 + (-100)\/(-2750)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 123. Sort q, 0, 3, -2 in decreasing order.\nAnswer: q, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4458 (c) 5 (d) -0.32 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/128 + 510\/16. Solve -5*j - 3*j = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -42*q + 135. Let b be d(16). Let z = 751 + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2341807422 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(4\/(-628)*-2) is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + b**3\/6 - b**2 - b. Suppose -2*f + 23 = 5*y - 0*y, -5*f = 2*y - 26. Give o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2307*r - 2289*r - 180 = 0. Suppose 4*x = 2*x + 20. Solve -8*b = -r*b - x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -233, -1\/104, 0.7?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81802 at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from quqqururqrr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 635.72 + -636. Is 0.5 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69021948*z**4 - 102821043*z wrt z?\nAnswer: -828263376*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -29*k + 136. Let o be b(6). Is o greater than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103356 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*a + 20 = 0, 15 = -6*a + 3*a. Suppose 3*m + s = -0, 2*m - 339 = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32239?\nAnswer: 103, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)*(2 - 3). Suppose 0 = 6*s - s + p*i + 5, -3*i = -s + 17. Let r(b) = 2*b + b**2 + 4*b - 1 - 8*b + 3*b. Give r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -699.99978 - -700. What is f rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a + 0 + 2\/9*a**4 + 0*a**2 - 2\/3*a**3 = 0. What is a?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1061 + 2127\/2. Let o(m) = m + 3. Suppose 0 = 5*l + 21 + 9. Let g be o(l). What is the smallest value in 4, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 103 - 10*t - 103 to the form w*t + j and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/4161 and -107\/80?\nAnswer: 332880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(((-6)\/(-9))\/(1\/(-2)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:38 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let r(o) = -3665*o + 5. What is y(r(t))?\nAnswer: -13432225*t**2 + 36650*t - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:43 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371 - -529. Let m = 160 - n. Solve m*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 264*a**2 - 11616*a - 170368.\nAnswer: -2*(a + 44)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.2. Let i = y + 0.2. Let q = 2.34 - 0.34. Which is the biggest value? (a) q (b) i (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.8601 years in millennia?\nAnswer: 0.5038601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445 divided by 7.\nAnswer: 445\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 32*b + 949. Let w be j(51). Let z(m) = -m**2 - 26*m - 83. What is z(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58186287011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 726640822*g*v**3 - 1840*g*v + 1399*g + 3*v**2 - 4*v wrt v?\nAnswer: 4359844932*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19579, -36008, -52437, -68866?\n\"Answer: -16429*s - 3150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33526*d**2*q**4 + 191972*d**2 wrt q.\nAnswer: 134104*d**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8+351.6\nAnswer: 343.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 15 = 14*j. Let p = 1614\/7 + -230. Which is the closest to 2? (a) j (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69258.8512 - 18?\nAnswer: 69240.8512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 i when four letters picked without replacement from {d: 1, f: 1, p: 1, k: 3, i: 6}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 9) + -1 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 39486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -3. Let n = m + 18. What is the greatest common factor of 117 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.9. Let q be 4 + ((-4)\/(-10) - 22\/5). Which is the nearest to q? (a) w (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 24*i - 15. Let l(z) = 35*z - 22. Give -5*l(x) + 7*n(x).\nAnswer: -7*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 3\/8, 34\/313, 0, 1 in decreasing order.\nAnswer: 2.4, 1, 3\/8, 34\/313, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -17.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, 1, 97, 0 in descending order.\nAnswer: 97, 1, 0, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291309 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 165682665 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3257925411.94 - -0.3.\nAnswer: 3257925412.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.61 (b) 2\/79 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 18*l - 306 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94\/5 + -19. Let r = -446.8 + 447.3. Sort u, r, -4, -2\/3 in ascending order.\nAnswer: -4, -2\/3, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0556735 centuries?\nAnswer: 5.56735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**3 + 53*o**2 - 20*o - 50. Let m be k(7). Which is the second biggest value? (a) m (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.2 + 30. What is the fourth biggest value in 2\/5, u, 2, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {x: 4, d: 1, f: 2, q: 2, v: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2216578 or 2216576?\nAnswer: 2216578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 109. Solve 5*f + 25 = -5*v, -4*v - 1 = 2*f + a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*c - 155 - 47, 2*c = -d - 94. Let y = -98 - d. Let h be (-54)\/135 - (29\/(-35) - y). Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 - 3*t + 5. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 11*o**6\/30 - 5*o**3\/6 - 9*o. What is the second derivative of n(h) wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*y + 0*y + 99 = 0, -i - 2*y - 33 = 0. Let n(w) = w**2 - 6*w - 9. Let q(h) = 6*h**2 - 30*h - 45. Let s(p) = i*n(p) + 6*q(p). Factor s(u).\nAnswer: 3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/12717 - -216185\/25434. Let c(f) be the second derivative of x*f**2 - 7\/6*f**3 + 16*f - 1 - 1\/4*f**4. Differentiate c(s) wrt s.\nAnswer: -6*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - h = -2*h, 0*h + 9 = f - 2*h - 0*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 3, w: 1}. What is prob of sequence yuu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 9*q. Let p be k(5). Suppose -2*z - 1690 = -2*c, 670 + 2665 = -4*z - p*c. Let h = -230 - z. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660423?\nAnswer: 3, 220141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3)*u*u**(4\/9)*u*u**(-1)*u\/(u\/(u*u**(-2\/9)\/u*u)*u*u))**(-1\/11) assuming u is positive.\nAnswer: u**(-38\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + 0. Let i = -10 + v. Suppose i*b - 210 = 10*b. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*i = -26, 0 = 3*d - 4*i - 17 + 39. Let p(u) = -4*u**2 - 3 + 3*u - 5*u + 3*u**2. Determine p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 910 = -8*y, 0 = -2*y + 5*m + 191 + 32. Calculate the highest common factor of y and 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.44 - -1.56. Put -0.2, b, -4 in descending order.\nAnswer: b, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102365466*a**3 - 21939381*a + 4 wrt a?\nAnswer: 614192796*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*g**5 + 3*g**2 + 44*g.\nAnswer: -680*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 25*i**4\/4 - i**3\/2 - 854*i**2 - 1709*i. What is the derivative of t(g) wrt g?\nAnswer: 150*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 106 - 96 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/27720 and 161\/2160.\nAnswer: 166320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from txtxtwntzztntzznntt?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*i - 136 = l, -3*l - 116 = 5*i. Let v = l - -30. Let d(k) = -10*k - 2. Does 18 divide d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 479.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 - 6*s**2 + 3. Let w be (-3)\/(-9) + (-16)\/(-6). Let u(p) = -3*p**3 - 5*p**2 + 2. What is w*u(b) - 2*o(b)?\nAnswer: -b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165.748 or -7?\nAnswer: 165.748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -204\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277246474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2187 - -3837. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -840.\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47950 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 412 divided by 4\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.11, -0.0199, 2\/3, -4.\nAnswer: -4, -0.0199, 0.11, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8.98418 or -20?\nAnswer: -8.98418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 1, r: 2, s: 1, a: 1, x: 1}. Give prob of picking 1 d, 1 f, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/7 + -74\/105. Find the common denominator of t and -25\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1920*s**2 + 1444*s**2 + 2560*s**2)*(-4*s**3 + 0*s**3 + 3*s**3).\nAnswer: -5924*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {v: 3, u: 1, q: 1, r: 1, l: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 12*f**2 - 23*f - 25. List the prime factors of h(-12).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 4299*u**2 + 56044*u + 51744 = 0.\nAnswer: -12, -1, 4312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 2. Suppose 3*i = -3*z + 1669443, -z + 5*i + 1669443 = x*z. Let r = 1656481 - z. Round r to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5023 + -0.0023. What is the nearest to 4 in 1\/4, 0.1, 5\/4, q?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/396445 and -4\/56635.\nAnswer: 396445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 56698236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.99 + 0.99. Let d = 2.16 + -0.26. Let o = -0.1 - d. What is the nearest to 0 in b, o, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -60*z + 26*z + 66. Let q be 2\/(1\/(5\/2)). Solve 0 = 4*x - 2*k - 8, -z*x = -k - q - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose 0 = 2*w - 3 + 5, 0 = h*b + 5*w - 10. Suppose -28 = -b*i + 23. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1694903164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2 - 44*f**3 - 5*f + 4*f**2 + 42*f**3 - 5*f. Let x(d) = 5*d**3 - 8*d**2 + 21*d - 5. Let a(i) = -13*m(i) - 6*x(i). Factor a(t).\nAnswer: -4*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 59 = 281 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73146 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 152*o**2 - 5*o - 2*o**4 - 3*o + 5 + 7*o to the form y + u*o + k*o**2 + f*o**4 + s*o**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27799 + 27884. Which is the smallest value? (a) 3 (b) 2.4 (c) x (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyfwwynnwwnnw. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 4*740\/(-176)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -1\/12*h**4 + h**3 - 3\/2*h**2 + 17*h - 5. Let x(v) be the first derivative of u(v). Give x(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 5) + 3\/2. Let t = -3 - 1. Which is the third biggest value? (a) t (b) j (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21*(-1*1)\/(168\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02137 + 0.32137. What is the third biggest value in 0.1, 3, -5, 29, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7028695, 2, -2.\nAnswer: -2, 2, 4, 7028695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2531 - 1636. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-82)\/(-3) + 13\/(624\/32). Suppose b*p - 20138 = 24214. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-105)*(-10)\/12. Which is the third smallest value? (a) 0 (b) j (c) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16308 + 22855. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11749599 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 68512\/5, 3\/7, 12, 17?\nAnswer: 68512\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -9410337\nAnswer: 244668762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -3*i, -3*r + 6 = -4*i - 0. Let u be -1 + i + (-3)\/(-3). Suppose -z + u + 1 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7))**(19\/3)\/(a**(-34)\/a**(2\/11)))**(-7\/3) assuming a is positive.\nAnswer: a**(-7060\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*k - 2 + 394*k - 1 + 578*k + 3.\nAnswer: 1615*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 8*m**2 - 23*m - 6. Determine a(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 42156. Let q = p + 6778. Round q to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101010692 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -3*h, -4*g = -h - 9*g + 5. Suppose h*f = -4*f + 36. Let y = 4019 - 3997. What is the remainder when y is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/19, 0.2, 0.3, -34?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 26*s + 193. What is the remainder when y(-27) is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1487.51 - 1474. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-63)\/(-12)*12. Suppose -49*r + a*r = 7630. List the prime factors of r.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*a + 112, 10*j = 12*j + 3*a - 62. What is the remainder when 1747 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 99*r - 602. Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 7*v - 78. What is c(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)**(-3\/8)\/(x**(-3)\/x*x*x*(x\/(x\/(x*x\/(x**1*x)))*x)\/x) assuming x is positive.\nAnswer: x**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1356 * -0.2\nAnswer: -0.02712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 79. What is the tens digit of p - (-12)\/(-4) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -712570*p**3 - 23126*p**2 - 16*p wrt p?\nAnswer: -4275420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-6 - 1899\/(-315)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1161.7459 - 0.2541. Let i = -1161 - z. Let v be (-58)\/138 - (-1)\/3. What is the smallest value in 0.3, i, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048868884 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 3. Let u(h) = 10*h**2 - 3*h + 795. Give u(s(v)).\nAnswer: 160*v**2 + 228*v + 876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.4699 nanograms in kilograms?\nAnswer: 0.0000000000824699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mulglmlggkgml. Give prob of sequence mk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 2, d: 4, p: 2}. What is prob of picking 1 z, 1 o, and 2 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 10805808*a + 7297842908304.\nAnswer: 4*(a - 1350726)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29e - -b?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 11:00 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p + 2. Let m be a(-4). Let u(q) = m*q - 3 + 3. What is the remainder when 17 is divided by u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9014 + 2*z + 0*z + 661 - z**2.\nAnswer: -z**2 + 2*z + 9675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -1)*(-10)\/4. Put -43, c, -4 in decreasing order.\nAnswer: -4, c, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657*c + 1651*c + 306*c.\nAnswer: 2614*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*x - 168*x = -336*x + 12 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43097 divided by -700.\nAnswer: -43097\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/3)\/(y*y*y*y**8*y))**23)**50 assuming y is positive.\nAnswer: y**(-35650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 2 w when four letters picked without replacement from {h: 7, i: 1, f: 2, w: 9}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let z be (-4*24\/448)\/(136\/119). Which is the fourth biggest value? (a) z (b) 5 (c) t (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -3\/2 (c) 0.2 (d) 600 (e) -1.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1520142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -2 - 1\/2*j**2 + 8*j. Let w = -3 + 7. Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 26*o**2 - 26*o - 20. Let d be h(-25). Suppose -q = -d*w - 5, -w - 2*q + 7*q = 25. Is w at least -8\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(200) + sqrt(200) + 0 + sqrt(200))**2 + 2 - (2 + sqrt(200)*1)**2) + ((1*sqrt(200) + sqrt(200) + 4)*-2)**2).\nAnswer: 600*sqrt(2) + 4862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114*v - 17522 = 2885 + 7443 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, p: 3, g: 6, w: 1}. What is prob of sequence gpw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -31*m**2 + 88*m + 93. Let o(n) = -7*n**2 + 22*n + 23. Let l(s) = -26*o(s) + 6*t(s). Let l(y) = 0. Calculate y.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90988.13ug?\nAnswer: 90988130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - 39\/(-12). Suppose 0 = l*g - g + 6. Let b be 6 + (-3 - g) + -2. Solve -4*c + b*s = 10 - 2, 0 = -5*c - 2*s - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 26 = -5*n - 2*c, 4*c = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98311387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*117\/(-30)*-2. Is (-1138)\/1*v\/26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 977*k**2 + 15*k**4 + 373*k**5 - 3*k**4 - 4*k**4 - 6*k**4 - k**4 wrt k?\nAnswer: 22380*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/30 - y**4\/6 + y**3\/3 + 3*y**2\/2 + 2*y. Let a(q) be the first derivative of w(q). Determine p, given that a(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 225 - 195)*(3 - u - 3)*(3 - 6 + 8) to the form y + p*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 229 + 804*g**2 + 191 - 572 - 920 - 220*g**3 - 54*g**3 + 8*g.\nAnswer: 2*(g - 134)*(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2715 times 1?\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n + 29. Solve -b + 5*q + n = 0, 5*b - b - 2*q + 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212343175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*y*z - 8465*j*y + 3561*j*z - 177*y - 412*z wrt y?\nAnswer: 2*j*z - 8465*j - 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/10, -301 in increasing order.\nAnswer: -301, 3\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -9*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 + 163. Suppose -n*m - m - t = -1220, 0 = 3*t. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-28)*-1 - 256\/(-56). Suppose -3*t = -3*f - 3, 2*f - 2*t + 2 = 6*f. Solve f*z - i = 2*z - 9, 27 = z + v*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 + 3729495*c + 3729490 = 0. Calculate c.\nAnswer: -745898, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44066 and 2.1.\nAnswer: -92538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -2. Let m be (8 - -4)\/s + 0. Suppose -m*x = -2*x - 10. Solve -y = -x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 330233?\nAnswer: -331000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 1. Let o(i) = -3*i + 8. Calculate o(j) + 2*z(j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3694 + 8408. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3036*w**2 + 8*w + 6 wrt w.\nAnswer: 6072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:01 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4192.5036 - 4198. Let d = h - -5.5. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1216) + 0 + 5)*-1*-1.\nAnswer: -16*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z = 111*z - 132 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167\/3769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374400416 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/((-45)\/12 + 3). Calculate the greatest common divisor of v and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -46) + 1*-17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*u**3 + 853*u**3 - 193*u**3)*(-3 + 2 + 2*u + 3).\nAnswer: 1666*u**4 + 1666*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2665*v - 2666*v = -8. Let s = -1 - -37. What is the remainder when s is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*g - 95*g + 50*g + 4)*(3 - 5 + 0) to the form x + n*g and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*h + 337*j - 341*j + 6 = 0, -j - 8 = 5*h - 0*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 0*b - 10*b + 57 - 62. Let u be 2\/(-32) - 4956\/(-448). Give s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 23 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*u - 7 + 403. Solve -5 = -u*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -31178\nAnswer: -79\/31178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**2*v**2 + 2*d**2*v*x - 77*d**2*v + d**2*x + 4*d*v**2*x - 2*d*v**2 wrt v?\nAnswer: 26*d**2 + 8*d*x - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24930 is divided by 212.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109288*m**4 + 32242*m.\nAnswer: 1311456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108802025?\nAnswer: 5, 4352081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17.5. Let s = -0.3 - 0.2. Let j = v - s. Which is the second biggest value? (a) j (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56461 (base 7) to base 10.\nAnswer: -14302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-11)*c)\/c**(-13))**(-12) assuming c is positive.\nAnswer: c**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*j = -28, -32 = 2*q + 3*q + 3*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 3, x: 6, f: 8, s: 1}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 - -21 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*l + l. Suppose -4*i + l = -1. Let j = 488 + -487.5. Which is the smallest value? (a) j (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -92 and -18623.4688?\nAnswer: 18531.4688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/240 + 19*h**5\/120 - 35*h**4\/48 + 17*h**3\/12 + 157*h**2 + 2. Solve x(p) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -286756 and -0.3.\nAnswer: 86026.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + -0.5. Let c = 35 + -42.1. Let y = b + c. What is y rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -149, -367, -759, -1391, -2329, -3639?\n\"Answer: -11*u**3 + 12*u**2 - 69*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/5 and 81\/2252.\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582731179 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(sqrt(156)\/(sqrt(24)\/sqrt(2)*-1) + 5)**2.\nAnswer: -152 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -7. Which is the second biggest value? (a) -3\/8 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80196625?\nAnswer: 5, 19, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63\/122 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 139889701.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*f - 86903, 97229 = 3*b + f + 10350. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 0.1 (c) 5839194 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393.59*1.\nAnswer: -393.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/61)*n)\/n*n*n**8\/n*n assuming n is positive.\nAnswer: n**(609\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4501 = 4*d - 4549, 4*d = 48 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-39))**(-8\/7) assuming i is positive.\nAnswer: i**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33661315 divided by -1160735\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -203820?\nAnswer: -40764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 31632?\nAnswer: 63264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 3500217?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-408)\/16*8\/(-3). Suppose -25 - w = 4*c + r, -2*r + 56 = -3*c. Let f = 22 + c. Solve -o = -f*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1405? (a) 0.1 (b) 11\/12 (c) 13\/5 (d) -2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-30)*(-2700)\/1215)\/(2\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160, -1865, -2570, -3275?\nAnswer: -3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -45*(60\/25 - 4). Let p = -68 + g. Suppose -u = -p*f + 2*u + 199, -5*f + 235 = -u. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 26*r - 23. Let n be l(27). Suppose -2*p + 3138 = -n*s, 3*p - 1260 = s + 3467. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(192))\/(sqrt(3) - 5*(sqrt(3) - sqrt(18)\/sqrt(6))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.22 (b) 15\/37 (c) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 4*t + 4. Let o be p(6). Let i be o\/16 - 6\/(-8). Suppose -2*m + 135 = -i*m + 5*v, 69 = -m + 2*v. Round m to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -604681a?\nAnswer: 6046808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (10 + -14) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqoqonokoqvkk. What is prob of sequence noqv?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 57*o**2 - 57*o - 47. Calculate s(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**5*o**0\/o**6 assuming o is positive.\nAnswer: o**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**3 + p**3 - 13*p**3 + 7*p**3.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 83*z**2 + 5*z + 2*z**3 + 82*z**2 - 7*z**4 - 8*z - z**3 as b*z**2 + a + s*z**3 + f*z**4 + l*z and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -71?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40226*h*w**3 - 20004*h*w + w**3 - 16*w**2 + 20*w - 181 wrt w.\nAnswer: -241356*h*w + 6*w - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 12:34 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -1 - (-17 + (27 - 13) - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43748 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1100) + 1)*-3*6*-1 + -3 + -3)**2.\nAnswer: 51840*sqrt(11) + 3209904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163390836 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 908 or 865?\nAnswer: 865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8272108, 16544219, 24816330, 33088441?\nAnswer: 41360552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7344) - sqrt(7344))\/sqrt(3) + -6*sqrt(102)\/sqrt(6) + 5.\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 102 = -10. Solve 5 = h*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 3, u: 1, t: 2, d: 5, m: 1}. Give prob of picking 1 u and 2 w.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8))**(3\/37))**8 assuming l is positive.\nAnswer: l**(-192\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llfe when four letters picked without replacement from {f: 4, l: 3, e: 2, g: 2, w: 6}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17063 + 3?\nAnswer: 17066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538988169 minus 344?\nAnswer: 3538987825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277041572.\nAnswer: 2, 13, 43789261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 19 (c) -18 (d) -0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440681 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 65b (base 12) to base 13\nAnswer: 56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * 6980.\nAnswer: 837600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 554615680377 and 4.\nAnswer: 554615680381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:13 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690962783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*c - 170, 15*c - 17*c = -4*c + 76 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**5 + 95*l**4 + 978*l**3 - 2852231*l**2 wrt l?\nAnswer: 300*l**2 + 2280*l + 5868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27725 and 413657.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -47.4. Let a = i - 23.4. What is the smallest value in 3, -1\/10, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 832121.2 to the nearest 10000.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803575181.\nAnswer: 29, 27709489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkru when four letters picked without replacement from {u: 1, r: 1, q: 5, k: 10}.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16 - -17 - (-2)\/(-10). What is the second smallest value in -2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3276 and 29841.\nAnswer: 4655196","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 25*z**3 + 0*z**3 - 5*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 45.000000552. What is a rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17638 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144217 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, 1145, -69?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1a6?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/118 (b) -3\/4 (c) 0.4 (d) 0.1 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let h = u - -14. Suppose 4*v + 2*i - h = 0, 0*v + 3*i - 5 = 2*v. Solve 2*p - 5*b = -14, -b = v*p - 3*p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**3 + 5*w**2 + 5*w - 8. Let z(d) = 3*d**3 - 2*d**2 - 2*d + 4. Let v = 16 + -20. Let m = v - -6. What is m*p(b) + 5*z(b)?\nAnswer: b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at most as big as -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 926, 3056, 7210, 14066, 24302, 38596, 57626?\n\"Answer: 113*w**3 - 5*w**2 + 8*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-5))\/(((-272)\/120)\/(-17)). Suppose k = 5*g - i, -11 = -g - 2*i + 5. Solve 22 + 18 = -g*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 16. Let d be q(11). Let r = d - -8. What is the nearest to -1 in 1, r, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*q - 2*m - 44, 3*q + 4*m = 17. Is -70\/141 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248474 and 849?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 715 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Suppose 0 = 4*w - 3*a - 27, 0 = -4*a - 1 - 3. Suppose -x*s = -74 - w. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(48) - (0 + sqrt(13))**2*4) + 5.\nAnswer: -47 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/28 and -25\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1031873*g**3 - 457294*g**2 wrt g.\nAnswer: -6191238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -25*q**2 + 10. Let l(i) = 4*i - 50. Let o(x) = -3*x + 35. Let j(k) = -7*l(k) - 10*o(k). Determine j(y(f)).\nAnswer: -50*f**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/5)*v**(-1\/2))\/(v**(2\/25)\/(v**7*v)) assuming v is positive.\nAnswer: v**(391\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.8862 and -27.\nAnswer: 212.9274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -380*w**3 - 287*w**2 + 7. Let l(v) = -191*v**3 - 144*v**2 + 4. Let d(g) = -4*i(g) + 7*l(g). Find the third derivative of d(u) wrt u.\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**5 + 160*a**4 - 18601*a**2 wrt a?\nAnswer: 180*a**2 + 3840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -2*sqrt(190))*1 + sqrt(190) - sqrt(190))\/(sqrt(40)*-3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 302528048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -64531\/3 <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 52*c**2 + 2. Let d(y) = y + 254 + 240 + 2*y - 494. What is d(o(k))?\nAnswer: 156*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 - 4*i + 2. Let c(l) = -8 - 7*l**2 - 3*l + 6*l**2 - 4*l. Let x be c(-4). What is the remainder when 33 is divided by r(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o - 36. Let j(b) = 2*b. What is c(j(l))?\nAnswer: -10*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q + 217\/60*q**6 - 6*q**2 + 0 + 1\/12*q**4 + 1\/2*q**3 - 1\/20*q**5. Let d be r(3). What is d rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 7) + 1 + 4 - 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.1825 rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*h**2*l**3*u - 5492*h**2*l*u**2 + 4*h**2 + 9162*h*l**3*u**2 - 11*h*l**2 wrt l?\nAnswer: -528*h**2*u + 54972*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323377231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123\/2 + -60. Let i be 1 + -3 + 4 + 6 + -6. Which is the biggest value? (a) p (b) i (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 514306?\nAnswer: 514310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/317622150 and 1\/75?\nAnswer: 317622150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2349)\/(-116) + (7\/4 - 1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62 or 906421?\nAnswer: 906421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r + 4*n - 588, -6 = 2*n. Let a(p) = 90*p - 5. Let y be a(7). Suppose 5*k + r = y. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:22 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21 or 8?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g + 0*g**3 - 5\/6*g**4 + 0 + 65*g**2. Let r(n) = 5*n**2. Determine c(r(x)).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.264 and 169131.7.\nAnswer: 169131.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12256*l + 67. Let i = -314 - -315. Is s(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let n = 5399 - 5398. Sort 4, n, r in descending order.\nAnswer: 4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose m = d*b + 2*b + 22, 4*b = -4. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spg when three letters picked without replacement from {s: 7, g: 3, p: 3}.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**1\/h*h)*h*h)\/h*h)**41*(h**(2\/7))**(-7\/2) assuming h is positive.\nAnswer: h**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25863857 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -37, 0.1, 1376\/9, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*9\/117.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4861153 divided by 6?\nAnswer: -4861153\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*i = 117*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/3 + h. Let f(o) = -o - 1. Let m(p) = -p**2 + 5*p + 5. Let v(i) = -5*f(i) - m(i). What is y(v(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 + 149. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2*c + 14 - 8 - 12.\nAnswer: -2*c - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281504 and 12920?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -110.0077. Round q to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364\/3 + -144. What is the common denominator of -3\/922 and x?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w - 5. Let z be c(-4). Suppose -5*d - z = k - 169, -5*k = -4*d + 106. Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 22, 26, 32, 40, 50, 62?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*n**5 + 6263*n**3 - 31*n**2 + 9382635*n wrt n.\nAnswer: -900*n**3 + 37578*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1467, 3282, 5097, 6912, 8727?\nAnswer: 10542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.55418m in centimeters?\nAnswer: 9155.418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k. Let b(m) = 14*m. Let x be ((-30)\/(-36))\/(3\/(-54)*-3). Suppose -q = -4, x*c - 3*q + 28 = -69. Determine c*d(o) + 6*b(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(3\/11)*d*d**(-1\/4)\/d*(((d\/d**(1\/18))\/d)\/d)\/d**(-1\/7))**(-17))**(-8) assuming d is positive.\nAnswer: d**(104618\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -3, 3\/43, -7 in descending order.\nAnswer: 47, 3\/43, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1530, 81, 1\/2 in descending order.\nAnswer: 1530, 81, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/15 + 97\/120. Let n(o) = o - 1. Let s be n(-3). Suppose -43 = -4568*j + 4611*j. Which is the closest to j? (a) d (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Let t(r) = -2*r - 1. Let n = -17 - -19. Let u(d) = 6*d + 2*d + n*d - 1 - 14*d. What is f*u(o) - 5*t(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opy when three letters picked without replacement from oeyseeopsoeeoeone?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -5*l**6\/6 + 8*l**5 - 125*l**4\/4 + 190*l**3\/3 - 70*l**2 + 40*l + 65. Let o(r) = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5 - g**2 - 1 - 2*g**2 + 4*g**2. What is the remainder when h(10) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.228065474 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 5 + (-6 - (-6 + 13))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/58 and -151\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 16*l**3 + l**2 - l. Let i be o(1). Let j = -18 + i. Let c = 66 + -44. Sort c, j, -5.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -75*k - 5. Let w be p(-1). Suppose w + 95 = 5*f. Calculate the lowest common multiple of 9 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-85)\/25 - (-6)\/15. Let h(c) = 198*c + 4. Let q be h(x). What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbnnqnnnbpn. Give prob of sequence nz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 6}. What is prob of sequence dd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + i + 15 + 6 + 1 as g*i + w and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -42, -62?\n\"Answer: -20*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 771*t**3 - 4062*t**3 - 6*t.\nAnswer: -4833*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Suppose 3 = 5*i + 2*r - 5*r, -3*r - 3 = -4*i. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 152 = 16*g, -j - 4*j - 3*g = 17 + 58 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-478)\/795 + 216\/360. Let u = j + -793\/1590. Let i = 0.2 + 0.3. What is the smallest value in 1, 5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let m(r) = r**2 + 32*r - 185. Let h be m(-37). Let i(y) be the third derivative of 1\/2*y**4 + h + 0*y**3 - 5*y**2 + 0*y. Give i(u(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 20*s**2 - 32*s - 7. Give i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -202, -2, -4 in ascending order.\nAnswer: -202, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*z**4 - 9*k*z**3 + 281*k*z + 191*k + 3*z**3 + 3*z**2 wrt z.\nAnswer: 12*k*z**2 - 54*k*z + 18*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(1\/23)))\/y**5*(y\/(y\/y**(-8)))**(-15))**(15\/4) assuming y is positive.\nAnswer: y**(40005\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*v**2 - 26*f*v**3 - 2*f - 867*v**3 wrt f?\nAnswer: 4*f*v**2 - 26*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -506?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 22851806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3 - (-1 + -2). Solve x = 3*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/171 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -992.620580345.\nAnswer: -994.620580345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - 6*p**3)*(p**2 - 2*p**2 - 5*p**2) + (-9*p**4 - 5 + 5)*(-2*p - 3*p + 3*p).\nAnswer: 36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 38 in decreasing order.\nAnswer: 38, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.08 (b) 10 (c) 59 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(10)*3)\/sqrt(2)*6.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 306108?\nAnswer: -306110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -0.02389.\nAnswer: -0.02389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 17*q**2 + 17*q - 23. Calculate z(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96565*d*r**2 + d*r + 4*r**2 - 2*r - 90100185 wrt r.\nAnswer: 193130*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -c - 2*w, w - 2 = -c. Calculate the remainder when 44 is divided by ((-2)\/c)\/((-14)\/(-63)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {j: 2, z: 1, g: 7, v: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*1)\/(sqrt(6)\/(sqrt(12)\/sqrt(4))) + -1.\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:57 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 34 - 48 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from gggffg?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 104874.\nAnswer: 10487.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - a + 519 - 496, -5*c + 62 = -2*a for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) 2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1365628, 1365633, 1365626, 1365601, 1365552?\n\"Answer: -m**3 + 12*m + 1365617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(sqrt(891) - ((sqrt(891)*-1)**2 + sqrt(891)) - sqrt(891)) - ((sqrt(891)*-5*5 - sqrt(891)) + sqrt(891))) + -2)*-1.\nAnswer: 1008*sqrt(11) + 10694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 13) to base 5.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79c (base 16) to base 15.\nAnswer: 89d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -22, 0, -0.2, 2\/35, -2\/7, -2496?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/7)\/u)\/u)\/u*(u\/(u**(4\/3)\/u))\/u assuming u is positive.\nAnswer: u**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 18974 = -212522. Let m = j + -11408. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 12:39 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + y + 254 = 2296, 0 = 5*g + 2*y - 2039. List the prime factors of g.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5289 + -4550. What is the remainder when z is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*2\/4\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2746263 (base 11) to base 3.\nAnswer: -22220200102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 128 = -148. Suppose -2*l = 10*u - 6*u - 2570, p*l + 4*u = 5152. List the prime factors of l.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786802.2ug in grams?\nAnswer: 0.7868022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b - 1. Let k be z(-3). Factor -7*i**2 + 3*i + 0*i**k - 2*i**2 + 6 - 3*i**3 + 3*i**2.\nAnswer: -3*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, l: 4, r: 3}. Give prob of sequence ll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r + 0*r - 12*r + r + r + 0*r + (5*r - r - 2*r)*(-3 + 5 - 3) - r - 4*r + 6*r)*(-5 + 3 + 0)*((-2 - 1 + 2)*(-3 + 3 + r) + (5 + 0 - 4)*(2 - 2 - r)).\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001917176627 to six decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6543946 and 104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, 97, 88, 73, 52, 25, -8?\n\"Answer: -3*z**2 + 6*z + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(4 + 3) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from qqqqwqqw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -33 + 38 + 56 - (-2 + -18)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10144.4974 rounded to zero dps?\nAnswer: -10144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*-3*(sqrt(7200) + (sqrt(7200) - (-1 + sqrt(7200) + sqrt(7200))))*1)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 5, c: 1}. Give prob of sequence cqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158685220.\nAnswer: 2, 5, 59, 89, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 219\/6 - (-4)\/(-8). Suppose -h*r + 64 = -64. What is the greatest common factor of 52 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:46 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00247016182 to six dps.\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -45*n**2 + 4. Let r(w) = -6*w**2. Let p(l) = -32*l**2. Let a(t) = 2*p(t) - 11*r(t). Calculate a(m(k)).\nAnswer: 4050*k**4 - 720*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93950668.\nAnswer: 2, 7, 19, 176599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g + 3*c - 22, 4*c = -5*g + 26. Differentiate 0 + 0*v**2 - 2*v**g + 0*v**2 + 3 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 2, e: 1, p: 2, i: 1}. What is prob of sequence evp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k + z, 4*k = -z - 16 + 4. Let t(w) = 54*w**3 - w + 1. Let h be t(1). Let u = h - 57. Which is the biggest value? (a) -1\/5 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*w - 2*w - 2, -2*w - 8 = 0. Suppose 3*a + 12 = 7*a. What is the remainder when 159\/15 - q\/(-5) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1, 2.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7462192 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 18*g + 81. Which is the second smallest value? (a) -2\/9 (b) g (c) 286 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 54*m + 8*m - 44*m.\nAnswer: -81*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y. Suppose -3*w = -5*w. Suppose 0 = -5*x + 3*m - 2*m + 40, -5*x - 3*m + 40 = w. Let o(p) = x*p**2 - 10*p**2 + 1 - 1. Determine q(o(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-4))\/(0 - 1). Let y(n) = 7*n**2 + 2*n - 1. Let f be y(-3). Let d = f + -225\/4. Sort d, 0.2, x in decreasing order.\nAnswer: 0.2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/19791244 and 7\/9064.\nAnswer: 39582488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 + 114077202*s\/5 = 0.\nAnswer: -114077202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943703?\nAnswer: 3, 193, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -2, 8, 2 in descending order.\nAnswer: 8, 2, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, a: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - -6) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202201297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16744 + -16743.8. What is the closest to 55 in g, -5, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/326 and 107\/644?\nAnswer: 104972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213176158?\nAnswer: 2, 13, 17, 29, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -1, -2*n + 5 = 5*w. Suppose x - 17 - 14 = n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Solve -l*h - 2*k - 24 = -5*k, 2*h = -4*k + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9051 and 33?\nAnswer: 99561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949 and 1241.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 1. Let h be (-3*19)\/1*(-4)\/(-6). Let p = 30 + h. Calculate k(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/19 - 158*a**2\/19 + 3198*a\/19 - 3042\/19 = 0. Calculate a.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 62071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 + 0*d**2)*(-2*d + d + 2*d) - 6 + 24*d**3 + 15*d + d**2 - 2*d - 26*d**3.\nAnswer: -d**3 + d**2 + 13*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**2)\/(s**(-5)*s))\/(s**(-9)*s\/s**(-1\/5)) assuming s is positive.\nAnswer: s**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 5*f - 6. Let i = 3 + -29. What is the remainder when s(-4) is divided by 924\/78 - 4\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sses when four letters picked without replacement from {e: 1, s: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2 + 1) + 432\/(-141) - (14924 - 14926).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1303 - 1322. What is the nearest to -1 in 2, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-43)*((u*u**18*u)\/u)\/u assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2 + (0 + 3 - 5)*(-3 + 4 - 2) - 3 - 2 + 4)*(21 + 3*x**2 - 21) as p*x**2 + y + r*x and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7831, 15661, 23491, 31321, 39151, 46981?\nAnswer: 54811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-204)\/9)*45\/6. What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.124 - -3.876. What is the nearest to 0.2 in y, -1\/4, 2\/9, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**3 - 4*v**2 + v + 1. Let y(p) = -31*p**3 - 21*p**2 + 6*p + 5. Let c(q) = 11*b(q) - 2*y(q). Determine c(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13119745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*a - 55 = -3*q, 3 = 2*q + 3*a. What is the remainder when 3\/q + (-2910)\/(-45) is divided by 1*4\/(-6)*-51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302318666 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16373256 rounded to the nearest ten thousand?\nAnswer: -16370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/4*p + p**2 - 9\/2 - 1\/4*p**3 = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(98) + sqrt(98) + -4 - sqrt(98))*4*3*2*5)**2.\nAnswer: -806400*sqrt(2) + 1641600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k + 1)*(5 - 1 - 6) + 4*k + k + 0*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-9) - (-32)\/9. Suppose y*n + 8*j = 4*j, -4*n = -4*j - 16. Calculate the highest common factor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13953886, 13953885, 13953884?\nAnswer: 13953883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255377 is divided by 195?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3\/2 (c) 0.3 (d) -5 (e) 2187\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -472707.69 to the nearest one thousand.\nAnswer: -473000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(324) + sqrt(324) + sqrt(324) + sqrt(324)*2 + sqrt(324) + sqrt(324) + sqrt(324) + sqrt(324) + sqrt(4)))\/(sqrt(8)\/(sqrt(12)\/sqrt(3))*2).\nAnswer: sqrt(11)\/164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 794.403 seconds?\nAnswer: 794403000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -12, -28, -44, -60?\n\"Answer: -16*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*74016.\nAnswer: -74016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*p + 86009 = 0, m - 4*p - 43015 = p. Round m to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from blbybhybyqxlyblqqb.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 14. Let u(x) = m*x**3 - 2*x**2 + 3 + x - 4*x**2 - 8*x**3. Determine u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.6 - -5. Let r = -2.4 + m. Put r, -1\/3, 0 in decreasing order.\nAnswer: 0, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -344, -2756, -9306, -22064, -43100, -74484, -118286?\n\"Answer: -345*l**3 + l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -2*p + 3*d, -p - 2 = 4*d. Let q = -3 + p. Find the third derivative of -4*c**2 + 60*c**q - 60*c**3 + 3*c**6 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80089 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let y be o\/5 - (-41)\/5. Suppose -4*s + 9*s = 15. Solve -s*f - 1 = y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 1893\/7. What is the second smallest value in 5, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**4*b*b)\/b**(-1\/7))**(-45)*(b**0*b)**21*(b**2)**47 assuming b is positive.\nAnswer: b**(-1445\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 2) + (-8 - (5 + -2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and -693?\nAnswer: -85932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and 571907.\nAnswer: -73204096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:24 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**24*(y\/y**(2\/7)*y)\/y*y*y**(-2\/3))\/(((y\/(y*y*y**6))\/(y**(4\/9)*y))\/(y**(-1\/6)*y**(-5)*y)) assuming y is positive.\nAnswer: y**(6719\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34053639.\nAnswer: 3, 23, 493531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6330 = 705*m + 3540 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372460609?\nAnswer: 3, 37, 101, 211619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178275 and 197475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((80\/12)\/5)\/(28\/42). Solve 30 = 9*t - 5*t + 5*y, -h*y = -4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(18)\/(-4*sqrt(6)).\nAnswer: -sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284462601 is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2397*t + 38343. Determine c(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**5\/20 + 7*w**4\/16 - 3*w**3\/2 + 5*w**2\/2 - 2*w + 152. Factor j(q).\nAnswer: -(q - 2)**3*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-199)\/4 - 12\/48. Let n = -44 - b. Suppose 3*h - n*j + j + 20489995 = 0, 0 = -5*h + 5*j - 34149995. Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 43*c - 50 = -38*c, 14 = -4*y - 5*c. Solve -88 + 100 = y*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5550 - c7a?\nAnswer: 45a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + -0.31. Let z = 219.4 - 224.4. What is the third biggest value in z, -1, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/120 - g**5\/60 - g**4\/8 - 5*g**3\/6 - 20*g**2. Let m be u(-2). Let y = 0.02 + -4.02. Is m equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(3 + -3*(sqrt(1872) + 4*(sqrt(1872)*2 + sqrt(1872)) - (sqrt(1872) + sqrt(1872)*-2 + 1)) + 3))**2.\nAnswer: -10080*sqrt(13) + 3302308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*x - 37 - 19, o = 4*x + 26. Is -223*(o\/(-35) - (-15)\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z - 42*z + 7 - 37*z.\nAnswer: -47*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -7*s + 74. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*w + 16*w - 631332. What are the prime factors of w?\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Solve 2 = 5*b - 3, 0 = v*a - 3*b - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -61. Let w(b) = -b**3 - b**2 + 1. Let g(j) = -16*j**3 - 2*j**2 - 5*j + 2. Let n(q) = c*g(q) + 2*w(q). Find the second derivative of n(a) wrt a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200222002 (base 3) in base 14?\nAnswer: -4d84d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 643*u - 61254 = 38*u + 65*u for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + 133\/14)*(-22 - 0). Find the common denominator of 15\/37 and (-6)\/t - 5\/(550\/559).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/9)\/d**(2\/3)*(d**(2\/7)*d)**(-16))**(2\/9))**(-33\/4) assuming d is positive.\nAnswer: d**(7205\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265648 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 8*m**2 + 21*m - 18. Let a be b(4). Sort 7, 0, 1, a.\nAnswer: 0, 1, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1970 and -49\/20.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 182 = 4*y, -235 = -4*y - y - 5*t. Does 20 divide 2 + -6*1 + y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.002 and -0.14.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8533645110\/49 - -174149760. Let s = -6263 - w. Calculate the common denominator of s and 17.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1304 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0199240701 to 4 decimal places.\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + -6 + 1*8. Solve -3*a = -k - 9, -j + 0 = -5*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 55 - 53 + 0*g**3 + g + 0*g**3 as k + p*g**2 + v*g**3 + s*g**4 + l*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 487061 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*v + 208*v - 1001*v)*(1 - 1 + 2).\nAnswer: -1736*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485550120*b**6 - 25827*b**2 + 27*b - 54?\nAnswer: 58266014400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose 2*i + z*i = 0. Suppose i = h + 3*h - 116. Solve 6*a - 9 = 4*x + a, x = -5*a + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222544 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:35 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:42 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 49*v**2 + 1214951*v\/3 - 11020 = 0.\nAnswer: -8265, 4\/147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/22 - 1849\/774774 - (-9)\/(-126).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 476221*c**3 - 2895374?\nAnswer: 1428663*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 8*-4*1. Suppose 0 = 2*j - v - 1. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398092812?\nAnswer: 2, 131, 809, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26337 (base 10) to base 13.\nAnswer: bcac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 543 and 2295.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + k + 5)*(2 + 0 - 1).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1499*q + 79471. Determine g(53).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2\/(-4) - (-52)\/(-8). Calculate the remainder when 11 is divided by b*(2\/4)\/(19\/(-38)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.1. Which is the nearest to v? (a) 0.3 (b) 4\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.852*-0.1\nAnswer: 0.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131*b + 98*b + 2 - 2 + (1 + 2 - 1)*(0*b + 2*b + 0*b).\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 353.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13497, -31546, -49595?\nAnswer: -67644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.90832 milligrams to nanograms.\nAnswer: 1908320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*k + 9. Suppose -k = -0*x - x. Are 7 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g - 6. Let y(a) = -16*a - 5. Suppose -118*t - 311 = 245 + 152. Let u = -56 - -61. Calculate t*y(w) + u*v(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -262918, 1, 3 in descending order.\nAnswer: 3, 1, -262918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.92 + -0.08. Put -1\/3, l, -0.2 in increasing order.\nAnswer: l, -1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3 + -5 + -1. Let b(s) = 4*s**3 + 3*s**2 + 3*s. Let q be 12\/3*(-2)\/(-16)*-6. Let z(w) = -7*w**3 - 5*w**2 - 5*w. Calculate f*b(j) + q*z(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 + 70*d - 475 = 0.\nAnswer: -19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/21)\/((-2)\/14). Put -1\/9, u, -0.3 in increasing order.\nAnswer: -0.3, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q - q**4 + 7*q + 11*q**4 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3830 - -2132. Let j = f - -1698.4. Let n = 0.7 + -12.7. Which is the third smallest value? (a) 2 (b) j (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 70 = 0. Let q = x + -5. Suppose 48 = 4*p + 3*n, -p = 8*n - 12*n + 7. What is the highest common factor of q and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (22 + -1 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32316460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let r(a) = 12*a**2 + a + 4. Let p(m) = r(m) - 4*y(m). Is p(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 (base 9) in base 3?\nAnswer: 210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)\/z)**(6\/13) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 1426141\nAnswer: 59\/1426141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 3*x + 3*x + (-3*x + 5*x - 4*x)*(-x - 4*x + 4*x) + x**2 + 2*x**2 - 4*x**2 + 32*x - 32*x - x**2 + 4.\nAnswer: 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, 1 w, and 1 f when four letters picked without replacement from ofzwoqoo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, v: 4, s: 9}. Give prob of sequence svss.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*1\/((-15)\/(-72)). What is the common denominator of 7\/10 and 2\/q*(-6)\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720)*1)**2 + -4 + 3 + -5 + sqrt(720) + sqrt(720)*2.\nAnswer: 36*sqrt(5) + 2874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4595738 divided by -2\nAnswer: 2297869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 0.2, -0.036, 19.\nAnswer: -5, -2\/5, -0.036, 0.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 - 3*k + 3*k + 3*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5852730?\nAnswer: 2, 3, 5, 13, 43, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**2 + 71*h**2 + 19715*h**3 - 41*h**2.\nAnswer: 19715*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*k - 17 = k, 5*q + 10 = 5*k. Let y(u) = -u - 4. Let g be y(q). Find the first derivative of -g + c**2 - 1 - 1 + 5 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*o + 1300 = 0, -p - 4*o = 3*p - 2588. Suppose 30*w = 3*w + p. Calculate the smallest common multiple of w and 141.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -8.52 (c) 0.11192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -442, -946, -1642, -2524, -3586, -4822, -6226?\n\"Answer: w**3 - 105*w**2 + 2*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n**2 - 49*n - 160. Let j(o) = 9*o**2 - 24*o - 79. Let x(h) = -6*d(h) + 13*j(h). Is 7 a factor of x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 80\/48*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-118.1\nAnswer: 47.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r**2. Let p(x) = 1009664*x. Determine i(p(s)).\nAnswer: 19369006465024*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 99, 258, 543, 996?\n\"Answer: 7*h**3 + 26*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -65.14. Let y = 0.16 - g. Which is the nearest to 1? (a) -3\/5 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.088 + -0.012. Sort 0.4, x, 2.\nAnswer: x, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 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: Let i(c) be the first derivative of c**2\/2 + 3*c - 3. Let s be i(-1). Solve 2*g - s = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254335\/8 + 31792. What is the closest to -1\/3 in -3, 1\/106, 3\/5, v?\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -25, q + 5*y - 8 = -34. Let i be q\/(-2)*2 + 3. Suppose -1 + 0 = -j. Solve -5*k = -i*k + j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 13 = 11*o - 16*o - k, -5*k = -30 + 63 - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 19347*w = 19344*w - 42, 4*d + 476 = -34*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 - 8*a - 7. Let k be n(-5). Let t = k + -11. Let s(c) = -4*c - 4. What is the units digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 616603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1904 = 6*k - 7652. Suppose -7*j + 4171 - k = 0. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - 4*d + (-1 - 2*d + 1)*(3 - 5 + 0) + 3*d + 2*d - 3*d - d - 13*d - 6*d - 4 + d + 4)*(-22 - 5*d + 22)*(7 - 4 + 2).\nAnswer: 375*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 14*n - 1. Let q be f(10). Let i = 514 - q. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*b + 353*b = 7306 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 2. Let u be f(1). Put 3, u, 2 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201210010 + -12122000?\nAnswer: -12221102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 2*z + (-2 + 2*z + 2)*(-4 + 4 + 2) + 2*z - 3*z + 3*z + 4*z - 6*z + 0*z)*(-5*z**2 + 5*z**2 - 6*z**2).\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 34 = -2*m + 2*c, -74*m - 6*c + 98 = -c + 578 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*g = 4*g + 14, 18 = 5*m + 3*g. Suppose m = a + 4. Suppose -4*q - 3*w + 26 = -0*w, 36 = 4*q - a*w. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 - -289. Put 1, -6, 3, r in descending order.\nAnswer: 3, 1, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538749 is divided by 1216.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -145, -132, -119, -106, -93?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 7 = 0. Let w(g) = g - 4. Let u be w(i). Suppose 5*k - u*d + 0*d = 221, -4*k + 196 = 4*d. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + ((sqrt(1088)*-3)**2*6 - 5*(2 + sqrt(17) + 2))).\nAnswer: -352404 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.0677, 4, 2\/9, 2, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 1 - 41. Suppose -2*g = -5*v - m - 13, 4*g = -2*v - 6. Calculate the remainder when 1 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377315671.\nAnswer: 43, 4493, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, i: 1, m: 1, n: 2, q: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s, -4*v - 4*s + 5 + 15 = 0. Let f be (3\/(-1))\/(v\/(24\/(-9))). Suppose 4*c + 3*q = -6 + 25, f*c - 4*q + 18 = 0. 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*v**2\/5 + 234*v\/5 + 232\/5.\nAnswer: 2*(v + 1)*(v + 116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*d - 60*d + 59*d - 350*d as t + b*d and give b.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*(-3 - -1) - -2. Let x = 8 + p. Let y = x - -13. Solve 5*q + y = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 2*z**3 - 6*z**4 + 2*z**4)*(-9*z - 1 + 4*z + 2).\nAnswer: 15*z**5 - 13*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 615467700 divided by -307733850?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 7*f + 7. Let u(j) = -j - 1. Let i(a) = a**3 + 6*a**2 + 7*a. Let x be i(-2). Determine x*n(r) + 14*u(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4621a (base 13) to base 12.\nAnswer: -61b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1280688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r + 7. Let f be h(-7). Suppose 5*m = f + 16. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 362295, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125515923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -22\/3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 + 6*q + 8. What is the remainder when 47\/2*-2*-1 is divided by j(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 84*o**2 - 83*o + 129. Calculate c(-43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o - 5. Determine n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 89 times -0.2\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*b - 37409 = 0, 2*t + 2*b - 37394 = -3*t. Find the third derivative of -14*y**6 - t*y + 2*y**6 + 34*y**2 + 7480*y - 2*y**4 wrt y.\nAnswer: -1440*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 162*((-45)\/(-6))\/(-3). Let k be 1\/1*i\/(-9). Let d = k + -32. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293, 6226, 14809, 27036, 42901, 62398?\nAnswer: 85521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3024660052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4146 (b) -0.15 (c) -13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4167 and 1389?\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*g)*(-4*g + g - 4*g) - g + g + g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 53*t + 5. Let r(u) = -2*u. Give z(r(p)).\nAnswer: 12*p**2 + 106*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -4.97.\nAnswer: 119.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1925659 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, v: 1, n: 1, w: 1, i: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(4\/1))\/((-6)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (-1 + sqrt(320))**2 + -5.\nAnswer: -16*sqrt(5) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 - 47170*o**2 + 330405*o - 283230 = 0. Calculate o.\nAnswer: -9441, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 - 23929722*u**3 + 9*u**2 - 2*u + 3068573?\nAnswer: 24*u - 143578332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329157 is divided by 664575.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 1, f: 4, r: 2, s: 4}. Give prob of picking 1 r and 1 f.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-28 - -3) - 28\/(-10). Suppose 0*v - u*v + 4*g - 244 = 0, -4*v - 334 = -g. Let l = v + 156. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - 10*q - 8. Let j be (0 + 1)*((9 - 3) + -4). Suppose 0 = -j*p - 13 - 3. Give o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790353.1l in millilitres?\nAnswer: 790353100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 - (-1 + (8 - 11))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-6))\/(39\/(-702)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:52 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*h = -62*h - 786006. List the prime factors of h.\nAnswer: 2, 3, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 1272670*a - 404922232225 = 0. Calculate a.\nAnswer: 636335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296 - 415. Let a = n + 122. Solve -20 = a*r - 2*l, -4*l = -5*r + l - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1106, 604, 102, -400, -902, -1404?\nAnswer: -1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o = 558 - 48 + 840 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 3.2. Let y = 10394.6 + -10394.3. What is the nearest to 3\/4 in u, y, -0.1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -15. Let o be 6\/n - (-4)\/3. Suppose o*w - r - 7 = -2*r, 3*w - 2*r = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 1. Let c(h) = 2*h - 7 - 4*h + 0*h. Let i be c(j). Solve -2*l + 4*f = -7*l - 18, 0 = l + i*f + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 93*s - 36*s + (2 + 0 + 0)*(s + 2*s - 4*s) + (s - 1 + 1)*(-6 + 13 + 3).\nAnswer: 65*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from mxrqarmmxvr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.4 (b) -2 (c) 1\/2 (d) 162 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 67 = 3*u, -u + 405*p - 400*p - 8 = -27 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) -4 (b) 2\/3 (c) 6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1214783*n**2. Let s(v) = 2*v. What is s(o(r))?\nAnswer: -2429566*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from {t: 2, y: 2, e: 3, p: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72437 and 28611?\nAnswer: 121911471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 9. Let j = -32.4 + -2.6. Let w = 36 + j. Which is the nearest to w? (a) 0.3 (b) -3\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + 13 - -3 - (6 - -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/6 + 41*v**4\/3 - 85*v**3\/2 = 0. What is v?\nAnswer: -85, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*l**2 + 21*l - 42*l**2 - 43*l**2 + 1.\nAnswer: -276*l**2 + 21*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11908151, 11908140, 11908127, 11908112, 11908095?\nAnswer: 11908076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641084 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3026, 0.3, -5, -1\/8, -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12148884 divided by -2?\nAnswer: 6074442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 8*z + 0*z**2 - z**2 - 1. Let h be c(-6). Suppose 2*d = -5*b + 1530008, -d + 662432 = h*b - 867572. What is b rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9398955 * -0.06.\nAnswer: 0.05639373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 265511177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 9. Let i be d(-6). Suppose -40 = -i*k - 5*y + 54, 4*y = 2*k - 26. Solve -5*b + 4*p = -k, -5*b - 8 + 25 = -p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d. Let o(i) be the third derivative of i**4\/8 + 2*i**2. Suppose 25 = -4*r + j, 353 - 348 = 2*r + 3*j. Calculate r*o(b) + 3*h(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13479 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 42 = -10*u, 18*u - u - 20 - 18 - 9 = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {p: 2, e: 2, l: 2, c: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428803 is divided by 118?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/60*6*-5 + 1522. What is the greatest common factor of 155 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323512 or -323358?\nAnswer: -323512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-4 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**9\/168 - 5*b**6\/72 - 2*b**3 + 11*b. Let y(u) be the second derivative of k(u). Find the third derivative of y(n) wrt n.\nAnswer: 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2581828, 2581836, 2581844, 2581852, 2581860, 2581868?\nAnswer: 2581876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3154, 3502, 21568, 56750, 114754, 201286, 322052, 482758?\nAnswer: 689110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 1730 + 1730.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2219398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.17558 - -0.13358. Let g = -0.042 - r. Let p = g + -24. What is the second smallest value in p, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.15435328 to three decimal places.\nAnswer: 2.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 + 1782*w - 394276 = 0.\nAnswer: 409, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-190520)\/(-528))\/433)\/(6\/(594\/75))\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.4, 1, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45723469 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25\/10*12\/5 and (-2)\/(0 + 2\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 - 6*g**4\/5 + 13*g**3\/5 - 12*g**2\/5 + 4*g\/5.\nAnswer: g*(g - 2)**2*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 2 (b) 1\/5 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9179113*s**4 + 4399198*s + 2.\nAnswer: -110149356*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*3 + -4*5*sqrt(65))\/(-2*sqrt(45)\/(4*sqrt(729))).\nAnswer: 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/4, 5, -8\/245?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (1 - -1). Suppose y = -0*o - 3*o + 12. Let j be 27\/6*2\/3. Solve n + i - j = -o*n, 5 = 3*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -939, -4232, -9859, -17820?\n\"Answer: -1167*o**2 + 208*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16154372351\/17094 - 945032. Let o = v + 1\/462. Are 1 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m*t**5 + m*t - 40*t**6 + 8*t**2 - 3 wrt t.\nAnswer: -60*m*t**2 - 4800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -100. What is the nearest to 1 in 2\/11, j, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30972 divided by -230\nAnswer: -15486\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19276703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.69769741 to 3 decimal places.\nAnswer: -83.698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359.3724 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - b**3 + b**3 + (1 + b - 1)*(-2*b + b**2 + 2*b) + 0*b**2 + 0*b**2 + 2*b**3 + 12 + 19 + 8 + 21*b**3 to k*b**3 + h*b**2 + d*b + o and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**3\/2 - 5*x**2\/2 - 3*x. List the prime factors of j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50299 and 358?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 13 - 4\/(-10). Let l(h) be the first derivative of 0*h**2 + 0*h + 4 + 0*h**4 + d*h**5 + 4\/3*h**3. What is the third derivative of l(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*n + 1 = -45, -5*n + 78 = 3*u. Suppose -h + 3*b + u = b, -4*h = -4*b - 116. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 804219?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 5, 20, 39, 62?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14412677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 + 2*t**2 - 2. Let a(j) = -4*j**3 + j**2 - 1. Let u be (-7)\/14 - 6\/4. Let y(n) = u*a(n) + 3*p(n). Determine y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 613\/(6*(-1)\/204).\nAnswer: 3, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 y when three letters picked without replacement from bnnbury?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 + 0. Let s = d - -0.22. Let w = -7 + 4. What is the biggest value in w, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - b = 32, -3*u - 87*b = -90*b - 39. Solve -u*v = 19*v - 35*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 183*y - 973. Let v be k(8). Solve a + v = 490 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*h - 8 + 348*h - 160*h.\nAnswer: 20*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1188 and -13\/8316.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8209.636 days in hours?\nAnswer: 197031.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69473518?\nAnswer: 2, 1931, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 48, -1\/3, 2.2, 3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 43 + 31. Suppose -b*q = -134 - 678. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*j + 36 + 3 = 0, -5*d - 29 = 4*j. Let r = -68\/3 - -22. Put d, r, 0, -4 in increasing order.\nAnswer: d, -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*g = -72, 6*t - 4*g = 3*t + 19. Calculate the greatest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/6*-3*5\/6*(-132)\/(-165)?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2803 = -216*i - 10493 - 12192 for i.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b**4 - 7990*b**3 + 147255*b**2 - 342290*b - 83424 = 0 for b.\nAnswer: -2\/9, 3, 16, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -45\/92?\nAnswer: -45\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978937 is divided by 326309.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30021 + -13200111?\nAnswer: -13230132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.117 and 62?\nAnswer: -7.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 3*x. Let t be r(-3). Let k = -13 + t. Let j = k - -7. Solve j*s + s = 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -0.1. Suppose -2*p - 1 = -p, 0 = -r + 2*p + 2. Let o = -104\/3 - -35. Which is the nearest to r? (a) o (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3365 >= -0.049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 3 - -4)\/((-6)\/98). Suppose 3*g - 4*g + n = a, 3*a + 4*g - 147 = 0. Calculate the remainder when a is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h\/(h*h\/(h**(-1)*h))))\/h)\/h)**39)**(-8\/11)\/((h\/(h*h*h**(-1\/2)*h*h))\/h**(-2\/5))**42 assuming h is positive.\nAnswer: h**(3291\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 - 16*z + 14. Let t(r) = -5*r**2 + 5*r - 5. Let g(s) = 3*l(s) + 8*t(s). Let x = -31 - -37. Let c(k) = -4*k**2 + 7*k - 2. Give x*c(q) + 5*g(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = 7. Suppose -34 - 29 = -w*h. Let l = h - 15. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/217 - -1452\/5425. What is the common denominator of h and 1611*12\/(-3600) + 91\/28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3297 at most -798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -4 (b) 13 (c) 3 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343195*t**3 - 28970*t wrt t?\nAnswer: -2059170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/164 - 683\/1476. What is the third smallest value in 3, 2\/21, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/7 + 249117*y**3\/7 + 747405*y**2\/7 - 2242053*y\/7 - 6726402\/7 = 0.\nAnswer: -3, 3, 83042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -5*o**9\/504 - o**5\/10 - 3*o**2. What is the third derivative of i(j) wrt j?\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from agazaaycga.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 - 248. Suppose 4 = -4*h, 0 = 3*u - u + h + 1. Factor u*r**2 + 2\/5*r**i + 0 - 2\/5*r.\nAnswer: 2*r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 - (5\/5 + 2). Let n be (s + 19)*5\/1. Solve 4*m + m = n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = k + 5*a, 0 = -3*k - 3*a. Suppose -2*b + 2*y + 6 + 2 = 0, 0 = 3*b + 3*y + 6. Let i be (-3 - -1)\/(b - 0). Sort k, -4, i in decreasing order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2062 + 12530. Suppose -y = -6*y - 5*c + 13090, -3*c = 4*y - u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380340 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12112110 (base 3) to base 7\nAnswer: -14523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2. Let m(a) = -656 + 1298 - 2*a - 655. Calculate m(o(t)).\nAnswer: 4*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -287736 less than 36.588?\nAnswer: 287772.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2359, -1, 2, 3, 257 in ascending order.\nAnswer: -2359, -1, 2, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 8. Let y(m) = -m**3 - 14*m**2 - 12*m + 9. Let o be y(h). What are the prime factors of 170\/o*8\/(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 8) to base 4.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 70. Let g = 183 - 159. Suppose 0 = 17*l - s*l - g. What is the lowest common multiple of 22 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -164. Let z(l) = b*l**2 - 19*l**2 - 27*l**2. Let n(g) = -8*g. Give n(z(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10804 - 10480 = 162*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-2\/19)*l)\/l)\/l)\/l**(-22) assuming l is positive.\nAnswer: l**(435\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2123*z**2. Let g(l) = -l. Calculate g(f(m)).\nAnswer: -2123*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -23419 (b) -1 (c) -4\/17 (d) 0.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 4 - 3 + 3*o)*(-8 + 8 + o) - 5 + 5 + 2*o**2 + (-4 - o + 4)*(2 + o - 2) - 2*o**2 - o**2 - o**2 to the form v*o + i*o**2 + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmdykddymkf. What is prob of picking 2 y and 2 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05063*0.02.\nAnswer: -0.0010126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3108869 decades?\nAnswer: 37.306428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 382981476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (320\/(-200))\/(8\/(-70)). Let o = 33 - w. Calculate the remainder when 75 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -12.4. Let x = -0.24 - 0.06. Sort c, x, -4 in decreasing order.\nAnswer: c, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*a = -4, l + a + 1 = -1. What is the tens digit of 3\/6 - 78\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 98. What is b(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d92 + -2?\nAnswer: -2d94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499749022?\nAnswer: 2, 617, 404983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/120 - 7*v**4\/12 + 29*v**3\/12 + 11*v**2. Factor h(m).\nAnswer: -(m - 1)*(m + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-48)*-22*(-10)\/(-55)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 697, 1384, 2073, 2764, 3457?\n\"Answer: m**2 + 684*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2232\/(-31))\/18*1\/((-20)\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-10)*(-442050)\/25260?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5977623926 and 5?\nAnswer: 5977623931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*r + k + 4*k, -5*r + 4*k - 12 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 2*p + w, 0 = 2*w + 6. Is (980\/420)\/(1\/57 - p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**2\/2 + 5*m + 3. Let a be h(-7). What is the third biggest value in -5, a, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2367*y**2 - 2387*y**2 + 4755*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1100001110001100100011?\nAnswer: 1100001110001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -1 + 1\/5*o**5 - 1\/2*o**4 + o**2 - o + 0*o**3. Factor c(y).\nAnswer: (y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**7\/420 - 5*s**4\/24 + 2*s**3 - 3. Let l(p) be the third derivative of y(p). What is the first derivative of l(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*j - 211*j - 311*j - 29*j + 228*j.\nAnswer: -612*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 14) in base 13?\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*11\/((-330)\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -60*p**2 - 506*p - 855. Give a(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/4)\/((-2)\/8 - -1). Suppose 3 = -r*w - 3. Let f(k) = -6*k - 1. Determine f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-43 - -38)*(1 - 2)\/1. What is the second derivative of 35*y - 33*y**3 + 10*y**3 + 20*y**3 + 9*y**d wrt y?\nAnswer: 180*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*j - 87 = 0, -5*d = 11*j - 13*j - 92. Calculate the smallest common multiple of ((-6)\/7)\/(3\/(-63)) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -753*w**2 + 24*w + 25. Let t be 5\/(-15)*-15 + 20. Let g be z(t). Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/(-48))\/(1\/(-29)) and -105\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-20) + 7766\/(-14120)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1020 and -149\/90?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 12\/(-3))\/(-22 + 517\/22). Let f be 1*(1 - -1) + -1. Solve -5*y - 5 = -5*i + h*i, 3*y - i = -f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14914866 to the power of 1\/2, to the nearest integer?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 33 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*l + 5 = 0, -s - 2*l = -5*l + 15. Is s equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 + 325*i**4 + 4775*i**3 - 16325*i**2 + 17000*i - 5780.\nAnswer: 5*(i - 1)**3*(i + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60593*x + 121892*x - 61298*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-15))\/(22\/(-5) + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-32)\/(-96)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 247285, 494552, 741819, 989086, 1236353?\n\"Answer: 247267*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77)\/(sqrt(7) + sqrt(112)) + -1*sqrt(11)*-6) - (-3 + sqrt(275)*2 + 4)**2.\nAnswer: -1101 - 131*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 54*y**2 - 12*y - 1. Calculate p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + g + 89, 5*d + 3*g + 3 = -94. Which is smaller: -18 or d?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.1. Let n = -4.953719 - 0.046281. Which is the second biggest value? (a) g (b) n (c) -13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2141, 4275, 6369, 8417, 10413, 12351, 14225?\nAnswer: 16029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 5, -1.1, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(288)*-1)**2 + (sqrt(360)*-1 - sqrt(360))\/(sqrt(125)*-2))*-3.\nAnswer: -861 - 378*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Suppose 0 = i - 5 - 2. Let q = -2 + i. What is the units digit of r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w - 257 = -229 - 220 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 4*z = -11, 13 = 5*l + z. Let r(n) = 8*n - 4. Let k be r(l). Suppose m = 5*m - k. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -3661*l**6\/120 + 141*l**4 - 2092*l**2. Find the second derivative of h(m) wrt m.\nAnswer: -21966*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**3 - 5*f**2 - 13*f + 13. Let t(o) = -6*o**3 + 2*o**2 + 6*o - 6. Let h(v) = -6*b(v) - 13*t(v). Find the third derivative of h(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 4, g: 2, h: 2, y: 2, p: 1}. Give prob of sequence jp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 2*h**4 - 2*h**4 + (2*h**2 - 8 + 8)*(10*h**2 - 7*h + 7*h).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 less than -13420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b78563 + -5?\nAnswer: 8b7855c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**6*a**(6\/11)*a*(a**4\/a)\/a**(-1)*(a**(1\/3))**(4\/31)\/(a*(a*a\/a**8)\/a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(75041\/4092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253248 and 348.\nAnswer: 7344192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/12)\/(3\/8). Suppose t + 4*u - 23 = 0, -3*u = -n*u + 5. Is 2 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 73 (c) -136 (d) -0.2 (e) -0.4 (f) 0.168\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8583, 17176, 25779, 34398, 43039, 51708, 60411, 69154?\nAnswer: 77943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 1 - 179*k**3 + 115*k**3 - 402*k**3. Let j = 5 + -6. Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15348.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o - 149 + 490 - 133 = -792 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/((-2268)\/350))\/((-5)\/(-3)))\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncjcnbnnnjjnbnnn. What is prob of picking 4 n?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*3*sqrt(91) - sqrt(91))\/sqrt(7) + (sqrt(1300) + -4*(-1*sqrt(1300) - sqrt(1300)) + (sqrt(1300) - (sqrt(1300)*2 + sqrt(1300) + 4)))**2.\nAnswer: -564*sqrt(13) + 63716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**10\/s))\/s**(-6)*(s\/(s**(-1\/3)*s))**(2\/145) assuming s is positive.\nAnswer: s**(-1303\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 45*f - 147. What is q(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 0 - 32\/15*a**3 + 7\/75*a**5 - 3*a**2 + 1\/150*a**6 + 4\/15*a**4. Factor u(v).\nAnswer: 4*(v - 1)*(v + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011111100101100 - 11?\nAnswer: 10010011111100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2. Let b(f) be the first derivative of -f - 1\/3*f**3 + 1 + 0*f**2. Let z(w) be the first derivative of b(w). Determine z(i(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -5 (b) -1 (c) -0.037 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x**3 - 4*x**2 + 4*x - 2. List the prime factors of m(2).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0481\nAnswer: -0.5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**3 - m**2 - 7. Let h(j) be the first derivative of 17*j**4\/4 + 2*j**3\/3 + 15*j + 6. Suppose -2*g + g = -13. What is g*o(z) + 6*h(z)?\nAnswer: -2*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.4, -4, 59648, 3, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7087380*a**3*c + 127*a**3 - 5*a + 18405 with respect to c.\nAnswer: -7087380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 + 3 - 2253*g**3 - 9*g**2 - 23*g**2 + 634*g**3.\nAnswer: -1619*g**3 - 14*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 8, u: 8}. What is prob of sequence rure?\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -2 - (-17 - 16 - -58)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 23*g + 26*g + 9 - 3.\nAnswer: 3*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 0.2, 2\/5, 20\/3 in decreasing order.\nAnswer: 69, 20\/3, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10030 - 10029. Is 7\/1434 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2161*i + 38916. Let h(o) = -o. Determine h(d(x)).\nAnswer: -2161*x - 38916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14) - 44\/24640*-390\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16354929 rounded to 5 decimal places?\nAnswer: 0.16355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - a + 30 = 0, 0 = -5*b + 3*a - 8*a + 50. Suppose 2*d - 5*y = 431, d - 108 = b*y + 120. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 180760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/(4\/(-10)). Suppose r - d*i - 19 = -5, -4*r - 2*i = 14. Which is the third smallest value? (a) -1\/5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*28\/(-105)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 167 = -23*n + a, 452*a - 32 = 4*n + 453*a for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1933338 (base 10) to base 7.\nAnswer: -22301361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4925, 9849, 14773?\n\"Answer: 4924*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/10)\/((-18)\/12). Suppose -l + 0 + f = q, 2*q - l - 17 = 0. Solve -p = 2*p - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 43, 59, 91, 145, 227?\n\"Answer: g**3 - g**2 + 2*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1637?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 + 3*x**2 + 1 + 2*x - 3*x**2)*(2 + 2*x - 2).\nAnswer: 14*x**3 + 4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 5*u = 93, 2*q + 2*u - 1682 = -1658 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 42. Suppose -5*k - 2*r + 27 = -m*r, 7 = -3*k - 4*r. Let b(j) = -2*j - 6. Let l(f) = -1. What is k*l(g) - b(g)?\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33363662 rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 1, -1, 101, -6, -25.\nAnswer: -25, -6, -1, 1, 2, 13, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22867 - -23240. Solve 360*c = n*c + 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*m = -257*m - 21. Let v be (m\/5)\/(-155 + 152). Factor v*h - 1\/10*h**2 - 1\/10.\nAnswer: -(h - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123063\/5 or -24612?\nAnswer: -123063\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (105*28\/840)\/((-21)\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/182*9\/6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 299 = 7*k + 551 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 2716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4\/24 - ((-1930)\/(-60) - 10)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4, 40*h + 3*b + 53307 = 43*h. What are the prime factors of h?\nAnswer: 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-3)\/24)\/(2\/(-16)). Let j(v) = 66*v - 46. What is the remainder when 169 is divided by j(a)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1*(-2)\/(-2). Let p be ((-56250)\/27)\/(k\/348). Let w be (p\/3 + 0)*48. Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 541984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*j**2 + 25 + 11*j**4 - 22 - 3 wrt j.\nAnswer: 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201321101303221 + 11?\nAnswer: 201321101303232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/14)*h)**(6\/7)\/((h*(h**(1\/6)*h*h)\/h)\/h*h*h*h**(-8)) assuming h is positive.\nAnswer: h**(1691\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -78*h + 335*h + 70 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(38)\/sqrt(2) - 5*(sqrt(19) + sqrt(19) + 1)) + -5)*-3.\nAnswer: 30 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7848*-26\nAnswer: 20.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/13 (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g**7 - 27*g**2 + 0*g - 9\/112*g**8 + 0 + 0*g**4 + 0*g**6 + 1\/30*g**5 - 7\/6*g**3. Find the third derivative of f(q) wrt q.\nAnswer: -1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 543?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -160*r + 7. Let w(l) = 240*l - 10. Determine -7*v(s) - 5*w(s).\nAnswer: -80*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 less than or equal to 3451\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, s: 4}. Give prob of picking 1 s and 3 y.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.42014 centimeters?\nAnswer: 64201400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 19 + 271*t**2 + 35 + 8. Let x(c) = 2*c**2 - c + 1. Let j(v) = u(v) + 6*x(v). Find the second derivative of j(b) wrt b.\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1000031?\nAnswer: 1000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112717216?\nAnswer: 2, 3522413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*-3*1 - 2. Suppose -983 + 539 = -3*j. Is n - j\/(-8)*68 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732109911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -45. Which is the nearest to 0.1? (a) 3\/8 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61, -268, -615, -1096, -1705?\n\"Answer: b**3 - 76*b**2 + 14*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/(3\/(-30)). Let v(o) = -o**3 - 4*o**2 - o - 5. Calculate v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 101*y - 1220. What is f(-35)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s**2 - 85*s + 6. Determine v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5633 divided by 96159\nAnswer: -5633\/96159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 4*l - 8. What is the tens digit of n(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7712765 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*i - 14, 5 = -5*i + 2*h - 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - 2*h - 24. Calculate c(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -29*b**3 - 24*b**2 - 211*b - 12. Let h(n) = 31*n**3 + 28*n**2 + 210*n + 14. Calculate 6*h(r) + 7*o(r).\nAnswer: -17*r**3 - 217*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, -4, 5, -2\/63, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s + 460. Let o be l(-32). What is the second biggest value in -5, 2, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/11*(-2)\/3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304103 (base 5) to base 3.\nAnswer: -111120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**8\/840 - x**7\/210 + x**5\/30 + x**4\/12 + x**3 - 3*x**2. Let y(b) be the first derivative of h(b). Solve y(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/21)\/((-1)\/(-6)). Suppose -5*w + 3*g - g = -254, u*w - 110 = 5*g. Calculate the greatest common divisor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87a37 (base 15) to base 3\nAnswer: 210220010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29690641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4567033 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41704, 83165, 124626, 166087, 207548, 249009?\nAnswer: 290470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/349 > 24.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 62*c**2 + 88*c + 121. Give x(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 2937.3.\nAnswer: -1174.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*f**2*h**5 - 9305*f**2*h**2 + 1759366*f**2*h wrt h?\nAnswer: 2900*f**2*h**3 - 18610*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 1:12 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - 2167.5?\nAnswer: -2288.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283540356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 1186798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*h + 0 - 3 - 3 - 41*h to a*h + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -937 divided by -118?\nAnswer: 937\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/184)\/((-2)\/(-2))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3505754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.02. Let d = 41.5 - -180.5. Let z = d - 221.7. Sort z, -1\/2, 0.1, s in increasing order.\nAnswer: -1\/2, s, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1298.94846 - -1298.8. Let r = -0.15 - a. Round r to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 770\/3 + -259. Let z = w - -8\/3. Factor 1\/3*t + 0 + z*t**2.\nAnswer: t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6452, 12870, 19288, 25706?\nAnswer: 32124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37932.\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -5145 and -51463\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 + 216*f + 5832 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 336.3362 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {l: 3, e: 2, b: 1, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookkbx. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c**6 + 0*c**4 + 1\/10*c**7 + 0*c + 0*c**5 - 4*c**3 + 0 - 17*c**2. Differentiate v(o) wrt o.\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -363, -777, -1347, -2073, -2955?\nAnswer: -3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12505 - -1.\nAnswer: 12506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 2*j + (0*j - j - j)*(1 - 1 - 1) + 0 - j + 0 + 0*j - 2*j + j)*(-9*j - 5*j + 3*j) + 5*j**2 - 2*j**2 - j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1062*s + 888*s - 1915*s + 2590 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1161\/13 - 11511\/104. Let t = 389\/24 + m. What is the common denominator of t and 71\/792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -105, -4, 1\/331?\nAnswer: 1\/331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*p - 4*n - 6 - 4 + 1, -22*p + 13*p = -11*p + n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770403.4 decades to millennia.\nAnswer: 7704.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.1197262 months?\nAnswer: 0.17664385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639403142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, f: 1, p: 7}. What is prob of picking 2 p and 1 g?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 43*v**2 + 2*v - 47. Calculate d(43).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -436240*o**2. Let a(c) = 52*c. Determine r(a(g)).\nAnswer: -1179592960*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8629 - 2.688. Round t to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11016 + 5694 + 18*x + 5325.\nAnswer: 18*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/(-2)*4 + 0 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**3 + 26*y + 0 - 23\/2*y**2 + 7\/4*y**4. Find the first derivative of k(n) wrt n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyeddweegez. What is prob of sequence eed?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/12 + x**3 - 15*x**2\/2 - 5*x. Let g be z(7). What are the prime factors of 984\/88 + 4\/g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 2346.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:33 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/9)\/((-4)\/6). Suppose 17*a = 4*a - 2*a. Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*k - 4*y, -157 = 5*k + y - 37. Let m = -6 - k. Let v = -10 + 20. Calculate the remainder when m is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830*k - 863*k = 66. Let c = 1108 - 15537\/14. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 41455?\nAnswer: -41510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146966, -587777, -1322466, -2351033?\n\"Answer: -146939*p**2 + 6*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -185, -304, -459, -644, -853, -1080?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)\/(sqrt(21)\/sqrt(3)))\/(1*sqrt(405)))**2 + 0)*4.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - -8) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 9, -3\/4, 13\/5, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 27. Let h be u(11). Let s = 33 + -6. Calculate the remainder when s is divided by (3\/h)\/(2\/(-28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ee908 - -76?\nAnswer: 5ee97e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32\/(-16) - (-448)\/(-1 - -5) is divided by 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 6*q - 620. Are 94 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-4 - (-255)\/(-15)*1))\/(-22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m - 5. Let b be g(0). Suppose 24*y = -14*y - 646. Put b, -1, y, -4 in increasing order.\nAnswer: y, b, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12726299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/28)*a**(-16)*a*a*a*(a\/(a*a**(1\/3)\/a))**(6\/11) assuming a is positive.\nAnswer: a**(-3881\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004046 rounded to seven dps?\nAnswer: 0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1489 + -5 + 11 + -7. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 699 + -672 - ((-6 - -1) + (-3 - (-12 + 5))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522554 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 2 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**3 - 110*z**2 - 21*z - 27. Is t(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1915209 microseconds?\nAnswer: 0.00000000005320025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 196057 (b) 7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 45 = 18*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 7 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 8. Suppose -3*i + g - 8 = 0. What is the common denominator of -29\/16 and i\/3*86\/(-24)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**3 + 0*c + 24*c**2 + 7\/24*c**4 + 0. Let s(d) = 6*d**2. What is u(s(g))?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 * -0.22.\nAnswer: -3.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -474786*k**3*t + 157*k**2*t**2 - 27334*t**2 + 3312*t wrt k?\nAnswer: -1424358*k**2*t + 314*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41298 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: Expand (q - 3*q + q)*(1 - 4*q - q**3 - 2 + 0).\nAnswer: q**4 + 4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117.648 and -18.3.\nAnswer: -2152.9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -254, -306, -366, -440, -534, -654, -806?\n\"Answer: -i**3 + 2*i**2 - 51*i - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*w + 27, -w + 28 = 11*u - 10*u + 20 + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -1. Let q = 7.6 + 3.4. Let p = -12 + q. Which is the smallest value? (a) 1\/6 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -3150?\nAnswer: 314d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/1016673 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/p**(-1\/3)))\/p)**28\/(p**(-1))**(-19))**(-7) assuming p is positive.\nAnswer: p**(1771\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*l**2*t**3 - 4*l**2*t**2 + 2*l**2*t + 201*l**2 wrt t?\nAnswer: -342*l**2*t - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 0, 5, 18476, -5 in decreasing order.\nAnswer: 18476, 14, 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2033, 71\/2, 28, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2675479 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -1. Let a be ((-3)\/(-3))\/s*0. Suppose 4*i + 0*i + 12 = a. Is -3 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x + 18. Let f be b(6). Let o = 100 + f. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 72\/15)*-1. Which is the nearest to -1? (a) -1 (b) o (c) 11 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4330 + -2711. Let u = a + -832. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooo when four letters picked without replacement from {j: 1, o: 7, u: 6}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 0.1. Let i = -0.4 - -0.1. Let l = i + 0.1. What is the nearest to l in 0.1, -3, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 4717271?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064171 to 7 decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((1\/(-2))\/(3\/(-6))). Is -3\/52 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2602 (base 9) to base 11\nAnswer: -150a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*a + 91234 = -819, -3*h - 5*a = -138089. What is the highest common divisor of 148 and h?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/20 - 5*h**4\/6 + 7*h**3\/6 - 5*h**2\/2 - 135*h. Let i be b(-11). Solve -34*f = -i*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 625096.999944 + -625088. Let p = 9 - 0. Let h = a - p. What is h rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 8. Let n be j(8). Let m = -12 - n. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64671?\nAnswer: 3, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 335, 1203, 2907, 5729, 9951?\nAnswer: 15855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.028 - 0.028. Let q = g - 20. What is the second smallest value in -0.4, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-54))\/(5\/(-15)*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1603296260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 7058.\nAnswer: 49406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*-1 + -1 - 2. Let s(n) = 2*n**2 + 6*n + 3. Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((270\/(-24))\/15)\/((-11)\/(-88)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 2*b. Suppose -3 = -y + 3*v, 0*y = -b*y + 3*v - 33. What are the prime factors of (-6)\/y - 7\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252773.\nAnswer: 17, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**2 - 6*g**2 - 4*g**2 as x + v*g + d*g**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -18 - 6. Suppose d*m - 30 = m. What is the least common multiple of m and 5 + 0 - (-1 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217)\/(-21)*780\/260?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/6)\/t)**(2\/65)\/(t**21)**(-3\/10))**(-28) assuming t is positive.\nAnswer: t**(-34202\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323531 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/35)\/((-2)\/50*-1). Solve -d*i - 18 = -34*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/621 - -1256\/4347. Which is the biggest value? (a) h (b) -1 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86474142 to the nearest integer?\nAnswer: 9299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.53 (c) -8.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2) - (-6)\/(4788\/2470)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 0, 32, 1 in descending order.\nAnswer: 32, 8, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*v - 154460 = 8*r, -r - 77240 = 4*v. What is r rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4108 - -6965. Calculate the remainder when b is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1157 and 300108?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -75.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*3*-38 + (151 - 161)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -19. Let c be (3 + (-24)\/1)*u. Round c to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + o + 0*o + 6*o**3 + 2*o**4 + 3 - 4*o**4 to the form r*o + q*o**4 + x*o**3 + v*o**2 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose 10 = j - s, -2 = j + a*j + 5*s. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-6))\/((-21)\/(-18)). Suppose -2*u - 146 = 5*i + 79, d*i = u + 108. Which is smaller: 1\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4729640\nAnswer: 1\/2364820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, 0.0229, 4 in ascending order.\nAnswer: -7, 0.0229, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 21 (c) 0.1 (d) 118.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 10. Let w = 4 - 6. Let k(l) = -l. Let u(g) = g + 1. Let x(p) = w*k(p) - u(p). Let c(y) = 2*y - 2. Give h*x(f) + 4*c(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**2*g**3 - a**2 - 253*a*g**4 - 2*a*g**2 - 5*a wrt g.\nAnswer: 36*a**2 - 6072*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.85 - 0.15. Suppose m + 1 = 2*x - 6, 5*m + 5*x = -20. What is the nearest to 1\/3 in m, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -3\/17, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + 2*f - 1. Let c be s(3). Suppose 4*v = b + 58 - 233, -b + c = 3*v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 4 (c) 9\/4 (d) -1\/6 (e) -712\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + a + 425, -58*p = -53*p + 3*a - 713. Calculate the remainder when 160 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 24\/(-4))\/((-51)\/442*-26). Factor 4 + 2\/3*u**3 - 10\/3*u - 4\/3*u**s.\nAnswer: 2*(u - 3)*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**(-1\/14)))*(s*s\/s**(-1\/2)*s)\/s assuming s is positive.\nAnswer: s**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5485 + 6637. What is the smallest common multiple of d and 96?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/4))**12*z**(-3\/5)\/(z*(z*z\/(z\/z**(-5\/3)))\/z))\/((z\/(z*z*z\/(z\/(z\/(z**2*z)))))**3\/(z**(2\/3)*z**5)) assuming z is positive.\nAnswer: z**(266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = -232*t + 372 - 1713 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1825112.939 - -1826611. Let w = -1497 + u. Round w to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 2*p + 4*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/59708 and 91\/26818.\nAnswer: 3164524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16985 divided by 43\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -16\/7, 5\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 10 = -6*t, p - 891 = -5*t - 904 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = j + 5*w, 372 = -2*j - 2*j + 4*w. Let g = -11 - j. Let p = g - 50. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47695?\nAnswer: 5, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3970*l**2*x**6 + 254*l**2*x**3 + 19*l**2*x + 2*l**2 - 10795*x**2 wrt x.\nAnswer: -476400*l**2*x**3 + 1524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/((-24)\/(-160)). Let p(d) = d**3 + 15*d**2 + 23*d + 3. List the prime factors of p(c).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 2199*i**4 - 104949*i**3 - 1720689*i**2 - 9474576*i = 0. What is i?\nAnswer: -683, -17, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562*j**5 - 41*j - 59*j + 79*j - 40 + 542*j**5 wrt j?\nAnswer: 22080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 - 2*r - 8. Let a be q(-5). Let u(f) = -f. What is u(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 47, 41, 15, -37, -121?\n\"Answer: -t**3 - t**2 + 18*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/13 (b) 3981\/4 (c) -2\/3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450815 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2962344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, 1 d, and 1 q when four letters picked without replacement from lqqiqipipipipd?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i*i\/i**(-3\/4))\/(i*(i**(-1\/2)*i)\/i*i**(2\/3))*((i\/((i*(i*i**(-6))\/i*i*i*i)\/i)*i)\/(i**(-2\/3)\/i))\/(i**(-2)*i**2) assuming i is positive.\nAnswer: i**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15485802 - 2*n**2 + 15485802 + 13*n**3 + 2*n**2.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 41*o + 412. Let v be n(-10). Let s(f) be the second derivative of f + 1\/2*f**3 + 0 - 1\/2*f**v. Give s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-6)\/(-60)). Suppose 6*a + 35 = n + 2*a, -5*a - 162 = -i*n. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.947*-133\nAnswer: 1588.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from gggggegygeeegyyg?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 263860903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*v + 53*v**2 + 31*v**2 - 83*v**2 - v**4 to z + b*v**3 + q*v**2 + c*v**4 + t*v and give t.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 12. Let y(p) be the first derivative of -p**2 - 2*p - 144. Determine y(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42998177 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/2520 + 3*u**4\/8 - 31*u**2. Let w(y) be the second derivative of q(y). Let b(m) = -2*m. Calculate b(w(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*q**2 + 3*f**3*q - 3*f**3 - 1242*f**2*q**2 + f**2*q + 33*f*q wrt q.\nAnswer: -8*f**3 - 2484*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(2*sqrt(95)\/sqrt(5)*-4*1 + (sqrt(152)\/(sqrt(8) + sqrt(24)\/sqrt(3)) + sqrt(57)\/sqrt(3) + 5)*-2))**2.\nAnswer: -59975 - 5500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/14)\/9*(-20)\/30.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101444 + -56887. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12295?\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -51) + (-69)\/(-3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12333910 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - 29. Let b = w - -46. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41275000 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1302, -1377, -1450, -1515, -1566, -1597, -1602?\n\"Answer: w**3 - 5*w**2 - 67*w - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000368 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g + 363. Let w(u) = u**3 + 4*u**2 - 6*u - 4. Calculate the lowest common multiple of w(-5) and y(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14553 divided by 94\nAnswer: 14553\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*j - 2 + 90*j**2 - 89*j**2 + 1 - 12*j**3 as t*j**3 + y*j + d*j**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42230 (base 5) to base 10.\nAnswer: -2815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159323.531 rounded to the nearest 100?\nAnswer: -159300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 6014976.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3321*q**6 - 27*q**2 + 8*q.\nAnswer: 398520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5776, 41597, 137536, 323653, 630008?\n\"Answer: 5010*k**3 - k**2 + 754*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 13*c**2 - 15*c - 50. What is v(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 51*u + 6*u)*(104*u - 395*u - 546*u) as h + g*u**2 + m*u and give g.\nAnswer: -51057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Suppose -c*m + 31 + 1 = 3*h, 4*m = 3*h + 4. Calculate the remainder when m is divided by (-952)\/(-280) - (-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 329\/141*(-2967)\/161.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - -4 - (239 + -237)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwywwwwywwwwyyw. What is prob of picking 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 33*f + 589. Let y be w(11). Which is the nearest to 1\/3? (a) -1\/7 (b) -6 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 13*m - 26. Let n be s(2). Calculate the common denominator of (2\/n)\/((-253)\/(-1748)) and -79\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0. Let k = -232.874 + -0.126. Let z = 232 + k. Which is the closest to -1\/3? (a) f (b) 9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 782 + 2689. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160.2 - -133. What is c rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14824 = 23*r + 13191 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -125 + 61?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*v = -331*v - 6006 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**2 + 3*q**2 + 0 + 2 to the form a*q**2 + p + x*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = 3*n. What is the common denominator of -29\/4 and (1\/(-6))\/(n\/38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 + 4*h**2 + 2*h. Let g(a) = -4*a**3 - 3*a**2 - a. Calculate -8*g(z) - 5*j(z).\nAnswer: 2*z**3 + 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 5*g = 168. Suppose -g = -12*m + 36. Solve 5*s - 2*x - 2 = 0, 2*x + m = -2*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -5930ea?\nAnswer: -5930dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*q - 228920, -56*x + 60*x = 5*q + 457849. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7950)\/(2 + 316\/(-160)). What is p rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 10 - 18*y + 4 in the form i*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -37.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0 + 1\/480*p**6 + 0*p - 1\/80*p**5 + 0*p**3 + 0*p**4 + 24*p**2. Factor k(w).\nAnswer: w**2*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272921 + -18558697\/68. Find the common denominator of (-45)\/(-64) - (2 - 2) and m.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 10*n**2 + 11*n + 6. Is 6 a factor of x(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 2997, 0, 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 7:42 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**9\/60480 + a**6\/120 + a**5\/10 - 4*a**2. Let w(k) be the third derivative of b(k). What is the derivative of w(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 538, 2, -1, -602, 0 in decreasing order.\nAnswer: 538, 4, 2, 1, 0, -1, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 159? (a) 5 (b) 215 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let c(t) = 10*t**3 + t**2 + t - 1. Let n be c(x). Suppose -10*i = -5*i - n. Solve 2*r + 2 = 3*z + 3, 2*r = -3*z - i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115695949654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 38. Solve -o*q - 2*l = -33 + 3, 2*q - 18 = -2*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 1. Let x(b) = -2*b - 9. Determine x(g(a)).\nAnswer: 6*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 19*q = 328. What is the remainder when q is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815 divided by 7.\nAnswer: 1815\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -73775 (base 11) in base 8?\nAnswer: -321621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 4 + 4 - 2*z + 4*z - z - 3 + z + 3 + (-4*z - 2*z + 5*z)*(-3 - 1 + 2))*(-171*z - 8*z - 24*z) as s*z**2 + i + o*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*(704\/110)\/8. Let f = 5.7 - 6. What is the closest to -0.1 in f, n, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*f + 4*g, 4*g = 3*f + 3 - 26. Suppose -2*m + 9 = -f. Solve d + 2*d = 2*v - 8, -3*d = m*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 13090?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 2.5. Let l = -2473 - -2476. What is the third biggest value in f, 3\/5, l, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14616, 1\/4, -1, 1\/6, 3, -24.\nAnswer: -24, -1, 1\/6, 1\/4, 3, 14616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.19 * 3\nAnswer: 6.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -4. Let y = o + 1.3. Let g = -3 - y. What is the third biggest value in g, -1, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4972\/10)\/((-149468)\/(-33970)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 15\/(-12))*-8. Let f be 10\/2 + 3 + -3. Suppose f*x - i*x = 12. Put 2, x, 0 in increasing order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2286 divided by -3.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2 - (-2)\/(-5)) + 125\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1392, -2\/5 in descending order.\nAnswer: 3, -2\/5, -1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5*c - 9. Let s be i(7). Suppose -10 + 0 = -s*u. Suppose -10 = -3*g + u*g + 4*d, 3*g = -d + 17. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 684*r*z**3 - r*z**2 - 150*r + 1 wrt z.\nAnswer: 4104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599328.4ml in litres?\nAnswer: 599.3284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4355, -14703, -31949, -56093?\n\"Answer: -3449*k**2 - k - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = 2*q + x, q + 0*q = -2*x + 323. Let b = -161\/2 + 553\/8. Find the common denominator of q\/52 - 2\/(-13) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180924 by -301.\nAnswer: -180924\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/44 and (-16)\/(-1408)*(-1 + -192 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 1362710?\nAnswer: 13627.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = -63. Suppose 39 = 3*b - 0. What is the remainder when g is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -60, -56, -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-6)*(-25888)\/(-12). Let l be 10\/55 - h\/11. Let o = -154 - l. What is the greatest common divisor of 28 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537.\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 3*a + 4. Let w(h) = -6*h**2 + 4*h + 5. Let m be (4 - 0)*9\/12. Let o(n) = m*w(n) - 4*d(n). Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 33 = -79 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341506 and 629907.\nAnswer: 263301126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57737 (base 11) to base 13.\nAnswer: 2bc71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 11a9?\nAnswer: 11b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1\/3, -541, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85)*1 + sqrt(85))*3 - 2*sqrt(85)*1)\/((sqrt(5) + sqrt(20) + sqrt(5) - sqrt(5))*-1*3) + -1)**2*4.\nAnswer: 56*sqrt(17)\/9 + 3656\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-567)\/(-162) - (-18)\/(-6)*(-1)\/(-6). Let l = -3\/8 - -5\/8. Which is the nearest to l? (a) -4 (b) -7\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -6*i - 4*b, 0 = 2*i - 3*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104096.9304 - 2.\nAnswer: -104098.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 - 2*r**4 + (-r**2 + 2*r**2 - 5*r**2)*(3 - 3 + r**2) - 4*r**3 + r**4 + 4*r**3.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 + w + 3. Let s = 3 - -3. Suppose 4*m - 3*g + 4 = 0, m - 5*g = 6*m - 30. Suppose -s*h + m*h = 12. Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 5*y. Let a(p) = 1 + 142875*p + 2 - 142889*p - 3. Calculate b(a(h)).\nAnswer: -392*h**2 + 70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -602338838, -602338836, -602338834, -602338832?\n\"Answer: 2*b - 602338840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 39\/2*j**2 - 7\/16*j**4 + 45\/2*j**3 - 2*j + 10. Find m, given that t(m) = 0.\nAnswer: -2\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 3643495 in decreasing order.\nAnswer: 3643495, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406*j**3*q**2 + j**3*q + 40*j**2 + 36*j*q + 3*q**4 wrt q?\nAnswer: 812*j**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:46 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(350)*-2 + sqrt(350) - sqrt(14)) + sqrt(14))\/(sqrt(36)\/sqrt(2)).\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128 + 37 + 42 + 48 - 138*o**2 to t*o + u + a*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7975232 divided by -8\nAnswer: 996904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280.7 - 280.7. What is the third biggest value in 1, 565, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 13*u + 1. Let v(b) = 4*b**2 + 19*b - 1. Let k(q) = 7*n(q) + 5*v(q). Suppose 1 = -g, -3*g = -f - 6*g. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9191 + -1149. Is 96 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2 - -3)*5. Suppose 0 = -4*a + 4*u + 20, a - u + x = -5*u. Solve -3*m - 9 - 3 = -a*j, -10 = -2*j + 3*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/830919 or 1?\nAnswer: 16\/830919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n + 898. Let c(w) = 8*w**2. What is c(p(j))?\nAnswer: 2048*j**2 + 229888*j + 6451232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -34*a + 17. Let b(s) = -11*s + 6. Let g(t) = -11*b(t) + 4*h(t). Suppose -p + 12 = -4*p. Let i be g(p). Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -2 (c) 16 (d) -13\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 6\/18*0. Let o(a) = 22*a**3 - 5*a**2 + 5*a + 2. Is 11 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 * 25.07\nAnswer: -1078.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3)*(-14)\/(-4). Let l = y + -33. Let c = l - -95. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2243828.7 and -0.439?\nAnswer: 2243829.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 3:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -9.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 4*h + 41 - 5, 5*h - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 5, 31, 109, 263, 517?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -828 - 583 + 1193 + 5*x to the form l + k*x and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: d73 (base 16) to base 8\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 + 1. Determine l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-1 + -15 + 37)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19542 or 19550?\nAnswer: 19542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2180\/(-140) + (-4)\/(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-27) + 4\/(-6). Suppose a = -15*l + 1469 + 61. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/36)\/(2\/(-72))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609790492 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. Solve -4*x + 1 = 5*i, 4*x - 3*x = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31683 divided by -6?\nAnswer: -10561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*q + 2*k - 12, 34 = -5*q - 3*k. Which is the closest to -0.4? (a) 0 (b) q (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/539*275\/(-50)*(-84)\/54.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/2 + 126*f**3 + 64935*f**2\/2 = 0. Calculate f.\nAnswer: -111, 0, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.5. Suppose 0 = -s - 3*y + 5*y - 11, 4*s + 2*y + 4 = 0. Put s, u, -0.5 in descending order.\nAnswer: u, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12797 + 12797.00000021148. Round n to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -734*n + 7. Let u(h) = 367*h - 4. What is -7*u(i) - 4*x(i)?\nAnswer: 367*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let t(q) = 4*q + 5. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 12 = -5*a. What is the remainder when 65 is divided by a\/24*(-2 + 94)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*a - 3 = 127*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*y - 2 - 10 = 0, y + 3 = -3*j. Suppose j*v - 7*v + 280 = 0. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*sqrt(84)*1 - sqrt(84)) + (sqrt(84) - (sqrt(84) + sqrt(84)*-2)*2) + sqrt(84))\/(-1*sqrt(1008)*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g = -46*g + 8, 3*g + 16470 = 3*l. Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 488 and 2.5?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kffkkfkkfkffkkffkffk. Give prob of sequence ff.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0297798981 to four dps.\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {r: 2, z: 1, x: 1, n: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + -28. Let z = -38 - d. Suppose -2*g - z*a = 4, 3 = -a + 1. Solve 5 = 5*h + 5*o, 0*o - o = g*h - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*r - 3*f + 8, -f = r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 11757\/16 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:31 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106.143 + 0.143. Let d = z - -91.6. Let q = d + 14. What is the closest to 0 in -0.5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72495 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1225 divide 1671185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - (104 + -47)) + (1 - (-10 + -1)) - -107.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - 3\/(-4). Let y be (-2 - -2 - 10\/60)*1. Is l less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -70*v - 2. Let d(k) be the third derivative of k**4\/12 - 385*k**2. Determine p(d(i)).\nAnswer: -140*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222 and 80028384.\nAnswer: 2961050208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5135846.000163 + 5135840. Let r = -0.1 - 5.9. Let q = r - u. What is q rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 109*t**4\/4 + 121*t**2\/2 + 203. Find the second derivative of y(l) wrt l.\nAnswer: 654*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 83 + 108 = 0. Solve q*d - 21 = -y, -3*y - 5*d + 9*d - 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 535 + 30333?\nAnswer: 31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -80?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1084 and 4333\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 44 = -2*s + 7*w - 22*w, 0*s + 2*s = 5*w for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 13}. What is prob of picking 2 x and 2 p?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - 2*c**2 - 1 + 6 + 5*c + 2*c**3. Let y(l) = -l**3 + 2*l**2 - 4*l - 4. Let r(i) = 4*g(i) + 5*y(i). What is the third derivative of r(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/196*(-1358)\/(-194)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325711.\nAnswer: 37, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-1)\/((-4)\/16). Suppose -29 + 37 = v. Calculate the highest common factor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 + 32*g**2 + g + 2. Let d(n) = -n**3 + n**2. Give -c(v) + 3*d(v).\nAnswer: v**3 - 29*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 7)\/((-1)\/(-2)). Let u be (i - 0) + 1*-3. Let l be (u\/5)\/(-2 + 1). Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1\/(3\/42) + 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0413541 - 21.0415441. Let d = 21 + a. Round d to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/7*(-2)\/4*105\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 42 = 70. Suppose -b*r = -49 - 47. What is the highest common divisor of 12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.3. Let r = -0.1 - k. Let b = -12.6 - -11.6. What is the second smallest value in 0.3, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(245) + sqrt(625)\/sqrt(5) - (sqrt(5) - (3 + (sqrt(5) - sqrt(80) - sqrt(5))) - sqrt(10)\/(sqrt(6)\/sqrt(3))))*-4)**2.\nAnswer: 4128*sqrt(5) + 148064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 28. Determine b(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Suppose k - 2 + 16 = -2*z, 0 = -4*z + 3*k - 8. Let d(u) = -2*u. Let i(q) = z*d(q) - 2*s(q). Let h be i(0). Solve h = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -8*w + 2*w + 48, 39 - 35 = -r for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5 - 1104*w**4 - 15636*w**3 + 8312*w**2 + 539520*w + 1302912 = 0.\nAnswer: -261, -13, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o. Suppose 4*d = -o*d + 24. Let x(v) = -4*v - 5. Let g be x(-4). Solve 0 = c - z + d*z + g, 3*z = c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*q - 1 = -11, -q = 5*i - 95. Solve -5*o = -3*o - 8, -5*o = 3*p - i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*t**3 - 1058*t**3 + 530*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:30 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*z**3 + 2*z**2 + 115*z**3 - 66*z**3.\nAnswer: -2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from fpppfpfppppp?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*c - 122*c + 2938 = 12*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t - 4. Let q(s) be the third derivative of -2*s**4\/3 + 7*s**3\/6 - 18*s**2. Give 5*f(i) + 3*q(i).\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:21 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1 - 3 - 2*h - 13. Is w(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + 595\/(-1925)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-5) - (-312)\/(-195). Let q = -13 + 12.6. Which is the nearest to 2.1? (a) q (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 - 359. Suppose 0*q + 3*q + 12 = 0. Determine w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - v. Let g be s(-2). Suppose 5*k = 55 - 15. Calculate the remainder when 984\/33 + 4\/g is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - 0.13?\nAnswer: 81.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/489 and 43\/281664.\nAnswer: 281664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 117 = 2*m, 10*q - 102 = 7*q - 3*m. Calculate the remainder when 72 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908 and 892337?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-8)*2\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2. Let a(z) be the second derivative of 25*z**3\/6 + z - 4. What is a(y(i))?\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/17 + 39082*w\/17 - 5114460\/17 = 0.\nAnswer: -19671, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/77321 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4823, 5898, 7689, 10196, 13419, 17358?\nAnswer: 22013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 92 = 0. Let j be q\/(-8) - (-1)\/(-4). What is the tens digit of 1 + (j\/15 - 332\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 143*r + 2. Let a(x) = -x**2 + 35*x + 1. Let z(d) = -4*a(d) + p(d). What is z(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*b**2 + 2*b + 488*b**2 + 515*b**2 - 2*b - 1506*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(2\/7)*x*x*x))\/x)\/x)**8 assuming x is positive.\nAnswer: x**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -821765 divided by -7.\nAnswer: 117395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**2 + 19. Let q(y) be the first derivative of y**2 + 2. What is x(q(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-128))\/(22\/(-16))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 667, 9771, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50))\/(-4 + 18\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315937221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 64, 59, 54, 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2150002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5061)\/(-2892))\/((-208)\/288 - 2\/(-9))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 2, q: 2, d: 1, z: 2}. What is prob of sequence yqd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 2*h**4)*(-10 - 14 + 3).\nAnswer: -42*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u + 30 + 9 - 10*u + 26*u. What is the smallest common multiple of 30 and z(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -41. Let q be (-13)\/z - (39\/(-12) - -3). Let l be (-6)\/2 - 234\/(-81). Is l > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 321?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 1309. Suppose 4*a - i = -5*f, 904 = 3*f + 5*a + 129. Let o be (f\/4)\/(2\/(-160)). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + q + 12 = 0, 10 + 2 = -3*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385545 is divided by 128471?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 69. Suppose -5*f - n*q + 41 = -9*q, 2*q = 4*f - 34. Does 20 divide (6\/f)\/((-10)\/(-40)) - -157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -6?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -11*p**5\/60 + 32*p**2. Calculate d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/10)\/(2\/10). Let d(s) be the third derivative of 3*s**2 + 1\/8*s**4 + 1\/6*s**3 + 0 + 0*s. What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4409 (b) 125 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 333?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 45 = -r, -27*r + 9*x - 10*x + 4*x - 159 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/10 + (-2)\/(-4). Suppose -2 = -h*r - r. Suppose -4*y + 0*c = 2*c - 358, y - r*c = 77. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/6*(4 + 57*56\/(-819)). What is the second smallest value in 2\/9, 17, 3, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/1132 - 3046\/1415. Let w be (-10)\/(-8)*2606\/(-4). Let f = -821 - w. Find the common denominator of f and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480751.\nAnswer: 17, 87103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45275618 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/2883 and -85\/276.\nAnswer: 265236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 4. Let u be y(0). Let h(n) = n - 2. What is the smallest common multiple of h(u) and (-160)\/24*6\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38630 (base 10) to base 2.\nAnswer: -1001011011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5 = f, -248*f - 5*r = -245*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*g - 246*g - 817 = 0. What is the remainder when g is divided by 3 + 14 + 1\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3 - 3210*r**2 - 1043139*r - 92607408 = 0 for r.\nAnswer: -463, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + p - 1161 = 0, u = 2*p + 189 + 41. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48\/457 and 704 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -0.216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v - 15 = -63*v + 129*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 8*n - 11*n. What is the smallest common multiple of 24 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:35 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*w = -54, -76 + 15 = -3*d - w. Let q = 105 + d. Suppose 6*f = q + 5. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-184)\/(-12))\/(((-20)\/6)\/5). Suppose 3*x - x - 4 = 0. Let n = x - r. Solve -2*p - n = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23 - 23)*2\/8. Suppose n = -5*z + 19 - 9. Solve -c = 5*k + 23, -3*c = -k + z*k - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4423560 (base 7) in base 4?\nAnswer: 2010303012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 - u**2 + 4*u + 8. Is t(-2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1433\/12 + -603\/4. Let r = q - -31. Let d = 118\/87 + -20\/29. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 138686169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 - m**4\/3 + m**3\/6 + 3*m. Let y be h(4). Solve i = -3 + y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/13 (c) 4\/7 (d) -1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(15\/4))\/c)\/(c*((c**(-23)*c)\/c)\/c))\/(c*(c\/(c**(-1\/15)\/c*c))\/c)**(3\/16) assuming c is positive.\nAnswer: c**(381\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361065 is divided by 3099?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 6670*c**2 - 1073*c + 323*c + 3*c**3 + 3*c**3 + 6545*c**2.\nAnswer: 5*c*(c - 30)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/6*(-9)\/5. Let q(c) = -c**3 + 5*c**2 + 7*c - 3. Let y be q(i). Suppose -67 = -4*w - s, -y*s = -5*w - 2*s + 95. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 232\/1*10\/20. What is the third derivative of -116*w**4 + 17*w - 2*w**2 + 139*w**5 + 6*w**2 - 2*w**2 + s*w**4 wrt w?\nAnswer: 8340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 g, and 1 w when four letters picked without replacement from {g: 2, w: 3, t: 12}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2484 and 276.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. Suppose -k*c = -65 - 11. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 21, 5, -33, -99, -199?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-2 - -2) + -1. Let w(j) = 2*j - 2. Let f(q) = -q + 1. Let x(m) = 13*f(m) + 6*w(m). Let p(h) = 4*h - 8. Give s*x(u) + p(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 178790 rounded to the nearest one thousand?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/15470 and 101\/6324.\nAnswer: 2877420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f**2 - 3*f**2 + 8*f**2 to s*f + l + n*f**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkklkikkkkkkkkili. Give prob of picking 3 k.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*r - 973*r - 986*r + 2979*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -22. Let y = 10.8 + x. Sort 7, y, 0 in increasing order.\nAnswer: y, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q + 5. Let j be v(12). Let a = -54 - j. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781952350 to the nearest integer?\nAnswer: 27963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.4, 0.06, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 4. Let x = 8 + -4. What are the prime factors of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = 5*l, 5*l + 7*r - 5*r = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 65*n**2 + 58*n + 1605. What is the ten thousands digit of p(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(5\/9)\/((f\/(f\/(f\/((f**(2\/5)\/f)\/f)*f)*f))\/f*f**(4\/5))*((f*(f*f\/(f*f*f**8*f*f*f))\/f)\/(f\/(f\/f**(-6\/7))*f))**(-5\/3) assuming f is positive.\nAnswer: f**(4919\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22799*y + 33202*y + 33501*y + 7536*y + (2 - 6 + 3)*(3*y - 2*y + y) - y - 2*y + 2*y + y + 5*y - 5*y - 6*y + 3*y + y to j + l*y and give l.\nAnswer: 51436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671249583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692*o - 3 + 687*o - 1467*o.\nAnswer: -88*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -94.17. Let n = f - -1.2. Let l = 0.13 - n. What is the second smallest value in 4, -4\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/15, 1, -5, -8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:03 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 565213.9 centimeters?\nAnswer: 5652139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8787*i - 15449*i + 901*i + 2891*i to the form h + p*i and give p.\nAnswer: -20444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2. Let t(m) = -4*m**2 - 9. Let c(j) = -j**3 + 8*j**2 + j - 8. Let a be c(8). Let v = 18 - a. Let d = -8 - -12. What is d*t(p) + v*w(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*f - 8, -15*z + 13*z - 5*f - 27 = 0. Let g = -25 - -25.5. What is the closest to g in z, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 + 1381?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-3)\/(-10)*(-2)\/(-213). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -295, -496, -699?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(3\/(-12))*(-6404)\/(-102464)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 177892102 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 = 2*x, -3*x + x - 2*q = -14. Suppose -3*n - 2*n - 4*f = 17, 2*f + 1 = -n. Let i = 10 + n. Solve -x*m - 40 = 5*v, i*v - 2*m - 2 = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 48*q + 273 = 53*q, 3 = q. Let k(r) = 13*r + 6. Let o be k(-6). Let g = o + u. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/4)*h*h)**18)**(5\/8)*((h\/(h*(h**4*h)\/h))**(-36))**18 assuming h is positive.\nAnswer: h**(41967\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -5) + (8 - (0 + 2)). Solve -a*x = -9*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 132*x - 18. Let m(p) = p - 1. Calculate -18*m(o) + v(o).\nAnswer: 114*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/27 - ((-370)\/45 + 4). Solve -3*h = -b*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + h - 3. Calculate b(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0199 and 0.4851?\nAnswer: 0.00965349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 5*o**2 + 2*o**4 + 2*o**2 + o - 6*o**4 - 2*o**4 + 3*o**4 + (-4*o**2 - 2*o**2 + 4*o**2)*(3*o**2 + o**2 - 2*o**2) - 3*o**3 - 3*o**4 + 3*o**3.\nAnswer: -10*o**4 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 40 = -31. Suppose 234 - 9 = r*l. Suppose -l = -5*t - v, -31 = -t - v + 4*v. Solve m - t = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 - 120 = 2*g. Suppose -2*z + g = 2. Suppose -14*s = -2*s + 60. What is the smallest value in s, z, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-180)*-2)\/(-1). Let d = 0.3 + 3.7. Let u = 6 - d. What is the nearest to 1 in -5, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.226 + -0.126. What is the second biggest value in u, 9, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.253 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.8 - -18.8. Let u(v) = 13*v - 74. Let w be u(4). Which is the biggest value? (a) k (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from ddhcobh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*x - 8 - 8, k - 2*x = 7. Suppose 3*g + 18 = 374*q - 377*q, 0 = -q - 6. Put k, 5, g in ascending order.\nAnswer: g, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:13 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a - 2*a**3 + 5*a**2 - 7\/24*a**4 + 0. Is q(-5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.5 + 9.42. Let q = b + 10. Let d = q + -2.92. What is the nearest to -0.1 in 0.5, d, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 times -0.1?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*(-40)\/(-12). Factor 2*s**3 - 3*s + s - s**4 - 2 - 2 + f.\nAnswer: -(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 0.8 (c) -2\/13 (d) -1 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 78*w + 148.\nAnswer: 2*(w + 2)*(w + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45777.86 millilitres in litres?\nAnswer: 45.77786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129935.335 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271*c**3*k**2 + c*k**3 + 32*k**3 wrt c?\nAnswer: -813*c**2*k**2 + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872)*-2 - sqrt(1872)) + sqrt(1872) + sqrt(1872) + 1 + -4*(sqrt(1872) + -1 + -2))**2.\nAnswer: -1560*sqrt(13) + 46969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, 5, -1 in decreasing order.\nAnswer: 173, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 38*l + 179 + 190 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7ac124 (base 13) to base 11\nAnswer: 1709278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0 - -4)*3. Suppose 0 = -8*j + k*j + 145. Find the third derivative of -j*r**6 + 25*r**2 + 5744*r - 5744*r wrt r.\nAnswer: -3480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-18))\/(250\/225))\/(-18 - -19)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times -1500?\nAnswer: -66000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 3*o + 1, 5*n - 10 = -5*o. Solve 0 = -o*u + 3*b - 21, 3*u = 4*u - 2*b + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162 or -32059?\nAnswer: -32059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*h + 8*h + 12*h + (4 - 3 - 2)*(-2 + 2 + 2*h).\nAnswer: -204*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*d = 5*q - 26, 0 = -2*d + 6. Suppose -z + b = -7 - 2, -q*b - 25 = 0. Suppose 0*l + 236 = z*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znn when three letters picked without replacement from bbbzzbnbznnn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -4, -6.3 in descending order.\nAnswer: 2, -2\/5, -4, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 65*k - 3. What is the hundreds digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, s: 2, u: 1, p: 1, d: 1}. What is prob of sequence spd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-p - 2*p**4 + p) + 2*p**4 + 4*p**4 + 15*p**4.\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*r = 40, -4*j + 3 = -3*j + r. Suppose 0 = -4*v + 20, -5*p + 3*p + 15 = 3*v. Suppose p*h = h - 6. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1798 and 106981?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*i + 82*i**2 + 0*i + 5 - 3 - 100*i**2 to z*i + y + p*i**2 and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40837986 and 648?\nAnswer: 490055832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1539 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1441 + 1.2231. Let g = -0.149 + h. Let p = 0.93000041 - g. What is p rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -52. Suppose -12 = -3*f + 3*h, 0*f + f = -t*h - 20. Solve 2 = 2*l, -3*w - 2*l + 5*l + 12 = f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219625064 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2\/3 (c) 8203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/4 - 2103*z**2\/4 - 387717*z\/4 - 6628017\/4 = 0. Calculate z.\nAnswer: -341, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5\/4 (b) -21 (c) -1 (d) -0.2 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 345 = -59 - 212. What is the smallest common multiple of u and 1176?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-100)\/60)\/((-10)\/12). Solve -3*g + 0*g - 2*z = r, -g - 4*z - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - 5*k**3\/6 + 5*k**2\/2 - 22*k. Calculate l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*g**3 - 2739*g**3 - 1648*g**3.\nAnswer: -5348*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)*r\/r**(-5\/6)*r**(-1\/4)\/(r**5*r*r) assuming r is positive.\nAnswer: r**(-313\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 16. Let l be 3\/(6\/16) + 0. Let o be y(l). Suppose a + o = -2*k, -4 = -2*a + 5*a + k. Solve -t - 3 = -a*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 13\/1236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136808624?\nAnswer: 2, 3, 7, 483337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6470 and -51\/5176.\nAnswer: 25880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 7*p**2 - 10*p + 5. Let a(s) = -s**3 + s**2 + 1. Let o(h) = -2*a(h) - d(h). Let z be o(6). What is the highest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*t = -w - 3, -3*w - 2*t = 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 24*o = 0. Suppose -175 = -o*x - x. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/12)\/((-1)\/(-2)). Find the third derivative of -x - 2*x**j - 4*x**2 + x + 0*x wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1580 and 10238795.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = k + 5*q, 3*k - 4*q - 43 + 24 = -27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -849865\/6 + 140967. Let k = 694 + z. Calculate the common denominator of -29\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1656355 and -0.1?\nAnswer: -165635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**3 - z + 1 + 1 - 8*z**3 to the form k*z**3 + a*z + y*z**2 + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 1. Let t be 40\/(-30)*(-3)\/(-2). Let n(r) = r - 1. What is t*w(y) - n(y)?\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*y**4 + 3*y**2 - 89*y wrt y.\nAnswer: 12552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 7*w**2 + 17*w - 9. Let f be c(-9). Put 1, f, 3 in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 1251 (c) -0.2 (d) 3\/5 (e) -0.03 (f) 0.5 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + d - 20 = 0, -4*d - d = 4*y - 45. Suppose -2*u = -3 + 5. Sort -4, u, y in decreasing order.\nAnswer: y, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7*q + 3 - 9*q + 3*q**3 as f*q + j*q**2 + a*q**3 + g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65134*q*z**3 - 575*q*z**2 - 2*q*z + 940*q + 1457*z**3 + 19*z**2 - 2 wrt z.\nAnswer: -390804*q + 8742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 - 22.4. Let g = r - -13. What is the nearest to -1 in 0.5, g, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1192 - -5962\/5. Put 4, 0.2, y, 0.08 in increasing order.\nAnswer: 0.08, 0.2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*y - 11, 5*l - y = 2*y - 56. Let x be 2\/((-1)\/(-4)*-2) - l. Solve -x*k + 13 - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 17*f - 60. Suppose -f*q = 5*l - 4613 - 2208, 0 = 3*l + 9. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-130)\/(-40) - 94\/8. Is (-18009)\/(-11) + g + (-952)\/(-88) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371367*i**6*n - 5*i**2*n - 2*i**2 + 2*i - 8719*n wrt i.\nAnswer: 44564040*i**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.1 rounded to 0 decimal places?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-4) - 0)*-4. Let n(d) = -9*d + d**2 - 17*d + 23*d - 4. Let v be n(j). Which is the second smallest value? (a) -0.7 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4427304300?\nAnswer: 2, 3, 5, 397, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 4*b**2 + 8*b - 2. Let p(v) = -v + 4. Let j be p(-2). Suppose j*c + 6 = 5*c. What is the units digit of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 15. Let c be x(11). Suppose 3*o + 0 = -3, -q - o = -c. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -133, -186, -239, -292, -345?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -392, -381, -392, -437, -528, -677?\n\"Answer: -2*d**3 + d**2 + 22*d - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 + -21. Let k = 98 - b. Is k a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6934*l - 391. Is x(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70362 and 32651877.\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let h be -2 + 2*l + 1. Let b(m) = m**2 + h - 6 - 2*m**2 + 3*m**2 - 5*m**3. Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7732 + 7713 - 8*t - 23165 + 7720.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6424 take away -3052?\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-15))\/(-4)*(425\/(-210))\/17. What is the third smallest value in a, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4\/5 + 91208*v**3\/5 - 520660356*v**2\/5 + 8313061952*v\/5 - 33228914944\/5 = 0. What is v?\nAnswer: 8, 11393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -126. Let d = -2 - -1.6. Put -0.3, z, d in decreasing order.\nAnswer: z, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0 - 0) + -4 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:43 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttii when four letters picked without replacement from titiitiitiit?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (9 - (-9)\/(-3))\/(8*(-6)\/(-5152)) and 16.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/24 - 19\/46. Sort h, 0, 4 in descending order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*h + 60 = 0, -p + 7*h - 12*h = 107 - 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -12, 21 in increasing order.\nAnswer: -12, -4, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2\/5, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14238 from -0.3.\nAnswer: -0.44238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -8. Suppose -a - 1899995 = s, 20 = u*s - 2*s. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364918 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(-36)\/30. Let y be ((-30)\/(-6))\/(j\/3). Suppose 0*q - 202 = -4*v - 2*q, -4*q - 220 = -y*v. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = 21. Let a be (-1)\/((3\/(-4))\/((-9)\/s)). What is the third derivative of -3*t**5 - 5*t**5 + 22*t**2 - 15*t**2 + 25*t**a wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199205768?\nAnswer: 2, 79, 315199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.97807538 rounded to 0 decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 2*a**2 - 2*a + 1. What is the remainder when j(3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k = -38*k + 54. Let s = -7 + k. Calculate the remainder when 27 is divided by -15*(-2)\/(-12)*-4 + s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 37 = -202*y + 207*y - 18 - 11, 66 = -y - 10*s for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248589 = -6648*n - 787077 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 434, 5, 0.5, -9.7, 3, -1\/5 in increasing order.\nAnswer: -9.7, -5, -1\/5, 0.5, 3, 5, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q - 33. Let k be b(6). Let o = k - 78. Let y be ((-5 + o)\/(-2))\/((-2)\/(-78)). What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6045?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let l = 13 + -7. Suppose -5*t - l = -4*w + 4, 0 = 5*t - 10. Sort x, 4, w in decreasing order.\nAnswer: w, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-1*-4)\/(-1*sqrt(28) + sqrt(7)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r = 2*y - 22, -y + 4*r + 11 = 0. Calculate the greatest common factor of y and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25*j + 252. Give o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 8276648?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4594, 4595, 4596, 4597, 4598, 4599?\nAnswer: 4600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let d(a) = a**2 - a - 4. Let b(o) = -d(o) - 5*q(o). What is b(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 129*v**2 - 4. What are the prime factors of j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t + 141*t + 66 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 times 15.9101?\nAnswer: 2.9274584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -46. Suppose -364 = -t*x + 57*x. Calculate the remainder when x is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4279 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489 + 492. Let i(x) = x**2 - 6*x + 9. Let h be i(z). Solve 9 = 3*r, h*q - 2*r - 2 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000111000 (base 2) to base 3\nAnswer: 11222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/3 + 1393*c\/3 + 116194 = 0.\nAnswer: -1066, -327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 6*f**2 + 2*f + 15. Let d be x(8). Let g = 203 - d. Calculate the greatest common factor of g and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38791, 38792, 38793?\nAnswer: 38794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -i. Let t = -1 - -9. What is the smallest common multiple of t and (-54)\/(-15)*(-5)\/i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16952.\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/6 + 5066*t. Let g(w) = -212*w + 2. Determine j(g(c)).\nAnswer: -89888*c**2 + 1696*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 89 = -37. Calculate the greatest common divisor of q and 1614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50)\/(-10) + (3583 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -836 + 1856. Let u = -7124\/7 + k. Suppose -u*a + 4\/7*a**3 + 6\/7*a**2 - 2\/7*a**4 + 8\/7 = 0. What is a?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = 3*f, -16*f + 11*f = -2*s + 40. What is the highest common divisor of 60 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11 and -5\/15247.\nAnswer: 167717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l - 2*f, -4*f - 16 = 3*l + 2. What is the third smallest value in -0.4, -4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 35*o**2 + 58*o - 2027. Let z be c(35). Let x = 28 + -20. Solve -z*m + 4 = -x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - 35\/(-14). Solve -g + 5 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90191 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/2)*k*k))**(-2\/107)\/((k*k\/k**(-5)*k)\/((k**(1\/10)\/k)\/k)))**(-1\/24) assuming k is positive.\nAnswer: k**(10583\/25680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 10 = -0*h - 2*m, 0 = -4*h + 3*m + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 15483710?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 4.29?\nAnswer: -1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -0.4 (b) -42 (c) -4 (d) -0.3 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5)*q*q**(-6\/5))\/((q*q*q\/(q*q**3))\/q*q\/q**3)*((q*q**7)\/(q**(-1\/3)\/q))\/((q\/q**(-2\/5)*q)\/q)**(2\/57) assuming q is positive.\nAnswer: q**(863\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 - 21 = -29*h. Suppose 20 = -5*c, -c = 3*r - 0*r - 50. Calculate the smallest common multiple of r and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j - 5. Let x be u(4). Which is smaller: 18 or x?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 5 - 13. Sort 0, u, 5.\nAnswer: 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - -0.04. Put 4\/7, -4, a in increasing order.\nAnswer: -4, a, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45345 divided by 911\nAnswer: 45345\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) -4 (d) -1\/36 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-4)\/98 - 1). Let k = 16\/49 - x. Which is the nearest to -0.1? (a) k (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 486, 1962, 4424, 7872, 12306, 17726?\n\"Answer: 493*h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7073*k**2 - 7090*k**2 + 14172*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**3 + 3*p**3 - p**3 + (-3 + 2*p + 3)*(2*p**2 + 0*p**2 - 4*p**2).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 6. Let s be (-2)\/(-3 + (-14)\/(-4)). What is the remainder when -2*(21\/(-2) - -1) is divided by i(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 + 4119 = 12*g. Let k(h) = -h**3 - 6*h**2 + 36*h - 35. What is the smallest common multiple of k(-10) and g?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + n)*(n - n + n**2) + 8*n**3 + 160*n**2 - 367*n**2 + 156*n**2 - n**3 - 5*n**3 + 3*n**3 as c + h*n**2 + l*n**3 + d*n and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:02 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 2*k**5\/15 + 136*k**2. Let j(c) = -4*c. Calculate j(h(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3787 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:44 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444884 (base 11) to base 2.\nAnswer: 10101101001000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 28\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103077 and 295503?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 8 - 10)*156558\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 4 + 3 + z)*((-2 - 1 + 5)*(-3 - 2 + 6) + 935 + 502 + 440) + 4*z - z - 4*z to the form t + m*z and give m.\nAnswer: 3757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 3*c**2 + c - 2. Let b(g) = -2*g + 5. Let a be b(5). Let f = 7 + a. Let l be i(f). Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2197 and 763841.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640341 is divided by 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34142554*d**3 - 7*d**2 - 123653785*d?\nAnswer: 204855324*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**4 - 16*v**5 - 38*v**2 + 339*v - 2*v**5 + 42*v**3 - 339*v. Let z(c) = -c**5 + c**3 - 1. Let x(t) = -w(t) + 8*z(t). Find f, given that x(f) = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44584 divided by 1?\nAnswer: 44584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 299 (b) 42 (c) 0.1 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 17. Let g be a(7). Solve b = g - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:16 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56665527, -113331051, -169996575, -226662099, -283327623?\nAnswer: -339993147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 8, 135 in increasing order.\nAnswer: 3, 8, 11, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 23*o - 288 = -2*o. Calculate the remainder when 622 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-38)\/95 + 4\/10)\/(-2). Suppose 7*v + q*v = 56. Solve -v*p + 13*p - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430964643.\nAnswer: 3, 143654881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10827 is divided by 346.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 20*k - 6. Let j(r) = -3*r**2 - 17*r - 5. Let d(g) = -5*j(g) + 4*x(g). Let p be d(2). Solve p*b - 4*b - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -1, 1, -3.\nAnswer: -58, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2612.581ml?\nAnswer: 2.612581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 3\/(0 + 3). Solve o - 5 = d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1319275278 and 5274?\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -l - 5 + 11, 29 = 5*g - l. Is (g + 12\/(-4))*142\/4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y**2 + 364*y - 100. What is g(-16)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486*s**3 - 15060164 + 15060164.\nAnswer: 1486*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:21 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1*30948)\/6)\/(2 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, -37, 1, 3, -1 in descending order.\nAnswer: 3, 1, -1, -4, -31, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2281 + 749 = 10*w. Suppose -8*m + 17 + w = 0. Suppose 3*n - 4 = 2*n, 3*f = -5*n + 110. Calculate the greatest common factor of m and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71249 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 1057 + 5*a - 3*a - 3*a.\nAnswer: -2*a + 1057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = 0. Suppose -5*h - z + 11 = l, 0*h + 2*h + 4*z + 10 = 0. What is the third derivative of 58*w - h*w**2 + 9*w**5 - 58*w wrt w?\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59833147, 59833151, 59833157, 59833165, 59833175, 59833187?\n\"Answer: j**2 + j + 59833145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 52740?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3 - 1. Let a be (8\/(-16))\/(y\/8). Suppose -3*m = -a*t - 141, -t + 9 = 2*t. What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108813*t - 108798*t + 0*t**3 - 9*t**3 + 9*t**3 - 3*t**3 + 217611*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/3*s**6 + 78*s**2 - 13\/15*s**5 + 0*s + 4*s**3 - 17\/6*s**4 + 0. Factor w(z).\nAnswer: 4*(z - 2)*(z + 1)*(10*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -2 - 0) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030649841 rounded to 7 decimal places?\nAnswer: 0.0003065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbxlbxl.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 5. What is i(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-4)\/(0 - 2). Suppose c - 2 = 2*n. Which is smaller: 2\/33 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -83*z + 97. Suppose -10*w + 24*w - 154 = 0. Let s(a) = 413*a - 485. Let y(i) = w*j(i) + 2*s(i). Differentiate y(g) with respect to g.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046517 rounded to four dps?\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82353, -164724, -247091, -329454, -411813?\n\"Answer: 2*o**2 - 82377*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251687 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-162))\/((-4)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-120))\/((-3)\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -51\/4, 62751, 1 in ascending order.\nAnswer: -51\/4, -2, 0.5, 1, 62751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 14. What is the units digit of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 10 + 5. Let x be u*(-62)\/66 - 3. Which is the closest to -1\/2? (a) x (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432109887?\nAnswer: 3, 11, 13094239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1024)\/8192)\/(((-6)\/(-16))\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 128 + 322 = 0. Let z = u + 148. Let g = z - 33. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, 4, -2 in ascending order.\nAnswer: -15, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**5\/5 + 3*t**4\/4 - 90*t**3 + 2969*t**2 - 7419. What is the second derivative of f(s) wrt s?\nAnswer: 12*s**2 + 18*s - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 1 + 4)\/(5\/(-745)). Suppose k - 5*g - 57 = -4, -5*g - w = -3*k. Which is bigger: 51 or k?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 114 = v - 545, -1309 = -3*v + 2*j. List the prime factors of v.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 88, 149, 220, 295?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + w + 3 - 4)*(-31*w**3 + 73*w**3 - 27*w**3) to the form c*w**3 + z*w + t + q*w**4 + b*w**2 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/7 + 4\/(-14). Let h = 2 - z. Let v = 214 + -1928\/9. Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -96, -176, -294, -462?\n\"Answer: -2*q**3 - q**2 - 37*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3 - 6. Let d(n) = n**3 - 2*n**2 + 3*n - 2. Let m be d(v). Suppose -2*g + 0 = -m. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-162 - 2\/(-2)). Let x be (-3)\/(-9) + o\/(-495). Let k = 101\/165 - x. What is the closest to 2 in k, 4, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4821130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5)\/4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5009 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19365 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Let c(v) = 4*v**3 + v**2 - 1. Let x be c(1). Let h be 3 + (x\/z)\/(-2). Solve h*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 856*h - 1696.\nAnswer: -4*(h - 212)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 304522.\nAnswer: 152261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 28*m = -26*m - 3, -4*n + 5*m = -9. Let y(g) = -2 + 9*g**2 + 3 + 0 - 2*g**2. Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -118?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.5 - 107.5. Let q = -1 - -1. Which is the nearest to q? (a) o (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -13*m**5\/20 + m**4\/8 + 81*m**3\/2 + 2*m**2 + 11*m. Differentiate b(o) with respect to o.\nAnswer: -78*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + -1. Let g = 0.8 - k. Which is the third smallest value? (a) g (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(n**2 - 2*n + 2*n) + 7*n**2 + 4*n**2 - n**2)*(-5*n + 4*n + 2*n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.37960319 rounded to three dps?\nAnswer: 9.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21 = z, -2*z - 3*z = 5*a - 30. Solve -2*i - a*i = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 + 8*o - 14. Let n(p) = p**2 + p - 1. Let m(l) = -8*n(l) + x(l). Differentiate m(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -111101?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) + (-516)\/(-42). Suppose -b + 33 = 3*r, -4*r + 3*r + b + 15 = 0. Is a not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/49 + 34\/245. Let h = 0.16 - 0.56. Suppose 4*y - 2*n - 12 = y, n = -2*y + 8. What is the biggest value in y, r, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4141776 is divided by 2111?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 69096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5734 - 5729. Solve x*q = 98 - 78 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5694 + -22713\/4. Let f(n) be the first derivative of y*n**2 + 11 + 5*n**3 - 9\/10*n**5 + 1\/4*n**6 - 9\/4*n**4 + 27\/2*n. Factor f(c).\nAnswer: 3*(c - 3)**2*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 455*f - 5. Let y be p(0). Put 118, 0, y, 4 in decreasing order.\nAnswer: 118, 4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 9 + 15)*(0 + 2 + 0)*(-p**4 - 3*p + 3*p) to the form i*p**4 + j*p**2 + l + h*p + d*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -67 (c) -1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**2 + 25*u**4 + 5*u**5 - 25*u**4 wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/960 and (-26072)\/59136 - 6\/(-22).\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288066061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 17?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**2 + 17*w + 8. Let d(r) = 5*r**2 + 6*r + 3. Suppose -i = -3*t - 17, 5*t - 3 = -2*i - 13. Determine t*b(z) + 11*d(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -41. Suppose 5*o = -s + 3, -b*s = -2*o - 7*s + 4. Suppose 5*k + o = -4*w, -19 = 2*w - w + 5*k. Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*p - 68110 = -6*p, 2*j - 3*p + 136215 = 0. What is j rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 5*f**3\/6 + f**2 - 89*f - 12. Let o(n) be the first derivative of p(n). Let j(m) = 11*m + 5. What is -3*j(k) + 7*o(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*a**3 + 4)*(-2 + 2 - 2 - 1 - 3 + 2 - 1 + 3 - 4 + 2 - 5 + 1 + (2 - 2 + 2)*(0 - 2 + 1) - 3 + 4 - 2 - 2 + 0 + 0 - 1 + 2 - 3 - 2 + 0 + 4).\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s + 17. Let d(j) = -5*j + 4. Let k(p) = 8*p + 132. Let i(f) = -4*f - 66. Let q(t) = 11*i(t) + 6*k(t). Let v be q(-16). What is v*h(y) - 9*d(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15172c (base 13) to base 9.\nAnswer: -867807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -29.2\nAnswer: -116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2. Let l(d) = -3321*d**2. Give t(l(y)).\nAnswer: 44116164*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -5 (c) 0 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 17906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 38. Let v be t(-10). Calculate the greatest common divisor of v and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8113.556cm in millimeters?\nAnswer: 81135.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-2))\/9*3\/(-2). Which is the closest to n? (a) -1 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-10)\/(-15)*-27. Is -18 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 195 + 100. Let j = i + -36. Find w such that -10 - 3*w**2 - 10*w**4 - 50*w**3 + j*w**2 + 25*w - 2*w**5 + 27*w**5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*w + 460 = -295*w - 136 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.2269 centuries to months.\nAnswer: 252272.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**3 + 0 - 1\/3*v**4 - 2*v**2 - 2*v. Differentiate c(u) with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3 - 18. Suppose 13 = 3*o - g. Let i = -6 + o. Solve i = 5*w, 2*f + 6 + 0 = 4*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*2*sqrt(13) - (-1*sqrt(13) + -4 - sqrt(78)\/(sqrt(6) + sqrt(54))).\nAnswer: -3*sqrt(13)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35051057 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32496657211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000174031 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*x = -262 - 64, 317 = 3*p + 4*x. Suppose 12*a + 20 = 7*a. Calculate the remainder when p is divided by (-6)\/(-4) + (-138)\/a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/101 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 36535*w**3 + 33044*w + 29. Let h(n) = 24357*n**3 + 22029*n + 21. Let l(a) = 7*h(a) - 5*x(a). What is the second derivative of l(q) wrt q?\nAnswer: -73056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -4543704?\nAnswer: -4543704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.63 - 38. Let p = k - 0.4. Let s = -0.07 - p. Which is the second smallest value? (a) 3 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 24. Let u(y) = -12 - 72 + y - 2*y + 6*y. What is the least common multiple of u(26) and j?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:06 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 6*6\/(-9) + -2. Let n(o) = 1. Let r(d) = -6*d**2 + 3*d - 6. Give g*n(v) - r(v).\nAnswer: 6*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 6*a**2 + 12*a + 5. Let z(h) = -5*h**3 - 17*h**2 - 35*h - 14. What is 17*w(x) + 6*z(x)?\nAnswer: 4*x**3 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*a - 28 + 12, 2*a + 4*q + 10 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3) + 3 + -12. Let l be 339*((-25)\/y - 2). Let a = l + -272. What is the common denominator of -3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from lahlllhhxhpl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24302 (base 5) to base 12\nAnswer: -1083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-5)*(9 - 279). Let o = p - 99. What is the remainder when o is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -89. Calculate the remainder when 116 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89442828 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-30))\/((-64)\/20)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - ((-3666)\/182 + 8\/(-7)). What is the greatest common divisor of 175 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**16*k))\/(k*k**(-1\/22)*k))**(2\/37))**(-1\/77) assuming k is positive.\nAnswer: k**(417\/31339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/10 - (-14)\/35. Let k be s - (-1 + (-3 - -3)). Find the second derivative of 9*t + 2*t - 4*t + k*t**3 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 3262*o**4\/5 - 53938*o**3\/5 + 33842*o**2\/5 + 111552*o\/5 + 4104 = 0. Calculate o.\nAnswer: -342, -1, -1\/5, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.54 + 1.04. What is the nearest to 2\/9 in y, 4, -6\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 434*k - 2220.\nAnswer: 2*(k - 222)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -16. Let m be -1 + 9\/((-18)\/(-4)). Let u = x + m. Solve -u*h - 4 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52560 is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wawafwacaawwfzawa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 6, m: 2, x: 3}. Give prob of sequence cr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 2 (c) 1\/5 (d) 3 (e) 14\/2231\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/(-3600)*6)\/(97\/(-86)) and 181\/150.\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26353267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*f + 14, -7*f = -8*f + 1. Let d be (2\/k*-4)\/((-2)\/18). Differentiate d + 28*w**3 - 6 + 5 with respect to w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231271115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-30)*10\/(-12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*g**3 + 252*g**2 - 185869*g - 36 wrt g?\nAnswer: 312*g + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(13\/52 + (-505)\/4). Calculate the highest common divisor of 322 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 - 181. Let c = 81 - i. Solve 0 = -x + c*x + 4*o - 7, -2*x - 4 = 5*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 251736608*o + 23764244927754624.\nAnswer: 2*(o + 188802456)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 4*o + 2. Suppose c + 4*j = 12 + 16, c - 52 = 2*j. Find the common denominator of z(6) and ((-170)\/(-16))\/((-33)\/c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.1. Let r = -3.6 - -3.7. Is j less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -906 - -910. Suppose 73 + 20 = 3*h - 5*s, 0 = -4*s. Calculate the remainder when h is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s**3 - 4 + 4 - 165*s**3 + 92*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + (0 - (2 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58182, -58176, -58170, -58164, -58158?\n\"Answer: 6*x - 58188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 - 3*m. Let s(i) = 83*i - 69*i + 75 - 75 + 24*i**2. Suppose -2 + 3 = -y, 3*y = -h - 17. Give h*n(k) - 3*s(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 1, j: 1, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536, 7041, 16208, 29031, 45504, 65621, 89376?\nAnswer: 116763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 17*y**2 + 17*y + 23. Let n be i(-16). Suppose -5*w + n*w - 9*w = 0. Solve -3*q = -4*k + 19, -q + 3*k - 13 = -w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8 - 5)\/(0 - 3\/(-265))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s**3 + 63*s**3 - 30*s**3)*(4*s + s - 3*s)*(6 + 29 + 3).\nAnswer: 380*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35426438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 2 - 19*c + 6*c + 13*c + 7*c. Let y(w) = 9*w - 3. Determine 4*b(x) - 3*y(x).\nAnswer: 9*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:02 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 734814 divided by -5?\nAnswer: -734814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-5)*-1)\/((-35900)\/700). Let q = k - -15353\/21540. Find the common denominator of q and -9\/11.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918497875 less than 2427?\nAnswer: 1918500302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a + 33. Let u be q(-6). Let p be -3 + 1\/(u\/(-45)). What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88\/5 - 18. Which is the nearest to -0.1? (a) -1\/5 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792767639.\nAnswer: 792767639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.08, 0.38, -66, -2, 2\/7.\nAnswer: -66, -7, -2, 0.08, 2\/7, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 2*z - 1. Let r(f) = -14. Let k(j) = -5. Let h(c) = 11*k(c) - 4*r(c). Determine a(b) + 2*h(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taekatknknkakkat. Give prob of sequence nk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6055 divided by -1211.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5887*b**2 + 4 - 4 - 5888*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r + 0*r**3 - 1\/6*r**5 - 5\/8*r**4 + 0 + 7*r**2 + 1\/24*r**6. Determine o, given that b(o) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -51*w - 49. Let y be k(-1). Solve 4 = 2*v + p, 3*v - y*p = -0*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 83*c - 235. Calculate i(-80).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4366?\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {t: 2, l: 1, m: 8, f: 1, a: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 56 = 5*m, -16*m + 18*m - 21 = u. What is the least common multiple of 616 and m?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x - 70*x + 39*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by -2?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*i + 7204 + 12554, -4*i + 39514 = 5*v. Calculate the highest common divisor of i and 482.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - i**2 - 2. Let w be a(2). Let v be 24*-1*1\/(-3). Suppose 3*p - v = m, 2*p + 3*m - 8 - 1 = 0. Solve 2 = -f - w*q + 7, 5*f - q - p = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:05 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 5*v + 3*v)*(-2 + 3 + 1) as o + c*v and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14840711 is divided by 6590?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 815 + 644 - 2195 + 38*v**2 - 2*v**3 = 0. Calculate v.\nAnswer: -7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3904473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and 77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 + 2*x**2)*(5518*x - 5518*x + 114*x**2 + (0*x + 3*x - x)*(0 - x + 0)).\nAnswer: -112*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**4 - 623*m**3 - 6*m**2 + 1107*m - 6. Let f(c) = -2*c**3 + c**2 + 1. Let u(i) = 6*f(i) + o(i). What is the second derivative of u(k) wrt k?\nAnswer: 12*k**2 - 3810*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n - 3. Let l(m) = 4*m + 1. Let t be (6\/(-4))\/(18\/1776). Let v = -155 - t. Determine v*l(u) - 3*k(u).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 44 = -2*p. Calculate the highest common divisor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.1? (a) 0.5 (b) 1 (c) 4\/3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*j - 127 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 48 = -10*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 19 = 4*g + 49, 0 = 3*p + 2*g + 58. Let t be p\/(-6) - 20\/30. Suppose -m - 36 = t*m. Is m at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9355.172 rounded to the nearest ten?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -331 and -405?\nAnswer: 134055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(-105)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.07 (b) -3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 880*-3*14\/(-105). Is f\/(-48)*678\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.057091ug to kilograms.\nAnswer: 0.000000005057091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9632?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 12*l**3 + 21*l**2 + 30*l.\nAnswer: -3*l*(l - 2)*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -65*p**3 + 45*p. Let s be 1 + -14 + (-6391)\/83. Let l(m) = 3*m**3 - 2*m. What is s*l(g) - 4*u(g)?\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/(-11))\/(-12) + (-34)\/(-8). Solve z*y = -13 + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112040 and 100836.\nAnswer: 1008360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*l)*(-3*l**2 + 3*l**2 + 2*l**2) + 0*l**3 - l**3 + 0*l**3 - 7*l**3 - 6*l**3 + 7*l**3 + (-2*l**2 - 68*l**2 - 2*l**2)*(-2*l + 0*l + 3*l).\nAnswer: -75*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j + 7353. Let h(c) = -2*c - 2448. What is -2*f(w) - 7*h(w)?\nAnswer: -4*w + 2430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -99 - 16. Suppose 21*v - t*v = -26. Solve -4*k - v = -o, -o - 5*k + 6*k = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63498047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, -13, -17, 34 in increasing order.\nAnswer: -41, -17, -13, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11224 + -11223.9. Is -5862 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a - 1. Let d(g) = 15*g**4 - g**3 - g**2 + 6*g + 23. Let f(k) = -d(k) - o(k). Find the second derivative of f(t) wrt t.\nAnswer: -180*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 50476*w**3 + 636805189*w**2 - 3822648486*w = 0. Calculate w.\nAnswer: -25241, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-909)\/(-72) + 3\/8. Suppose 9*p = s*p - 8. Let k(l) = -95*l**2 - l**3 + 50*l**p + 50*l**2 + 5 + 2*l. Calculate k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 6, 5, 3 in descending order.\nAnswer: 6, 5, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1112106556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 + 110 = -15*x + 284. Let k(d) = -d**3 + 25*d**2 + 3*d - 32. Give k(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5 = -5*w, -2122*w - 3*y = -2124*w + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 235.84146 nanoseconds?\nAnswer: 0.000000003930691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582504 is divided by 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1517, 1390, 1263, 1136, 1009?\n\"Answer: -127*z + 1644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173.2 + -27.2. Let y = -142 + o. Put -2\/11, -7, y in ascending order.\nAnswer: -7, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -11.654.\nAnswer: -1177.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g**(-1\/6)\/g*g)**(-43)\/(g\/(g*g\/(((g*g\/(g*g**3))\/g)\/g))*g*(g\/(g\/g**(-1\/7)*g))\/g)**(-2\/95) assuming g is positive.\nAnswer: g**(142459\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:34 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -47*v**3 + 7*v**2 - 9. Let j(o) be the first derivative of 6*o**4 - o**3 + 4*o - 2582. Calculate 6*c(h) + 14*j(h).\nAnswer: 54*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216683 and 143267.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1321 - -1321.005955. What is f rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18294 = 26*r - 18138 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s + 148559 - 148535 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (385 - 43)*4*10\/16 is divided by 148?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m - 0. What is the common denominator of 14\/3*(-231)\/220 and (116\/(-48))\/(m\/(-4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b. Let f be (-624)\/(-286) + 4\/(-22). Let h(v) = 79 - 79 + 2*v**f + 0*v**2. Calculate h(r(i)).\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 6, u: 2, v: 3, n: 2}. Give prob of sequence ut.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 1\/3, 0.0219 in decreasing order.\nAnswer: 0.8, 1\/3, 0.0219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197195 is divided by 2052?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -7*y**2\/2 + 13. Let p(o) = -5 + 5 + 2*o. Determine r(p(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2665? (a) -5 (b) -6 (c) 1\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 8.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3)*a**(-4\/5))\/(a\/a**(-2\/7))**(3\/8))\/((a*a**(-2)\/a*a*a*(a*a**(2\/5)\/a*a*a)\/a)\/(a**5*a\/(a**(1\/3)*a))) assuming a is positive.\nAnswer: a**(5027\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -67. Suppose -3*n - 4*w + 5 = 0, 5*n - c + 0 = -4*w. Let u(f) = -4*f**2 - 2*f - 1. Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2 + 148539916*d - 1296671169 wrt d?\nAnswer: -2*d + 148539916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10246531973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 3, j: 3, o: 2}. Give prob of picking 2 j and 2 o.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 times -3889?\nAnswer: -3013975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 1033 = -3*j + 11*v, 3*j + 1036 = -2*v. Let y = j + 2077\/6. Sort 2, y, -1\/5, -5.\nAnswer: -5, -1\/5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-99) - 26\/36. Let s = 19 - 21. Let u = 1.8 + s. Sort 0.5, u, d.\nAnswer: d, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -70*i + 65*i - 68, 17 = f. Let -4*u**4 - 2*u**2 + 3\/5*u**5 + i - 8\/5*u + 7*u**3 = 0. What is u?\nAnswer: -1\/3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 - 21*i**2 - 3*i - 4. Let t(z) = 2*z**3 - 10*z**2 - 2*z - 2. Let f(c) = -4*m(c) + 9*t(c). Find x such that f(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 4*d**2 - 2*d**2)*(-7*d + 4*d - 4*d).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9709716, -19419391, -29129066, -38838741?\n\"Answer: -9709675*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:06 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 674*n**3 - 678*n**3 + 44*n**2 + n - 3 + 1 in the form i*n + s + y*n**3 + l*n**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 252*u + 13. Let k(r) = -252*r - 13. Let d(m) = -2*k(m) - 3*z(m). Let q be d(13). Is 17 a factor of 2\/5 - q\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1886717170?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/79)\/i)\/i)\/i)\/i*i*i\/i**(-19)*i**18*i**(-16)\/i*i)**38 assuming i is positive.\nAnswer: i**(56962\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -49. Let d be (5\/w)\/((-1)\/12). What is the highest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*n = 4*n + 3, 9 = -3*a - 4*n. Let z be 19*3\/12 - a\/12. Suppose 0 = -3*x + 2*p + 3*p + 1446, z*x - 2410 = 2*p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 12. Solve -4*w = -w + q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1048? (a) 2 (b) 0.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beebeebebbleeesb. Give prob of picking 1 e, 1 l, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 66*j**2 + 144*j - 928. What is k(68)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 14 = -2. Suppose -7*t = -3*t + 12. Let f = t - -7. What is the highest common factor of r and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + 4 + sqrt(637) + (sqrt(637) - (4 + -1 + sqrt(637))) + -3 + sqrt(637) + 0)*4)**2.\nAnswer: -896*sqrt(13) + 40832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(500) - (sqrt(500) + 0)))**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*n - 337 = 270, 0 = 5*a + n + 3062. Let q = -2433\/4 - a. What is the common denominator of -117\/14 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 + 2*f**2 + 0*f**2)*(12 + 2 + 18)*(-2 - f**2 + 2) in the form u*f + q*f**3 + b*f**4 + o + v*f**2 and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + sqrt(352)*3)\/(sqrt(2) + (sqrt(50) + sqrt(1800) - sqrt(50))).\nAnswer: 16*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/19 + 14\/57. Let a = 14 - 13.45. Let s = -0.55 + a. What is the biggest value in r, s, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809920419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 392*f*k**4 - 16*f*k**2 - 4*f wrt k?\nAnswer: 9408*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 139. Let f = 1534.94 - 1535. Which is the nearest to m? (a) f (b) -4\/5 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let i be (8\/(-10))\/(((-5)\/(-25))\/(-1)). Let m(b) = 2*b - 1. Suppose -2*s = -s - 3*h + 2, 3*h = 3. Determine i*v(f) + s*m(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/24)\/((-1)\/6). Let q(n) = -x - 2*n**2 - 2*n**3 + 5*n**2 - n**2 + 3*n**3. Let v be q(-1). Let w(d) = d**3 + d**2 + 1. Determine w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -4. Let s = i - -2. Let g = 6.004 + s. What is g rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(2299)*-4 + 5)*-2*-5.\nAnswer: -880*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 22) + -39 + -1 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52268.5 - -52268. Let c = 23 + -25.1. What is the second smallest value in b, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 17. Let h be 36\/408*(-64)\/48. Let w = -3 - -3.1. Which is the biggest value? (a) h (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Let x(c) = 5*c**2 - k*c**2 + 0*c**2. Let r(m) be the second derivative of m**3\/6 + 9*m. What is r(x(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2882, -9229, -26460, -60017, -115342, -197877, -313064, -466345?\nAnswer: -663162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -353*p**2 + 23*p + 21. What is u(-1)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.5, 231, 2.2, 1\/33, 1\/6, -2?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.083 + 0.083041. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10750.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from ncjqqocqfcqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*k = a - 10235, 0 = 2*a + 2*k - 10232. What are the prime factors of a?\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 14. Let x be o(-6). Suppose 31 = -x*m - 25. Is m less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 - 43*m**3 - 814*m**2?\nAnswer: 120*m - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2090?\nAnswer: -3\/2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/f*f**(-2\/3)*f*f)\/((f**(2\/17)*f)\/((f*f**6)\/f))*f**(-1\/6)*((f*f\/(f\/(f*f\/(f*f**1*f*f)*f)))\/f)\/f*(f*f**(-1\/2)\/f)**15 assuming f is positive.\nAnswer: f**(-301\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2315*z**2 - 18*z - 46. Is o(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 675546*u**2\/5 + 11409262614*u + 34226571870.\nAnswer: 2*(u + 3)*(u + 168885)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 4*d**4 - 2*d**4)*(2*d - 2 - 2 - 4*d) + 7*d**5 - d**5 - 2*d**5.\nAnswer: 2*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 212, 227, 248, 275?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10478204303183\/2683474239754 + -3\/371106934. Let o = -1\/21693 - y. Let z = 1179767\/30 - 39330. Calculate the common denominator of o and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:40 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1\/160*f**5 + 1\/4*f**2 - 7\/48*f**3 + 1\/48*f**4 + 0 - 17*f. Find i such that g(i) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5067 and 338363.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)*y\/(y\/((y*(y*y\/(y**(2\/11)\/y))\/y)\/y)))**(-41) assuming y is positive.\nAnswer: y**(-5371\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 764 - 764.03. Which is the biggest value? (a) l (b) 1\/2 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 = -41*j - 22*j. Solve -9 = j*o - 20*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -77*k - 2. Does 25 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4292 + 6135. Suppose -316 = -3*j - n. Let d = 712 + j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:12 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/12432 and 59\/2072?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. Suppose 8 = -4*t - 4*c, t + 14 = r*c + 42. Suppose -3 = -j + t. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*l + 1, -s + 0*l + 1 = -l. Let q(d) = -2*d**2 + 4*d + 1. Let v(y) = y**2 - 3*y. Let b(p) = -3*q(p) - 4*v(p). List the prime factors of b(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 8. Let y be u(7). Let z = y - -25. Solve z*v + 0*v - 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11160 + 11159.9529. Which is the second biggest value? (a) z (b) 0 (c) -4 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 97 = 107*q - 36 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/(-42))\/((-8)\/6). Suppose -p = x + 5, -8 = 2*x + 2*x. Is (-5)\/p*(2 + t) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 4*l - 5. Let p(f) = -6*f**2 - 19*f - 25. Let t(d) = 11*n(d) - 2*p(d). Let v(z) = z + 11. Let b be v(-6). Calculate t(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 39*u**3 - 5. Let k(q) = -116*q**3 + 14. Let c be 15 + (-11)\/99*9. What is c*i(z) + 5*k(z)?\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 + 7*b - 10. Determine c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 4*x + 1. Suppose 4*a = 1 + 3, -5*a - 25 = -5*o. Let b(f) = 3*f**2 - 3*f + 1. Determine o*b(z) - 5*l(z).\nAnswer: 3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 4. Suppose 4*f + 4 = 5*n + 20, -m*n - 1 = -f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 31 - 32 - 19 - 2*p**2 - 20.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:04 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5\/4 + 21501*p**4\/4 - 8349588*p**3 - 4589159919*p**2 - 558731823552*p - 2679977180160 = 0.\nAnswer: -222, -5, 3808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o - 5. Determine f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + v - 13 = 0, -7 = -5*l - v + 9. Suppose 2*r - l*w = -0*r - 13, 2*w - 2 = 0. Let s = 7 + r. Solve 2*p + 2*p = -s*c + 16, 0 = p - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3162 * -181.\nAnswer: 57.2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 33?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Let l(n) = 3*n**2 + 36 - 36. Give v(l(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00386 - 0.30386. Let h = -11\/29 + 1\/232. What is the nearest to 2\/5 in h, 0.3, -34, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-6)\/(-60) + 16\/5. Find the second derivative of -31*r + 4*r**3 + 29*r + 32*r**g wrt r.\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.643 - -55.799. Round f to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.36 - -8. Let m = g - -0.360034. What is m rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 10*n + 8*n + 10*n - 36*n + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30652960 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.04. Let y = 2.615326 + -2.45532636. Let v = x + y. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -2655 (c) 0.3 (d) 6 (e) 3 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/7289 or -1\/2?\nAnswer: -31\/7289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 171 = -3*l - 3*d, 4*d = -l + 42. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-2)*2\/6*-4. Solve -3*n + 3*t = l, -t + 12 = -4*n - 0*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -14, -2, -3.\nAnswer: -14, -3, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 0*n**2 + n**2 - 10 - n**3 + 7*n**2 + 4*n. List the prime factors of o(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1177 + -626. Suppose -o*b = -557*b + 4398. What are the prime factors of b?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3678 = -4*r + 2*r. Let o = r - 25807\/14. Find the common denominator of o and 115\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*j - 3806 = -3824, 3 = 3*f - 3*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 e when four letters picked without replacement from {u: 1, e: 7, k: 3, a: 1}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*c + 1433 = -6263. What is the greatest common divisor of 689 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 90*q = 63*q - 1512 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-486)\/63 + 22\/(-77). Let i(q) = -q**3 - 9*q**2 - 4*q - 11. What is i(r)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*(-1782)\/69741*(-1)\/((-22)\/36)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 164 = 4*d, -4*d + 2*o = -o - 166. Suppose 6*p - 4*p = d. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:21 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1. Let h(c) be the second derivative of -11*c**4\/6 + 3*c**2 + 686*c. Determine h(s) - 6*q(s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvfvfffvccvf. What is prob of sequence cffc?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**4\/6 + 2*q**2. Let b(v) be the third derivative of -v**5\/20 - 69*v**2. What is z(b(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 + 73 = -138*g. Let t be 13\/34 + (-3)\/6. Let m = -13\/34 + t. What is the closest to m in 0.5, g, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2\/5 - 444*y\/5 - 9288\/5 = 0?\nAnswer: -18, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 - 3*y - 8*y**3 + 3*y - 2*y**3 - 513*y**2.\nAnswer: y**3 - 513*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k - 558 = -315 - 4833. What is the remainder when 2548 is divided by k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let k = -0.8 - 0.2. Let u = k - p. Is u greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4, -28 in decreasing order.\nAnswer: 4, 1\/4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*s + 4*d + 1, 4*d = 4*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**3*x**2 - 2*b**2*x**2 + b**2 - 140*x**2 wrt b.\nAnswer: -18*b**2*x**2 - 4*b*x**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 + v - 1. Let l be f(1). Let g(p) = -p**3 + 5*p**2 - 3*p - 5. Let h be g(l). Let m = 5 + h. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7 - 2 = 5*n, -4*y + 15 = -n. Calculate the remainder when 16 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405947 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 10. Let u(p) = 6. Let z(l) = -3. Suppose 4*x = 2*x + 6. Let w(f) = x*u(f) + 5*z(f). Give -2*n(g) + 7*w(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 84196325 divided by 5\nAnswer: 16839265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 19 = 2*z, 5*z = j - 2*j + 67. Suppose 3*v = 16 + z. Let x = -9 - -11. What is the smallest common multiple of v and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9841 - 3186. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/((y\/y**(-1\/6)*y)\/y*y*y))**(3\/11) assuming y is positive.\nAnswer: y**(-19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05053 to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3416 + 3619. Let i(x) = -2929*x - 203. Let y(g) = 29*g + 2. Calculate b*y(t) + 2*i(t).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 38. Suppose 38 = -5*l + 18. What is the tens digit of (t\/(-5))\/(l\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 243\/18 - 2\/((-8)\/(-6))?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x + 5*x**2 - 11*x + (2*x - x - 3*x)*(-2*x + 8*x + 10*x).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjrrrj. Give prob of sequence jrj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11272 = -3*q - 10*p, -p + 15001 = 4*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/120 - y**5\/20 - y**4\/12 - y**3\/2 + 14*y**2 + 5. What is x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/4, -3, 10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 58 + -12 + (11 - 10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, 145, -5\/8, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 994 * -0.076\nAnswer: -75.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + n**2 + 6*n - 4*n.\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -12 (c) 202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 923 + -2104. Let t = n - -596. Let w = 616.9 + t. Round w to zero dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 895 = 69. Let m = k - -34. Suppose 2*w - 3*c = m, c - 430 = -5*w - 84. Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*26\/(-78).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111100001 + 10011011?\nAnswer: 1010001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -414 (b) 0.1 (c) 8\/13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 509?\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1416143 take away 5087?\nAnswer: -5087.1416143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -3*(-2*sqrt(675)*-4)**2*-1.\nAnswer: 129601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11.05. What is the closest to o in -2, -2\/21, -1\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 25 = -260. Calculate the greatest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/(5\/(-20)). Put r, 0, -17 in increasing order.\nAnswer: -17, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6158439?\nAnswer: 3, 7, 67, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - 20\/(-15). Solve 7 = 4*m - 2*q - 3, d = -m + 4*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20690.355ms to minutes.\nAnswer: 0.34483925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4479, -4652, -4825?\nAnswer: -4998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38405 is divided by 5842?\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -485*v + 16015. Determine f(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**3 + 3*t**3 + (-t**2 + 3*t**2 - 4*t**2)*(-2*t - t + 5*t) - 2*t**3 + 0*t**3 + t**3 + (t**2 - 14*t**2 + 4*t**2)*(-1 + 1 + t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/(i**(-2\/7)*i)))**(1\/2)*i**(-1\/4)\/(i**(-2\/11)*i) assuming i is positive.\nAnswer: i**(89\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8710)\/12 - (-40)\/(-40). Let x = b + 731. Calculate the common denominator of 19\/122 and x.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 + 456 - 1237*h**3 - 3184*h**3 - 910*h**3.\nAnswer: -5331*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 73. Find s, given that -50*s**4 + 62*s**3 - 36*s**3 + 2*s**4 - h*s**2 + 18*s**5 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {r: 9, u: 2, p: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -196 and 313224.\nAnswer: -61391904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -2*h, -4*s + 20 = -h + 3*h. Let x(i) = i**2 - i - 4. Let q be x(s). Let k = 332 - 324. What is the highest common factor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4 - 2. Suppose -6 + 12 = r*m. What is the greatest common divisor of 18 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 3.9. Let x = -4.1 - g. Let p = 4 + 1. Which is the second biggest value? (a) -5 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2196*t**3 + 24011*t**2 - 36794562*t?\nAnswer: 13176*t + 48022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-96))\/(4\/(-6)))\/((-92)\/(-9936)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -257*s**2 - 13*s + 4. Let k be x(2). Let r(u) = u + 2. Let q be r(3). Let g be 90\/k + -1*1\/q. What is the nearest to g in -11, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8001569 rounded to three dps?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -40. What is the units digit of (0 - b\/(-2)) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 - 2 + 17*b**2 + 609*b**2 + 346*b + 2.\nAnswer: 638*b**2 + 346*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiigungiuggin. Give prob of picking 1 n and 2 i.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let n be 2815*(-2 - 2 - -5). Let v(j) = -30*j + 2815 - n. What is f(v(a))?\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -22 - -4 - -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -0.4 (c) -943 (d) -3 (e) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45526243 - -6?\nAnswer: -45526234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 0)*6\/4. Suppose -5*l = -z*d - 45, 0 = -4*l - 5*d - 4 + 3. Calculate the least common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(16\/(-192)). Let m = -5 + 34. What is the remainder when m is divided by ((1 - 3) + u)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 3*c**2 + c**2 - 4*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 + 1412939.299.\nAnswer: 1412979.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 3*i**8\/140 - 2*i**7\/105 + i**6\/180 + i**4\/12 - 5*i. Let s(k) be the third derivative of w(k). Factor s(q).\nAnswer: 4*q*(6*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 3, f: 6, v: 1}. Give prob of picking 2 w and 2 z.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4549 + 0.7142. What is s rounded to 3 decimal places?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.99 + -3. Let m = -0.03 - -0.02. Let u = m - t. Which is the third smallest value? (a) 2 (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10405, 41485, 93279, 165787, 259009, 372945?\n\"Answer: 10357*h**2 + 9*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/4 - 25*z**2\/4 - 15*z\/2.\nAnswer: -5*z*(z + 2)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066821131 rounded to seven decimal places?\nAnswer: -0.0006682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (645\/90)\/43*(-1 + 3). Factor -1 - 1\/3*r + r**2 + k*r**3.\nAnswer: (r - 1)*(r + 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-4\/19))\/k)\/(k*k*k*k**25*k))\/((k*k**22\/k)\/(k*k*(k\/(k*(k*k**(-22\/9)*k*k*k)\/k*k*k))\/k)))**(-3\/23) assuming k is positive.\nAnswer: k**(9023\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29460 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 18, 19, 12?\n\"Answer: -4*r**2 + 21*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/62932 and -75\/52.\nAnswer: 818116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325) + -2)**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(-30) - 2)*(-10)\/5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 57*d - 1173. Is 87 a factor of f(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*h + 29, 0 = 2*c - 34*h + 31*h - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1081.546 - -1.546. Let a = -1098.36 - l. Let s = a + 18. Round s to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.1. Let x = 0.09 - 0.08. Let s = -3.99 - x. What is the nearest to d in 0.2, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:40 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 44*u**2 - u + 1. What is o(2)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 664? (a) 4 (b) -0.6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10011001 (base 2) to base 11\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1)\/(8 + 6 + -11)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7334954 and -4?\nAnswer: 7334958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -178, 928, 2722, 5204, 8374?\n\"Answer: 344*f**2 + 74*f - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 127*j**3 - 3*j + 3. Let g(n) = -n**3 - 4*n**2 + 5*n + 1. Let p be g(-5). Suppose p = -c - z + 6, 0 = z - 4. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1269 divided by -75.\nAnswer: 423\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 + 18*f**2 + 15*f = 0. Calculate f.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2225 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2062, 7051, 15366, 27007, 41974?\n\"Answer: 1663*u**2 + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqxqqbxqqaxaqbbqaxq. What is prob of picking 1 b, 1 q, and 2 a?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 5*s - 2. Let a be o(-4). Suppose -53*d + 3 = -52*d. Suppose a*l + 21 = 4*g + 85, 0 = -5*l + d*g + 174. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 12*p + 552. Let n be (1 + -1)*35\/175. What is the units digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 40135*h**2 + 80290*h.\nAnswer: -5*h*(h - 8029)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16172273*f**5 + f**4 - f**2 - 674470 wrt f.\nAnswer: 970336380*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -24\/13 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/((-714)\/(-28)))\/((4\/(-6))\/(735\/(-45))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -12*s. Let b be o(1). Let z be 5\/(-2)*b\/15. Suppose -6*n - 236 = -5*y - z*n, 4*y + 2*n = 168. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 40. Let a(l) = 4*l**2 + 2*l - 2. Let u be a(c). Let v(b) = 3*b**3 + b**2 - 2. Let q(t) = 10*t**3 + 3*t**2 - 7. Give u*q(w) - 14*v(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 24*h**2. Let s(r) be the first derivative of -r**3\/3 - 18. Give s(v(a)).\nAnswer: -576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + r**4 - 2*r**4)*(0 + 1 + 2)*(277*r - 155*r - 193*r).\nAnswer: -426*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/3 + 1)*((-4884)\/88 - -24). Determine k so that 3\/2*k**2 - 45\/2 - w*k = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1 + 8793\/48906. Let i = -1\/494 - z. Suppose y = 4*y + 3. Sort i, y, 3\/7 in descending order.\nAnswer: 3\/7, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 515146?\nAnswer: -515142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3114336, 3114330, 3114320, 3114306, 3114288, 3114266, 3114240?\n\"Answer: -2*a**2 + 3114338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 1, j: 1, r: 7, b: 1, n: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*q = -76, 4*k - 541953 + 541817 = -2*q for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 3*c - 4. Let v be w(-3). Let m = 57 - 121. Let k = 323\/5 + m. What is the third biggest value in v, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*n + 10*n - 92 = 0, 0 = 3*n + 6. Let f(l) = -l**3 + l**2 - 2*l + 13. What is the remainder when x is divided by f(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 27*d**2 + 46*d**2 - 90*d + 65*d in the form n*d + b + w*d**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17662 - 35329 - 4*c + 17667 + 0*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 473 + -2?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 517*v**4\/3 - 82*v**3\/3 + 4*v**2 - 24*v + 37. What is the second derivative of z(w) wrt w?\nAnswer: 4136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 8*v - 2*v. Calculate the least common multiple of (33\/6)\/((-1)\/(-2)) and v\/(18\/4) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 142. Give r(-12).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3476 = 2*w, -5*k + 8634 = 40*w - 42*w. Solve 6*s + 1688 - k = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 97*y**2 - 8*y - 55. What is the tens digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 28. Suppose -7*z + 10*z = j. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 32617916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -8)\/(-2) - ((-405)\/(-15) - 22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 3*a)*(0 - 1 + 3)*(0*a**3 - 2*a**3 + 0*a**3).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (15 + -9) - -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/4 or 3?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -152.6 + 0.4509\nAnswer: -152.1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 4. Let m be n(4). Suppose -2*h = -m*h - 10. Suppose -11 = -h*z + 124. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114269 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, u: 2, a: 3, p: 5}. What is prob of picking 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3. Let j(m) be the first derivative of 3*m**2 - 5*m - 3. Let n(z) = z**3 + 4*z**2 - 12. Let p be n(-3). Calculate p*j(i) + 5*b(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - 17*q**2 - 5*q**2 + 311*q**2 + 39*q**2 + 105*q**2.\nAnswer: 424*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9b383 (base 13) in base 6?\nAnswer: -233325113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 5*i + 12, -3*i + 4 = 183*s - 187*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a + 5. Let p be f(8). What is the highest common divisor of p and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 828 + -743. What is the greatest common factor of r and 2380?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q*q**(-4)\/q)**(-30\/7)\/(q**6\/(q\/(q*q**(-2\/7)))*q\/(q*q**(-2\/3))*q**(-2\/7)) assuming q is positive.\nAnswer: q**(592\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01193453388 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269 + -618. Let w = s + 365. Solve 4*d + 4*f = -w, 0 = -3*d - 0*d + f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r - 68*r + 2*r**2 + 10*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 7*m**6\/30 - 19*m**5\/20 + 145*m**3\/2 - 85*m + 2. What is the second derivative of a(j) wrt j?\nAnswer: 84*j**2 - 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36352)\/213*((-690)\/40)\/23.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -665242.\nAnswer: -665240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*q + 20*q - q - 3 - 114*q - 32*q as o + m*q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0058 + 0.0277. Let k = 20.0219 - v. Which is the smallest value? (a) k (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 25*l**2 - l - 1. Let i(f) = -f**2 + 16*f - 19. What is the remainder when o(-2) is divided by i(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {v: 2, k: 6, y: 1, i: 2, u: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-132))\/5)\/(1\/(-4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 10*r**2 + 12*r**2 - 2*r**2. Let i(u) = -19*u. Give i(j(b)).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 10*b + 62 = 0, 4 = 3*v - 5*b + 38 - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104238475?\nAnswer: 5, 11, 17, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/490*-7*(-7)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 342480.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 3 - 4*n + 0*n**2 + 0*n**2 + n**2. Determine f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39046103.\nAnswer: 167, 229, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.025 and -2689?\nAnswer: 2688.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 2, f: 1, z: 1}. What is prob of picking 1 f, 1 p, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -271*x**2. Let k(r) = 2*r**2. What is k(z(q))?\nAnswer: 146882*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -2027, -5324, -10131, -16436?\nAnswer: -24227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04176 + -1.95824. What is the closest to 31 in k, -0.3, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*k**2 - 920*k**2 + 42*k**3 + 459*k**2 - 23*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 23. Suppose 4*m - 135 = -o. Suppose -90 = -7*k + 78. What is the least common multiple of m and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/2)\/(1\/(-2)). Suppose -4*q + 71 - 23 = 0. Suppose 12 = 2*z - f*w, 5*z - 4*w = -5*w + q. Solve z + 0 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:36 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -139.06 and 0.07.\nAnswer: -138.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(5\/(-1140)). Suppose -2*v - 50 = -4*h, -5*h - 2*v = -v - 59. Let b = m + h. Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 2*y**3 - 1 + 6*y - 3*y. Is d(1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) -12 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - 15 - ((-146 - -10) + -2))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a - 34. Let p be j(7). What is the greatest common divisor of p and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -w + 4*w. Let a = w - -36. Suppose -15 = 5*s - a*r + 4*r, -4*s - 5*r = 12. Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 - 19*k + 5. Let c(x) = -4*x**2 - 10*x + 3. Let o(i) = -5*c(i) + 3*u(i). Let f = 1 + -7. What is the units digit of o(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 times 0.21?\nAnswer: -48.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2298.8*-1125.\nAnswer: -2586150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 50*f**2 - 377*f + 583. Give d(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -15*i**7\/14 + 37*i**6\/2 - 149*i**5\/2 + 325*i**4\/3 - 60*i**3 + 2801*i. Solve v(w) = 0.\nAnswer: 0, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00103506 to six decimal places.\nAnswer: 0.001035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145.19 * 634.3.\nAnswer: 92094.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + k + 182. Let r(t) = 10*t. Determine o(r(c)).\nAnswer: -300*c**2 + 10*c + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c = -22*c - 212. Suppose -4*w + 3 = k, -4*w + 2*w = 4*k + 16. Suppose w*i = 3*h - i - 159, -h = c*i - 28. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnzznznnnn. What is prob of sequence nnz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-5)\/2) + 7. Suppose w - 5*w - 32 = -4*g, 3*w = p*g - 36. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 285. Let o be c(40). What is the highest common divisor of o and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -175 - 4*p**2 + 175. Let q(h) = -2*h. What is q(k(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -166, -60, 80, 272, 534, 884, 1340?\n\"Answer: 3*c**3 - c**2 + 88*c - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = -4*x - 36, v - 4 = 0. Let k(p) = -p**2 + 13*p + 8. Let w be k(11). Suppose -2*r - w = -0*r. Is x less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99811 + -73261247\/734. Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 737968?\nAnswer: 1475936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {w: 1, g: 2, b: 3, l: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -499.1 * -31.5\nAnswer: 15721.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7894, -31582, -71062, -126334, -197398, -284254?\n\"Answer: -7896*y**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216169505*p**3*t**3 + 155*p*t**3 - 134*p - t**3 - 469*t - 2 wrt p?\nAnswer: 1297017030*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 15 = -7. Let m(f) = -11*f**2 + 24*f - 1. Let h(z) = 2*z**2. Let p(a) = k*h(a) - m(a). Let o be p(8). Solve o - 4 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 - 2) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaaafawddfwdwwfdaaw. Give prob of picking 3 f.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477332 and 61429.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/5 + 27\/5 = 0 for h.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(162)\/(sqrt(45)\/sqrt(180)) - (sqrt(242)*3*-3 + 4)))**2.\nAnswer: -23400*sqrt(2) + 684850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*w + 30825996 = 0, -2*v - 3*w = -9963576 - 20862421. What is v rounded to the nearest one hundred thousand?\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 15, 18, -17, -102?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/66)\/((-1)\/(-436)*2). Suppose -4*g + c = -83. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-10)*(-10)\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*x + 2402 - 20877 - 8849 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*s - 120*s + 14*c = -360*s + 116*s - 96, 12 = -2*c for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 51. Let l(g) = g - 7. Determine l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102327277?\nAnswer: 13, 7871329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1331) - -1*sqrt(1331))**2*6 + 4 + 2*((3*(-1 + sqrt(1331)))**2 - sqrt(1331)))*-5.\nAnswer: -279630 + 2090*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2582 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6665.7 and 2.6?\nAnswer: -17330.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/56 and -36\/175?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296636 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48*40\/2560)\/(4\/16). Let -9\/4*u**2 - 1\/4*u**h - 7\/2*u + 0 = 0. What is u?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/10)\/1 - -1. Let j be ((1 - 0) + -2)*-4. What is the nearest to 1 in -1\/6, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7053 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 231001\/(-7) + 3\/21. Round i to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7002549 is divided by 3501269.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h + 6. Let a(o) = 12*o**2 + 289*o + 18. Let x be a(-24). Let f(y) = 13*y + 5. Give x*q(t) + 7*f(t).\nAnswer: 7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4424 and 9875474?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s + 2. Let h be o(-3). Let w(p) = -2*p**2 + 2. Let x be w(-2). Let l = x + h. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.7 - 782.7. Let g = q + 741.28. What is g rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/21)*v**(3\/5))\/(((v*v**(1\/6)\/v*v)\/v)\/(v*v**2)))**8 assuming v is positive.\nAnswer: v**(1268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 8 = 4*f, -5*f = -5*u - 10. Suppose -j - f*j = -6. Let c be (4 + -1)*(16 + j). Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2\/3 (c) 1 (d) 8\/7 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.03 - -79.6. Let m = -22.56998403 + q. What is m rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 996 = -111. Is c 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 qwqwwwwwqw. What is prob of picking 3 w and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/3))**(-1\/67)*i*(i\/(i**1\/i*i))\/i*i**(-1\/21))**2)**(-2\/29) assuming i is positive.\nAnswer: i**(380\/40803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3686, -7327, -10964, -14597, -18226, -21851?\nAnswer: -25472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 7*u**6\/4 - 9*u**5 + 45*u**4\/8 + 20*u**3 - 9*u**2 + 1931. Suppose t(x) = 0. Calculate x.\nAnswer: -1, 0, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 89*k**2 + 8 - 8*k - 181*k**2 + 100*k**2 + 2*k**3 - 12*k**3. Let o(a) = a**3 - a**2 + a - 1. What is -5*m(s) - 40*o(s)?\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/150 and -29\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) 0.3 (c) -6\/5 (d) -3567 (e) -0.0063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-275)\/(-110).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2357464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 589150.06 to the nearest one hundred.\nAnswer: 589200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 - 4 - (14 - 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qon when three letters picked without replacement from {q: 1, o: 1, c: 4, l: 5, n: 3, s: 4}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/14)\/(-8))\/((-903)\/147).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Suppose 4*v - 8 = -5*y, -4*y + q = -2*v + 4. Find the third derivative of 4*j**4 - 34*j**2 + 0*j**4 + 37*j**v wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-260))\/((-54)\/2016*14)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2)*u**(2\/5)\/u)\/((u**(-2\/5)*u)\/u*u**(-2)*u))\/(((u*u**(-1))\/u)**(5\/9))**(-1) assuming u is positive.\nAnswer: u**(-34\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 22\/15, 82?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 344170271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t**4 + 11*t**4 + 5*t - 2*t**2 - 2*t**4 to z + f*t**4 + x*t + m*t**2 + s*t**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/49 + 4\/49. Factor 12\/7*l**3 - 8\/7*l**2 - 8\/7*l**4 + 2\/7*l + b*l**5 + 0.\nAnswer: 2*l*(l - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + f = 7*w + 55, -f + 41 = -3*w. Let j be ((-8)\/w)\/((-12)\/(-42)). Let p be 9 + 6 + 10\/j. What is the greatest common divisor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1673\/280) + (-3)\/(-5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1557 = 19*z - 1766 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 22666*q**2 - 453352*q\/5.\nAnswer: 2*q*(q - 4)*(q + 56669)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c - -c?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 9) to base 3.\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -44*r**2. Let a(c) be the third derivative of -c**7\/2520 + c**5\/15 + 91*c**2. Let d(h) be the third derivative of a(h). Determine b(d(w)).\nAnswer: -176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1064 + 1240. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12))\/(2 + 10\/6). Let h = 14.052 - 0.052. Let m = h - 14. Which is the closest to m? (a) 0 (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkybykkbnwkky. Give prob of picking 1 k and 2 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1093\/560 + 23\/16. Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 18979*t**3\/2 - 41462*t**2 + 52102*t - 14208 = 0. Calculate t.\nAnswer: 3\/8, 2, 2368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 107. Let k be (-2057)\/(-77) + 6\/21. Let p be v(k). Sort 5, -5, 3, p.\nAnswer: -5, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 + 22*f**2 - 170*f + 1153. Calculate m(7).\nAnswer: 2756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 1, y: 7}. Give prob of picking 1 y, 2 t, and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -602203427*f**2*g**3 + 2*f**2*g - 391178845*f**2 wrt g?\nAnswer: -1806610281*f**2*g**2 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3425\/108 + -521\/27. Let d = 333273 + -5993879\/18. Let y = d - 288. Find the common denominator of y and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1628106, -1 in increasing order.\nAnswer: -3, -1, 1628106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2979*z**2 - 2980*z**2 + 2*z + 2*z - 3*z**2 + 3*z**2 - 2*z**2 + (3*z + z - 3*z)*(0 + 0 - 2*z).\nAnswer: -5*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 1. Let l(o) = -o**3 + 22*o**2 - 22*o + 20. Let f be l(21). Let s(a) = 3*a + 5. What is f*s(t) + 4*r(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*h + 14. Find k such that -16*k**4 + 12*k**3 + 0 + 4*k**5 - h*k + 0 + 16*k**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 1. Let v(n) = 3*n**2 + 10*n + 6. Determine 5*d(y) - v(y).\nAnswer: 2*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/2534 + 5017\/129234. Let w = 0.014 - -2.986. Which is the third smallest value? (a) -2 (b) -4 (c) z (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 - t**2 + 3*t - 3. Let a be w(1). Put -8, 5, -6, a in increasing order.\nAnswer: -8, -6, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71782.801 to the nearest 10.\nAnswer: -71780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -161 - 67. Suppose 2*u = 4*r - 86, -3*r + v = -2*u - 29. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3373\/1860 - 73\/60. Let j = r + -3\/31. What is the third smallest value in -1\/3, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-3\/13)*i*i\/i**20 assuming i is positive.\nAnswer: i**(-205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 24. Let m = n - 2. Let i be (-4)\/3*(14 - 15)\/(-2). What is the nearest to 1 in i, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5012*a + 32. Suppose 0 = 5*j, -2*p + 3*p + 11 = -j. Let l be m(p). What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 525, -17 in ascending order.\nAnswer: -17, 2, 3, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 - 0.04. Let u = 0.01 - 3.01. Which is the third biggest value? (a) 2\/11 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*n + 16, -12*n + 9*n - 2 = v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**7\/t*t)\/(t\/t**(-1)*t*t*t))\/(t\/(t\/t**(2\/7)))**(-2\/93))**(4\/9))**(-1\/10) assuming t is positive.\nAnswer: t**(-2612\/29295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68591068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.028476 milligrams?\nAnswer: 0.000003028476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = g + 15, b = 6*b + 25. Let u be (9\/(-27))\/(3\/(-4)*-2). What is the closest to g in -3, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 37*y + 0*y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11422015.\nAnswer: 5, 11, 207673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1378026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 4*u - 2. Let c = 4 + 0. Calculate the least common multiple of o(c) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892834.3 minutes in nanoseconds?\nAnswer: 53570058000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002496475163 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.5 (c) -1\/15 (d) -4 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 90, 611, 1486, 2721, 4322, 6295, 8646?\n\"Answer: a**3 + 171*a**2 + a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/((-2)\/(-4)). Let n be (12\/(-24))\/(((-6)\/(-9))\/((-12)\/(-9))). Let g = 19 - 18.6. Sort g, n, s, 5.\nAnswer: n, g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 87456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-32))\/((-4)\/(-169108)). Let x = p + 2647. Calculate the common denominator of -11\/6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*z - 54 = 405*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -13*r - 550. Let v be -1312*(r\/(-8) + -7). What is v rounded to the nearest 10?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48784174*j**2 + 1319586 wrt j.\nAnswer: 97568348*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20013 (base 4) in base 7?\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - (-54)\/(-15))\/(2\/(-120)))\/(420\/(-630))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 18*l**2 + 102*l - 395. Let i be s(22). Put 5, i, 18 in ascending order.\nAnswer: i, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 31*g**6\/60 - g**5\/60 + 58*g**3\/3 - 535*g**2. Find the third derivative of w(c) wrt c.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2219 and -34.\nAnswer: -75446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36397007.\nAnswer: 31, 103, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4714510 and 0.3.\nAnswer: 4714510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13222320120 (base 4) to base 9\nAnswer: -3704073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 39*s = -3071. Differentiate -15*u + 117 - 19*u + 3*u - s*u with respect to u.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 + 4. Let y = 2 - 1.6. Let n = y + r. Is -3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 55 = 5*p, -2*p - q - 20 + 2 = 0. Let w(d) = d**3 + 6*d**2 + 5*d - 7. Let u be w(-5). Is p equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11413 - 12151.7. What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -9, -2, 240 in descending order.\nAnswer: 240, 3, 1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - 11*q. Let p(f) = -17*f**2 - 23*f. Let h(y) = 5*y**2 - 169*y + 683. Let i be h(29). Determine i*d(o) + 6*p(o).\nAnswer: 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3927386950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24d (base 15) in base 8?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {t: 4, w: 3, q: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(247\/26)*(297\/(-234))\/(-11)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from mvmvzgmmvmmgpggm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 - -661.2. What is the closest to -0.028 in -5, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345365689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 + 475*p + 5952. Calculate r(-28).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 9. Let x(f) = f - 3. Let b be x(6). Let u be (12\/15)\/(2\/5). Let h(w) = -u + 2*w + 3 + 4. Give b*n(v) - 5*h(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 168. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let s(w) = -2*w - 2. Let c be s(-2). Let g be (c\/4)\/(1\/10). Solve y*r + g = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (453 - 453 + 20*d)*(-1125*d + 1125*d + 41*d**2) to r*d**2 + p*d + t*d**3 + k and give t.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*p - 10, -2*m - 25 = -3*m + 5*p. Suppose -2*l + 423 = x, m = -2*l - 0*x + 3*x + 419. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.597 + 2?\nAnswer: -36.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2 + 64160*b + 205825280 = 0.\nAnswer: -6416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -268199, -267967, -267735, -267503, -267271, -267039?\n\"Answer: 232*s - 268431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2005?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 6\/5*d**2 - 8\/5 + 2\/5*d**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/373 + 3347\/1865. Solve -p*t**2 + 2\/5 - 7\/5*t = 0 for t.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301439?\nAnswer: 37, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-408)\/340*(-10)\/8. Put -123, i, -0.1 in increasing order.\nAnswer: -123, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 less than -6363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36853687 to the power of 1\/2, to the nearest integer?\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(688\/336) - (-22 + 117)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -1.7. Let t = m - -2. Suppose 0 = -5*v - 2*x + 15, 2 = -x - 3. Sort t, v, -2\/15 in decreasing order.\nAnswer: v, t, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30022122102 (base 4) in base 3?\nAnswer: -12222222121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226129653*n - 452259306*n + 226129656*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145885 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1291332460411849 + -5861358156412757326\/4539. Let c = -26129847 - a. Let k = c - -1\/267. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3317194342 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*z - 125*z - 1577 = 47 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(66)*3*-1)\/((1*sqrt(486) + sqrt(486) - sqrt(6))*-3).\nAnswer: -2*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-35)\/7*(-14 - 0). Let n = -46 + r. Let z(t) = 2*t**2 + 1. Let m be z(1). What is the greatest common divisor of n and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2332\/(-5247))\/(14\/(-9)))\/(((-22)\/14)\/(-1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -3 - 3) + 9. Suppose v = -3*n - 324, h*n - 3*n = -v - 542. What is n rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/15 + ((-2548)\/56)\/((-10)\/4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 0 + 3 + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.629512 months in years?\nAnswer: 1.719126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/10))\/p**12*(p**(5\/3)\/p)**(-4\/27) assuming p is positive.\nAnswer: p**(-8909\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Suppose -3*i + 8*i = -5. Let y be j(i). Suppose 32 = 2*f + 5*w, -8 = -y*f - w + 8. Solve 0 = -3*k + f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 495 + -336. What are the prime factors of f?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -3*z**5\/80 + 91*z**4\/8 - 1012*z**3 - 6348*z**2 - 1529*z. Let x(l) = 0. Calculate l.\nAnswer: -2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 28*f - 378. Suppose -5*h = 10, -a + 9*h = 4*h - f. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**21*t**(-17\/2) assuming t is positive.\nAnswer: t**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 20, 3*j + 0*d + 17 = -2*d. Let t(r) be the first derivative of r**2 - 3*r + 2. Let x be t(3). Put j, 4, x in increasing order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168426 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*g*u + 4200*g wrt u.\nAnswer: 77*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248067423 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -497?\nAnswer: 248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-7))\/(106\/7420*10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/31)\/g)\/g*g*g\/(g**42\/g)*(g*g*g*g**(-36)*g)**(-34))**7 assuming g is positive.\nAnswer: g**(227185\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 + 15. Let s = i + -2.1. Let h = s + 1.7. Which is the biggest value? (a) -1\/2 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h - 1308 = 165*h + 223*h + 4188 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(85 + -82 + 5\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 449.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -u - 7, -5*k + 0*u + 4*u - 2 = 0. Let s be (6\/9)\/(k\/54). Calculate the greatest common divisor of 126 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760704272 and 6320.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 10*k + 17*k)*(3*k - k + k) + 2 - 2 - 2*k**2 + (-3*k - 3*k + 5*k)*(0 + k + 0) as m*k**2 + p*k + b and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:28 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/18)\/(3\/27). Suppose -r*w + 26 = -5*c, 2*w = -2*c - 0*c - 2. Let t(i) = i. Let p(k) = -3*k + 2. Give c*t(l) - p(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {i: 1, n: 1, h: 1, g: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 139. Let x be b(0). Let d = -74 - x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1668*h**3*r - 17584*h**3 - 143*h*r + 94*h - 136*r - 1 wrt h?\nAnswer: 10008*h*r - 105504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 10 - -14) + 5 + -12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b70 + 4?\nAnswer: b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3108 + 2329. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198 - 205. Let t be ((-15)\/(-105))\/((-2)\/s). Which is the smallest value? (a) -56 (b) -0.2 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731032?\nAnswer: 2, 23, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 907.1571l?\nAnswer: 907157.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52159 is divided by 621?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -846 + 599. Let g = o + 285.2. What is g rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**2 + 3*q + 1. Let c be t(-3). Is 32 a factor of 1 - (3 - 2 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24786 - 1.24786. What is the smallest value in 105, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/6 + (1 - 3 - -4). Solve l*n - 2*x = -10, x - 4 = -2*n - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 14. Let w be x(19). Suppose -u + w*u - 468 = 0. What is the remainder when u is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 128 = -3*b. Suppose b*g = 3*g. Solve g = -t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7 + -7. Let h = -0.6 - r. Let q = 0.8 + -2.8. Which is the smallest value? (a) h (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2074370, -2074373, -2074380, -2074391, -2074406, -2074425, -2074448?\nAnswer: -2074475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1985, -1978, -1967, -1952, -1933?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24*g**2. Let q(h) be the first derivative of -h**4\/24 - 4*h**2 + 5. Let w(r) be the second derivative of q(r). Calculate w(n(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 5:04 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 10*w + 11958. Let m(b) = 3*b**2. Give l(m(t)).\nAnswer: -9*t**4 - 30*t**2 + 11958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3956 and 23\/215.\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15877?\nAnswer: 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/3 - 16*c**4 - 46*c**3\/3.\nAnswer: -2*c**3*(c + 1)*(c + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -0.23. Let m = w + -12.14. Let v = m + 8.7. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = 20. Let i be 1 - 1 - a\/225*-6. Sort 4, i, -5 in descending order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 2*l - 5*y, 5*l - 2*y - 871 = 132. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + h - 37*h + 1017 = -2553 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 4.3. Which is the closest to 1? (a) -6 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9749 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.111, 4, -0.4, -10, -2, 3\/2, 1824?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(5) + 3)*-6 + sqrt(5).\nAnswer: -17 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/108)\/(152\/(-114))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1)*(-163*u - 148*u + 358*u) + 4*u**2 + u - u as q + d*u**2 + m*u and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4161 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 = -6. Solve 0 = -g + n*a + 18, a - 2 = -3*g + 3*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + d + 3. Let o be x(0). Let k be (-4)\/(24\/9)*-4. Let t(m) = -2*m - o*m + k*m. Let u(y) = 2*y. Calculate t(u(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -168997 less than -1.564409?\nAnswer: 168995.435591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**3 - 17*t**4 + 15*t**3 + (11 + 22 - 19)*(-t**4 + t**4 + 5*t**4) to f*t**4 + j*t + v*t**3 + n*t**2 + u and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-319))\/(((-1368)\/11)\/38)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4103191 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8484 and 2078097.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -3*u**4\/8 + 11*u**3\/6 - 20*u**2. Find the first derivative of v(h) wrt h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 187\/51. Let l = -19 - c. Is ((-6372)\/l + 2)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.99 + -0.01. Let t = 5 + 183. Let d = t - 942\/5. What is the nearest to x in 7, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5015, 4298, 3581, 2864?\n\"Answer: -717*g + 5732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*i + 6, -4*i = -2*w - i + 14. Let y = w - -2. Let g be y*(2\/(-6))\/1. Let m(d) = -7*d**2 - d - 1. Give m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 - q - 1. Let t(c) be the second derivative of -c**3\/6 - 4*c. Let u be t(-2). What is m(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-2)\/18. Let k = -47660 - -428942\/9. Which is the biggest value? (a) i (b) k (c) -1\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-24)\/(-230)*(-1367)\/(-8202)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 5, 21\/2, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0184 + 0.0816. Which is the third biggest value? (a) r (b) -4\/141 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-4))\/(1*7\/(-28)). Suppose 32189 = -i*n + 5144. Round n to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1234 + 1292. What is the least common multiple of 174 and y?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, -1.75, -5, -1 in decreasing order.\nAnswer: -3\/16, -1, -1.75, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9752586427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307915 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k**2 + 41*k**2 - 286*k**2.\nAnswer: -278*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1\/3 (c) 2\/15 (d) -0.1 (e) -0.3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 4. Solve -t + 3*s = -s + x, 0 = 5*t - 3*s + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5 - 0. Let v = 2 + j. Let x = -0.6 + 0.2. What is the closest to -2\/3 in x, v, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 980, 3580, 8630, 16946, 29344, 46640?\nAnswer: 69650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-87)\/12 - -7 - -1. Let f be 2\/3 + 7\/(-15). Sort f, l, 1.\nAnswer: f, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7) + -25*4\/(-420).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 32*a - 35 + 2*a - a - 4*a + (-5 + 0 + 3)*(5*a - 3*a - a))*(5 - 26 + 12) in the form b + k*a and give k.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000067698 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.1101 + -0.08909. Let f = -0.053 + -6.147. Let y = f - v. What is y rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 624*k - 79*k - 1635 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97499223637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.5 (c) 1 (d) -0.03 (e) 28\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296979, -296980, -296981?\nAnswer: -296982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-354235)\/5133 + 51 + (1 - -17))*-3.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 530 = 91. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -731 + 731.5. Let j = -0.1 - -1.1. Let l(p) = 7*p**2 + 2*p + 1. Let w be l(-1). Which is the nearest to w? (a) j (b) f (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 94*q - 958. Determine m(14).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4094328 and 13\/554?\nAnswer: 1134128856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 6. Let b(c) = 4*c + 237. Calculate -b(l) - 5*v(l).\nAnswer: l - 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12538 + 87764\/7. Let u = -95\/9 - -31\/3. Let x = -5.97 + -0.03. Which is the closest to o? (a) 0.4 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -22090?\nAnswer: -1\/11045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 304687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s = -3*f + 61*s - 39, 0 = -5*f + 8*s - 98 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/42)\/((-12)\/(-234)*3). Let a = -3\/28 - f. Let i be (-14)\/(-4) - (12 - 8). What is the closest to -2\/3 in a, -1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x\/(x\/(x\/x**(-1)))*x)\/x)*x*x*x*x)\/x)**(16\/5))**13 assuming x is positive.\nAnswer: x**(624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 33*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4703742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -1b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let g(f) = -10*f**3 + 18*f + 18. Suppose -10 = 2*x - 3*w - 3, -3*x = 5*w + 1. What is x*g(p) - 36*i(p)?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061, -3978, -3859, -3686, -3441?\nAnswer: -3106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -31. Suppose 0 = 4*a + 2*d - q, 3*a + 0 = 5*d - 9. Suppose a*f - 4*f = -132. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**2 - 3*y**2 + 8*y**3 + 3*y**4 - 20*y**3 - 12*y + 3 + 12*y**2 = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9875.611 and 4.\nAnswer: 39502.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133, 517, 1155, 2047?\n\"Answer: 127*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*(-30870)\/(-39). Suppose 371 = -15*b - 3589. Let y = x - b. What is the closest to 0.4 in 5, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4\/5 + 1444*x**3\/5 + 73496*x**2\/5 + 677024*x\/5 + 1623552\/5 = 0?\nAnswer: -302, -48, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -111, -127, -147, -171, -199?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 7*k**5\/60 + k**4\/12 + 16*k**2. Let w(z) = -2*z. Calculate s(w(q)).\nAnswer: 28*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - k - 74. Let i(o) = -3*o**2 - 74. Calculate 6*f(h) - 5*i(h).\nAnswer: 3*h**2 - 6*h - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(24696\/245))\/(5\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-120)\/(-90). Let w(c) = c**3 - c**2 + c + 1. Let n(t) = -5*t**3 + 3*t**2 - 5*t + 4. Let a(x) = -n(x) - w(x). Does 4 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 30219387421?\nAnswer: 30219387420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpo when three letters picked without replacement from {o: 6, p: 1, n: 6, r: 3, x: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o**2 - 8*o**2 - 39*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1519059613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 7. Let o be c(5). Let d(j) be the first derivative of -2 - 2*j**o + 1 + 5 - 2. Calculate d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509796 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 10 = -2*u. Suppose -u*w = -0*w. Suppose -2*y + 29 = 3*y - 2*t, -5*t + 36 = 3*y. Solve 0 = o - 3*p - 13, w = -2*o + 3*o + p + y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-80)\/(-50))\/(-4)*(1 - -119). Let q = -31 - f. Let o = -6 + 27. Solve -g = 2*u + 2*u + q, -5*g = 4*u + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 13*j**2 + 7*j - 4. Let a be d(6). Suppose 2*g = 4*g + 258. Let c = g + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 68?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1803*h - 27052. Give g(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20496 and 27\/854?\nAnswer: 20496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2318*j*n + j + 51139*n wrt j.\nAnswer: 2318*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 6*k**7\/35 + k**4\/24 + 11*k**3\/6 + 7*k**2. Find the second derivative of f(y) wrt y.\nAnswer: 432*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2822183 is divided by 684.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 6318 = 2*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 17. What is t(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2510.3756 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*v**2 + 14*v - 14*v)*(4*v - 4*v + v**2 + 2 - 2 + 2*v**2 + (-2*v + 2 - 2)*(0 + 0 - v) + 0 + 0 - 2*v**2).\nAnswer: 51*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4\/3, -0.7, 2\/5, -1, -38?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -c - 12. Suppose -455 = -c*g + 230. Calculate the remainder when g is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 69. Let w = -43 - u. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19873352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**3 - 181*k**3 + 7 + 31*k**2 - 7.\nAnswer: -206*k**3 + 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h + 596. Let s(l) = -4*l. Calculate s(u(d)).\nAnswer: 100*d - 2384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-1)\/(-2))\/(2\/24). Let m be (14 + -11)\/(x\/14). Suppose y + a = 1, 0 = 2*y - 3*a - 2*a + 5. Solve y = -5*n + 4*h + 1, -5*h - 27 + m = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 44, -13\/14 in descending order.\nAnswer: 44, 0, -13\/14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1224*q**5\/5 + 12518*q**4\/5 - 85456*q**3\/15 + 17554*q**2\/15 - 28*q\/5 = 0.\nAnswer: 0, 1\/204, 2\/9, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 32956?\nAnswer: 593208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 157*c - 7393. Calculate g(38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4366438757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 - 3*a - 7. Suppose 0 = -3*f + f. Suppose i - 4*i = 2*d - 3, f = -2*d + 3*i - 27. Is b(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 6*g + 42, -23182*g + 7 = -23186*g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -12938, -373 in decreasing order.\nAnswer: 11, -373, -12938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*r + 3*d + 41, 5*r + 5*d + 95 = 0. Let v be ((-27)\/3)\/((-4)\/r). Let p = v + 102. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188760*m**3 + 169*m + 19.\nAnswer: -1132560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 8. Let s(a) = 2 - d + 2*a + a**3 - 6*a**2. Let l be 215\/258 + 10\/(-12) - -5. Give s(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 57, 200, 473, 918, 1577?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 26 (c) -76 (d) -310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*w + 82*w - 44 = 0. Let s = -248 + 215. Sort -1, s, w in decreasing order.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x - 2. Let v be d(-2). Suppose -2*s + 3 = -1. Sort v, 0, s in increasing order.\nAnswer: v, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkogggg. Give prob of sequence ogk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 4*l + 3. Let y be o(2). Let k be (1\/6)\/(1\/y). Let f(n) = n**3 - 7*n**2 + 5*n + 5. Let w be f(6). Does k = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddongsgxgxnddndx. What is prob of picking 1 s, 1 n, and 1 g?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219.2 + -163.2. What is the second biggest value in 8, s, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8440363 and 90683?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -0.3, -2272, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6679.896 - -6680. Let r be ((-1)\/4)\/((-6)\/40) - 1. Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 6)\/1*-1. Is 8\/(-12)*1356\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 579*k**2 + 17*k - 15. Let h(n) = 289*n**2 + 8*n - 7. Let i(z) = 13*h(z) - 6*o(z). Is i(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + 4*d**2 + 8*d + 3. Let g be v(-3). Solve -g*m = -147*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10001001100001100?\nAnswer: 10001001100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i - 4 = -q, 0 = -3*q + 12. Let v = i + 4. Suppose -38 = -v*s + 3*s + p, -3*s + 4*p + 119 = 0. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 28*h + 5. Give r(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 4, -13, 0, 5\/101 in decreasing order.\nAnswer: 4, 2, 5\/101, 0, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -106, -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 v when three letters picked without replacement from vyvvvyvevyyev.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9 - 10 - v - 13. Let x(r) = r + 12. Let s(u) = -7*x(u) - 6*y(u). Let o(q) = 32*q**2. Calculate o(s(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2607 = 10*o - 693. Calculate the remainder when o is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*-4 + sqrt(17))**2*-4.\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.013 - -20.687. Let p = w - 17.7. What is the biggest value in 0.1, -3\/14, 2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/30 + 17*o**4\/24 + 4*o**3\/3 + 13*o**2 - 2*o. Does 17 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 7, i: 5}. Give prob of picking 1 i and 1 n.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 2863184?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*r + 196*r + 21*r - 10139283. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - 0 - ((16 - 20 - 21) + -3 - -21).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348438 is divided by 30646.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4300 (base 5) to base 6.\nAnswer: -2355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18408136205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, v: 2}. Give prob of sequence qqv.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*t + 22, -1238*t + 20 = -1243*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -x. Let w be (-1)\/(-5) - (-14)\/x. Solve -j = -w*q + 5 + 7, 4*q = 4*j + 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 13. Suppose -3*f - 5 = -20. Suppose f*i + x*y = y + 20, 4*i + y = 16. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.2, 4, 0, 5, -0.6, -9.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16\/11 - -29\/22. Let w(o) = 2*o - 7. Suppose k + 2 + 6 = b, k = -5. Let z be w(b). Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*q - 2, -2*q - 3*y = -2*y + 1. Let z = -6 + 8. What is n in 1\/3*n**3 + q + 0*n + 1\/3*n**z = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:50 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4224 and -127\/1152.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 17*q**3 + 5*q**2 - 3*q + 17. Let i(v) = -2*v**3 + v**2 - v + 2. Let l(g) = -b(g) + 3*i(g). What is the derivative of l(k) wrt k?\nAnswer: -69*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1865612 and 51\/133258?\nAnswer: 1865612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23852 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261501451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + 11971*r + 11972. Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 9 - 12. Let u be ((-26)\/(-7) - 4\/(-14))\/f. Sort -3, -1, u in decreasing order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 268.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/(q*q**(4\/5)))\/(q**(-1))**(1\/5))\/(q**(-6\/11)\/(q**(-3)*q))**35 assuming q is positive.\nAnswer: q**(-3218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 143146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 4*n + 35. Suppose -5*a = -85*a + 880. Let h(o) = 6*o**2 - 11*o - 104. Calculate a*d(v) + 4*h(v).\nAnswer: 2*v**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3136, 2964, 2678, 2278?\n\"Answer: -57*t**2 - t + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from {x: 1, d: 1, f: 2, g: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102828 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u - 1. Suppose 5*i = -2*f - 7, -4*f - i + 3 = -10. Suppose 0 = 3*j - 5*j - f. Does 15 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 0*u**4 + 3*u**4)*(10*u + 6*u - 4*u) - 52*u**5 + 15*u**4 + 25*u**4 + 50*u**5.\nAnswer: 34*u**5 + 40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893.75 years in centuries?\nAnswer: 48.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469595?\nAnswer: 5, 7, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1296649 = -1296651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23550059?\nAnswer: 13, 29, 62467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3103*y - 89. Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:12 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 214, 486, 878, 1396, 2046?\n\"Answer: c**3 + 51*c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*3640\/(-260).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 23163 - 28815 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(168\/770)\/4\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 10*n**2 - 7*n + 9. Let v(j) = j**2 - j + 1. Let u(i) = -m(i) + 6*v(i). Determine u(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 1, e: 1, c: 1, f: 1, j: 2}. Give prob of sequence cfex.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92091 * -0.2.\nAnswer: -18418.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2. Let t(h) = 2*h + 890. Give w(t(c)).\nAnswer: -36*c**2 - 32040*c - 7128900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1547604?\nAnswer: 1547607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-38 - (-40 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 11332312*a + 56661660.\nAnswer: -4*(a - 2833083)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(55)\/sqrt(5)))\/(-6*sqrt(15)\/sqrt(5)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3135 and -51\/2?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/9 - (-4)\/12 - -3. Suppose -2*b - 2*p + 4*p = -126, x = -2*p + 2. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -296 + 2036. Calculate the remainder when 270 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403.87 + 351.1. Let o = -1.23 + v. Let w = 54.5 + o. Which is the third smallest value? (a) 2\/7 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 4, d: 1, i: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28109.9 + -26867. Round q to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 350.3872 nanometers?\nAnswer: 0.0003503872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/325*55 - (-19 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Let m be f(-3). Suppose -755 = -2*z + 3*t, 3*z - m*t - t = 1137. Let l = 297 + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240866 is divided by 1554.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-62)\/(-3) - 0) + 12\/(-18). Suppose -2*o = 0, 5*o + a = 2*i + 8*o. Calculate the lowest common multiple of 8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7429 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 90 + 51. What is the closest to 8 in 5, t, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a**2. Let y(m) be the third derivative of -m**7\/280 + 107*m**5\/60 - 62*m**2. Let v(c) be the third derivative of y(c). Give v(w(o)).\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**3 + 226*d - 226*d - 1 - 241*d**2.\nAnswer: 14*d**3 - 241*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 1313, 2246, 3551, 5228, 7277?\nAnswer: 9698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10467*f**5 - 5*f**2 - 93*f + 1 wrt f.\nAnswer: 628020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 65854\nAnswer: 65862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = 0. Suppose -3*z - 57 + 69 = p. Suppose 2*s + 4*j - 56 = 0, z*s - j - j = 162. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - 3. Let k = n - -6. Suppose -4*d - 13 = -2*p + 7, -5*p + k = 5*d. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*b**2 + 59*b**2 + 49*b**2 - 33*b**2 - 806*b + 807*b.\nAnswer: 219*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 4. Let n be y(-7). Suppose -2*k - k = 4*h - n, -19 = -4*k - h. Suppose z = 3*d - 9, -5*z = -k*d + 3 + 22. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25505 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51c46 + -5?\nAnswer: 51c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 + 2*h**2 - h - 5. Give g(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1434, -2866, -4298?\n\"Answer: -1432*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - 27*p - 26*p - 3*p - 15*p + 137*p - 32*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + -5)*(-2 + 46\/3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 2*m**2 + 5*m**3 + 2*m**2 - 13*m**3.\nAnswer: 4*m**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509487397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81451046?\nAnswer: 2, 17, 101, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*1380\nAnswer: -579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 576?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 405890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 77*n - 104 = -15*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -35*j**3\/6 + 9*j**2\/2 + 6*j. Let z be d(7). Let o = -132 - z. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 44382756*a\/5 - 164152419179628\/5.\nAnswer: -3*(a - 7397126)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 12170\nAnswer: -3651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -3, 11 in decreasing order.\nAnswer: 11, 3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 22*d**2 + 77*d + 139. Calculate h(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -626*j**4 + 914 with respect to j.\nAnswer: -2504*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21 = -5*j, -4*j - 12 = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/(-16))\/7)\/((-66)\/528)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -19. Is -17*(-2)\/(4\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q**2 - 16982604*q + 16982612 = 0.\nAnswer: -4245653\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10561, -13523, -16475, -19417, -22349?\nAnswer: -25271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 5532633?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a factor of 3498005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*t**4 + 7*t**3 - 508*t**2?\nAnswer: -7464*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 191909?\nAnswer: 191913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303852045 + 303852045 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-6) - 4\/12. Suppose k - 12 = -5*z, 0 = -4*z - 4*k + 2*k + w. Suppose y - 4 + z = 0. Sort 0, y, 3 in descending order.\nAnswer: 3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534\/31447 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 10) to base 3.\nAnswer: -21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 - 4231?\nAnswer: -4146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:16 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = l + 7*l. Suppose 162 - 12 = 5*s. Suppose 7*b - s = 2*b. Calculate the remainder when b is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:22 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25371068869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -4 + 0 + 2. Let c(w) = 2*w**2 - 2*w + 4. Let t(l) = -1. Give f*t(d) + c(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 471.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 36 - (-7 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7353060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161.\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 20, 125, 0, -1, -2 in ascending order.\nAnswer: -110, -2, -1, 0, 20, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 3787*y**2 + 37746*y + 90648.\nAnswer: (y - 3777)*(y - 12)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -38*k - 17. Let i(w) = -92*w - 42. Let f(q) = -5*i(q) + 12*s(q). What is f(-13)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (3 + (-4 - -2)). Suppose -w - 3 = t, 2*t - 177 = -w - 184. Put w, 0, d in ascending order.\nAnswer: 0, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1b?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4557 times 0.09552?\nAnswer: -435.28464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w**5 + 6390*w**4 + 2635*w**3 - 19120*w**2 - 20460*w - 5120 = 0 for w.\nAnswer: -1, -2\/5, 2, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + -1 - sqrt(17))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1183 or 1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + 63*u - 15. Let h be d(-13). Solve -2*i + 0*y + y + h = 0, 9 = -3*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(98) + sqrt(98))*5 + ((sqrt(98) - (1 + sqrt(98))) + 1 - sqrt(98)) + 4 + -6*(sqrt(98)*4 + sqrt(98))))**2.\nAnswer: -95256*sqrt(2) + 1558764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z + 12 = 85*z. Let m(w) be the third derivative of w**4\/24 + 2*w**3 + 3*w**2. Let b be m(-10). Solve b = -q + z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -46.\nAnswer: -15\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280*j**4 - 360*j**4 - 152*j**3 + 152*j**3 + 726 wrt j.\nAnswer: -2560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - 2*t)*(-35*t - 3*t - 17*t) + (5*t - 3*t - t)*(6*t - 2*t - 3*t).\nAnswer: -109*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 30 = l. Suppose -l*c + 2358 = -4*c. Let q = -115 + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5483, -10938, -16387, -21830, -27267, -32698?\n\"Answer: 3*i**2 - 5464*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 4, 125409, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 35 + 24 - 97 - 26*v + 26.\nAnswer: 2*v**3 - 26*v - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 115. Let n = 10 - o. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6684092 is divided by 1576?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4279*n - 5*i = -4278*n + 15, -2*i - 6 = -3*n. Factor 243\/5*j - 54\/5*j**2 + n + 3\/5*j**3.\nAnswer: 3*j*(j - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {i: 1, j: 2, f: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934 + 864*k - 17*k**2 - 908 - 864*k.\nAnswer: -17*k**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19980.437 + 19967. Round x to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**6\/40 - 3*r**5\/16 - 9*r**4\/16 - 7*r**3\/8 - 3*r**2\/4 - 55*r. Factor x(f).\nAnswer: -3*(f + 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.7, -0.029, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -323. Calculate the smallest common multiple of 195 and z.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/1260 - v**4\/12 - 3*v**2 + 14. Let k(o) be the second derivative of z(o). Let l(i) = 94*i. Calculate k(l(s)).\nAnswer: 17672*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 4884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -570c?\nAnswer: 5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31182199, 31182198, 31182197, 31182196, 31182195?\n\"Answer: -l + 31182200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (364\/221)\/((-208)\/(-7072)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 12. Let x be o(5). Suppose x*z + 8 = -h + 3*h, 0 = 3*z - 5*h + 20. Which is the third biggest value? (a) z (b) -0.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.6. Suppose -2*f - 1 - 5 = 0. Which is the smallest value? (a) w (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2.629.\nAnswer: -5.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 514, -5, 3, -4 in increasing order.\nAnswer: -5, -4, 3, 5, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a*a**(-4\/5)*a))*a*a\/(a**7\/a))**9)**(-1\/26))**37 assuming a is positive.\nAnswer: a**(2997\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329307.\nAnswer: 3, 11, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 6\/13, -61.9 in ascending order.\nAnswer: -61.9, 2\/17, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 440255311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -3797939 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -1\/24*o**4 + 0 + 19*o**2 + 0*o**3 - 2*o + 13\/120*o**5. Find g such that p(g) = 0.\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yki when three letters picked without replacement from {k: 1, i: 1, c: 1, a: 4, y: 4, w: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**2 - 317*m - 820. Calculate u(-28).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + 1 + 2 + 18\/(-6). Let m be (-465)\/h + (3 - (-39)\/(-12)). Let o = 127 + m. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3897 + 3896.999988192. Round h to 7 decimal places.\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102.7 times 19.2815\nAnswer: 1980.21005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745.23675 rounded to the nearest 10?\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45412971?\nAnswer: 3, 23, 658159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*h = 56, 5*c + 116 = 5*h - 149. Does 11 divide 0\/(-2) - 4 - (c + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 22*p + 61. Let h be o(-33). Let z = 305 + h. Solve -z*n = 3*w + 6, -6 = 4*w - w - 3*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188297440 minus -36.7?\nAnswer: -188297403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*16\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -12*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2378, -4782, -7186, -9590, -11994?\nAnswer: -14398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 240601 + 1?\nAnswer: 240602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -18, -0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 - 6*a**2 - 17*a + 85. Is y(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71105, 71098, 71087, 71072, 71053, 71030, 71003?\nAnswer: 70972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2477, -18305, -61289, -145007, -283037, -488957?\nAnswer: -776345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 6690*d + 2108200.\nAnswer: 5*(d - 830)*(d - 508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 11*n + 2. Let b(u) be the third derivative of u**5\/20 + 5*u**4\/12 + u**3\/2 + 12*u**2. Let l be b(-4). List the prime factors of w(l).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 511451.00941 and 0.3878.\nAnswer: 511451.39721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056384 to 6 dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 0*n**2 - n**3 - 2*n**2 + 9 in the form i + d*n + y*n**2 + w*n**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22040240 (base 6) to base 2\nAnswer: -10100000110000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 45*a**2 + 360*a - 18785. Calculate r(46).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 6) to base 11\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 + 0.23. Let r = -3.5 + -0.5. What is the closest to -0.1 in r, -2\/17, v?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 - (1 + -1*5). Let w be ((-24)\/(-30))\/(p\/(105\/(-6))). Let o(g) = 3*g**2 - 2*g - 1. Let z(t) = 13*t**2 - 8*t - 4. Determine w*z(b) + 9*o(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8057 divided by 1?\nAnswer: -8057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7 + 9. What is the smallest common multiple of s and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 2. Suppose 31*i - 32*i - 3 = 0. Let q(p) = 9*p - 4. Give i*q(f) - 7*d(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 - 353 = -62*v + 462 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:38 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v + 1\/6*v**3 + 0*v**2 - 86667\/4*v**4 + 0. Let t be j(1). Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n - 136. What are the prime factors of h(35)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(342) + sqrt(38))\/(-2*(sqrt(2) + -1*sqrt(2) + sqrt(2) + sqrt(2)))*-3.\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -80. Let u = f + -78. Which is the third smallest value? (a) u (b) -0.3 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 93, 97?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -2, 0.34, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 814, 810, 796, 766, 714, 634?\n\"Answer: -b**3 + b**2 + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 + o**2 + 6. Let x(n) = -5 + 3*n**2 - 4*n**3 - 2*n**2 + 0*n**3 - 2*n**2. Let h be ((7 - -8) + -8)\/(-1). What is h*x(g) - 6*u(g)?\nAnswer: -2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12) - 38\/(-6). Suppose 0 = n + 4*k - 3 - 3, 0 = -3*k - w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + ((-12)\/8)\/((-3)\/(-6)). Let y be -36*(22\/w - 2\/1). Suppose 0 = 5*c - 14*c + y. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*v - 12256 + 12263 + 40*v)*(v + 4*v - 4*v).\nAnswer: 89*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(44)\/sqrt(36)) - sqrt(70)\/sqrt(360)*-2.\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -s + 4*c + 12, -3*c = 2*s + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 16. Suppose c = 5*c - g. Let y = -2 + c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-285))\/(-7 - (-41)\/6)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8929961 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((297\/180)\/(-11))\/((6\/15)\/(-17 + 30))?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -7. Let t = a + -45. Let o = t + 21.999964. What is o rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43448, -86916, -130384, -173852, -217320, -260788?\n\"Answer: -43468*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14079.00006201 + 14079. What is l rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - z = z + 185, -3*h = 5*z - 157. Let g = 41 - 36. Suppose p - g*f - h = 1, -4*f = -p + 64. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.118187 + -2005656.62.\nAnswer: -2005656.501813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560*d**2 + 9*d + 37*d**2 - 5*d - 4*d.\nAnswer: 597*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + -3 + (-195)\/(-54) and -67\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 39\/(-6) - 518161\/(-158)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 27934.\nAnswer: 2765466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 362, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(576\/2160)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q + 294 = 85*q + 41 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpxlflxpfxlxx. Give prob of picking 4 l.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-115)*-1 + (-5)\/15. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -49, -69, -89, -109?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 55\/12*r**4 + 5\/6*r**3 - r**2 + 0*r. Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 + 110. Let d = o - -109. Solve 4*w = -w + 3*v - d, -4*v = 4*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zecceccczezcz. What is prob of sequence cz?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*x - 6 + 67*x + 51*x - 52*x + 3 to the form l + c*x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Let f be (1 - 30)\/(t\/(-5)). Suppose 0 = -2*w + 41 + f. Calculate the greatest common factor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-10) + 6\/(-15). Let i = -2 + x. Let c be (-3)\/(-3)*(0 - 0). Solve c = -5*f - g + 23, i*f + 2*g - 18 = 6*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29651*g**2 - 3*g**3 - 54*g + 55*g - 29648*g**2 + 2 + 4*g**4 - 2 as z*g + k*g**3 + i*g**2 + l*g**4 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10101001?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10370884*s**2 - 5*s**3 + 10370884*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 31*i - 274 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mwqwwwwwwqwmmww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjlssms. What is prob of sequence spj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 11*a**2 - 113)*(6*a**2 + 0*a**2 - 4*a**2 + 5*a**2 - 2*a**2 - 4*a**2 + (-3 + 3 + 2*a)*(-2*a + 5*a - 2*a)).\nAnswer: -33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j - 13*j - 224 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*456\/(-8)*(-70)\/560*(-8)\/6\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2227747, 2227674, 2227601, 2227528, 2227455?\n\"Answer: -73*i + 2227820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027502 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 8. Let q be b(6). Suppose -5*j - 5*g = 0, -q*g - 24 = -3*j + 3*g. Find the first derivative of 3*h**2 + 4 - 3*h**2 - 7*h**3 + 3*h**j wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*r*s**2*x**2 + 60*r*s**2 + 2*r*s + r*x**2 - 4*r wrt x?\nAnswer: 20*r*s**2*x + 2*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19975, 17938, 15903, 13870, 11839?\nAnswer: 9810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*(-15)\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (20 + -5 + 1) - 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -2669\nAnswer: -11\/2669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 83266 (base 15) to base 11\nAnswer: 264333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 949*v**3 - 888*v**2 + 806*v**3 - 387*v**3 + 889*v**2 to w*v + u*v**3 + y*v**2 + o and give u.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -19.1\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 0*n + 33*n to y*n + g and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21098791535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470 and 470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 6, c: 8, l: 2}. Give prob of sequence ctk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 120. Let l = k - -81. Let r(p) = -2*p + 23. Let h be r(0). What is the greatest common factor of l and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/(-172)) - -1. Suppose 3*h + g = 264. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2556632 and 18544?\nAnswer: 97152016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 6. Let g(q) = 12*q - 48. Let t(o) = g(o) + 8*u(o). Let z(h) = -3*h - 21. What is t(z(p))?\nAnswer: -12*p - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2 + 1557*w + 20748 = 0.\nAnswer: -13, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1310261272, -1310261274, -1310261276?\n\"Answer: -2*q - 1310261270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580608 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4 - 4*d**3 + 350. Factor y(b).\nAnswer: 4*b**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrf when three letters picked without replacement from {y: 3, r: 2, t: 2, s: 1, f: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -41, -2 in decreasing order.\nAnswer: 3, 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-13) + (-1586)\/2704. Suppose -2*o = -o + 4. Which is the second smallest value? (a) u (b) 1\/9 (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000035015886 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 4353114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55040 and 2285536.\nAnswer: 91421440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2836.9114 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 214, 493, 894, 1423, 2086, 2889?\n\"Answer: g**3 + 52*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517680 - 11*f**2 + f**2 - 517680.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(10)\/(sqrt(2)*1))**2 - ((sqrt(5) + 1)*-3)**2.\nAnswer: -49 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*p**2 - 1438839*f**3*p - f**3 - 24*f**2*p**2 - 2*f**2 - 2*f + 6*p**2 - 134 wrt f.\nAnswer: -6*p**2 - 8633034*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u - 6. Let z(l) be the third derivative of -5*l**4\/12 - 7*l**3\/6 + 11*l**2. Let n be 1\/1*(-1 + 8). Calculate n*h(m) - 6*z(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 8*d**2 - 3*d - 13. Let i be m(9). Let a = i - 36. Solve -28 = 5*u - 4*t + t, 0 = 4*u + a*t + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*j - 386 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99800703 divided by -597609?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1.17 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 19560177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16849680?\nAnswer: 2, 3, 5, 70207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-277776)\/56)\/(-3) - 8\/(-14). Suppose o = -15*i + 7069. Does 66 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose 4*d + m = -43, n*d - 2*m = -4*m - 36. Let r be 6\/d - 30\/(-50). Solve r = -2*y - 8, 2*w + y + 0*y + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562299641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*b = -7*b + 121, z = 5*b + 115. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -633.2163 + 5.5563. Let z = w - -627. What is z rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8725 and 0.18?\nAnswer: 0.33705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.9557km in meters?\nAnswer: 88955.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1002 + 5110. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r**2. Let t(k) = -2*k**2. Give t(y(j)).\nAnswer: -882*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 16*i**2 + 16*i - 161. Calculate the remainder when x(-18) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 732 + -734. Let j be 387\/135 - s\/6. Let 2\/5*k**2 + j*k + 14\/5 = 0. Calculate k.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**3 + 3*x**3 - 6*x**3)*(-4*x - 2*x + 2*x) + 2*x**4 - x**4 - 4*x**4 to y*x**4 + l + j*x**2 + u*x + q*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 i when four letters picked without replacement from eeeieeii.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 823741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014389 to 6 dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-175)*1 - (1 - (-117)\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 - 2, -5*a + 3*u = -1. Let t(f) = f**3 + f**2 + f + 1. Let q be t(-1). What is the common denominator of a + q + (-48)\/(-27) and -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186289687\/294360 + -34806\/55. What is the common denominator of 26\/15 and v?\nAnswer: 26760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 554*o + 5*o**3 - 2*o**3 + 61*o to h + s*o + r*o**3 + n*o**2 and give s.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*2)*1)\/sqrt(12).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in 2, 2\/5, -18\/7, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92418934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 3*q - 6, w - 5*q - 23 = 0. Let s = w - -46. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25796 and 4.\nAnswer: 103184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-7)\/(84\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106462288, 106462292, 106462298, 106462306, 106462316, 106462328?\n\"Answer: c**2 + c + 106462286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f + 730. Let u be t(36). What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146, -24, -1, -6 in ascending order.\nAnswer: -1146, -24, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 4*m)*(4*m + 0*m - 6*m) - 9*m**2 + 3*m**2 - 10 + 7*m**2.\nAnswer: 3*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106.14 - 105. Let y = o - -0.035. Let h = y - 1.83. Round h to two dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2559 and 163776?\nAnswer: 163776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 36063.4\nAnswer: 36063.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 19. Let z be g(-6). Let a(c) = -37*c**3 + c**2 + 2*c + 1. Calculate a(z).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15834, -15835, -15836, -15837?\nAnswer: -15838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -88018, -88057, -88120, -88207, -88318?\n\"Answer: -12*y**2 - 3*y - 88003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*i + 53, 5*l + 5*i - 140 = -0*i. Let c = l - 31. Solve c = -t - 0*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/30 - p**4\/4 + p**3\/3 + p**2. Suppose 8*f - 2*f = 24. Determine y(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1460851 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 10*r - 8*r. Let u be (((-35)\/2)\/r)\/((-2)\/(-40)). Suppose 4*k = u + 130. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -12*n - 5. Let i(d) = 4*d**2 - 4. Let m(c) = -c**2 + 1. Determine n*i(r) - 3*m(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2382308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s = 2*f - 5815, 0 = -4*f + 4*s + 7740. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 330 = -z, -18*t + 21*t + 653 = -2*z. Let k = 4484 - 2656. Let w = k - z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48273 (base 12) to base 2\nAnswer: -10111101101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1472 and 83\/75072.\nAnswer: 75072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 5 (c) 1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33250 and 2835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118071797 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.7. Let h be ((-236)\/(-84) - 3)*3. Let t = 2 + -2. What is the closest to t in j, h, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066 = 52*u + 2130 - 1064. Let t be 1\/(2 - 26\/14). Which is the nearest to u? (a) -0.3 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*a - 16, -5*v + 9 + 16 = 0. What are the prime factors of (1 - (-543)\/a)*12\/4?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - p**2 + 0*p + 4 + 2*p**2. Let d(b) = -2*b**2 - 3*b - 7. Let t = 166 - 162. Calculate t*d(f) + 7*x(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 29*m - 2. Let t be h(2). What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/2)\/(((-66)\/12)\/(-11)). Let z = 6 + m. Let x be (4 + z)\/(2 + (1 - 2)). Solve -20 = x*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*a**2 + 103*a - 103*a.\nAnswer: -623*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y - 6. Let s(f) be the third derivative of -f**y + 0*f + 0 - f**2 + 1\/12*f**4. Calculate s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4267502?\nAnswer: 2, 251, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.044 + -9.956. Let r = d - -10.3. Let z = -3 - -4. Which is the closest to z? (a) -4 (b) r (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 4:58 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-4 + 12 + (-2 - 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 9, 6*o = 12*o - 3*b - 1785. Calculate the highest common factor of 9867 and o.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 437835.6ml?\nAnswer: 437.8356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -49 - (1 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from jggjg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -0.256\nAnswer: 0.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312731241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (1*sqrt(200))**2).\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 180\/81 - (-32 - -24). Solve 0*j**4 - 4\/3*j**2 + w*j**5 - 14\/9*j**3 + 0 + 0*j = 0 for j.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 73 + 3*z + 2*z**2 + 69 to j*z**2 + t*z + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212109918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1712681, 1712684, 1712687?\nAnswer: 1712690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95)*1 - sqrt(95)))*4)\/(4*((sqrt(5) - sqrt(5)*-2) + sqrt(5))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22427.4624 - 22412. Round k to one dp.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*b + 33, 20*b + 2 = -2*w + 18*b. Let v(r) be the third derivative of -13\/24*r**w - 10*r**2 + r**3 + 0 + 0*r. Differentiate v(h) wrt h.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -0.2, -1\/6, 1322?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18362 divided by 4\nAnswer: -9181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 748*s**2 - 4*s - 46 + 46 + 5*s to m*s**2 + j + i*s and give m.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let d(x) = -x - 88. Determine c(d(l)).\nAnswer: -3*l - 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -19183.084345576?\nAnswer: 19182.084345576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-15)\/(-30)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-180)\/(((-38)\/(-7505))\/((-8)\/15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -172. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*d + 135 = -521*d. What is the remainder when d is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m + 4 = 0. Let n be (7\/(-7))\/(m\/3). Solve 3*z + j - n = -5, -5 = 5*z + 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let f(q) = -5*q + 31. Give f(t(z)).\nAnswer: -15*z + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*s + 319, -3*s - 985 = -3*u + 2*s. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 67200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684*c**3 - 37293*c**3 - 8713*c**3 - 7161*c**3.\nAnswer: -54851*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13652 (base 7) to base 2.\nAnswer: -111010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 216 + -145 - 137.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 8850400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g - 100. Let h be (-50)\/175 + 6\/21*-34. Let v be r(h). What is the highest common divisor of 25 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66009 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*u - 23*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22022\/15 at most 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -1810706?\nAnswer: 5\/905353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.9 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 24*z - 50 = 0. Suppose 0 = -15*a + z*a + 6515. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51709409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*n = 271*n - 4284. What is the highest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328314 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2010)\/(-7))\/3 - (-2)\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 - 9*y - 6. Let w be o(-8). What is the first derivative of -4 + 246*g**2 + 247*g**2 - 486*g**w wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*s + s - 12, s = -4*i + 22. Solve -3*c + c + i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 153463 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 492 = -j. What is the remainder when j is divided by (9 - (37 - 33)) + (0 - 1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8098576 and -73\/5968.\nAnswer: 8098576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9 - 11. Suppose -5*n + 2*o + 18 = 0, 2*n - 3 - 21 = x*o. Suppose -36 - 24 = -n*m. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 100 + 505 + 170 = 0 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78010, -78017, -78024?\n\"Answer: -7*d - 78003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*h + 948 = 5*h, -3*x + 5*h - 706 = 0. Let g = -239 - x. Solve 2*t + 15 = -5*z - g*t, -5*z - t = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 65. Let l = 32 + v. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 488, 731, 974, 1217?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 72.31962?\nAnswer: -28.927848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.166 - 29\nAnswer: -29.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 441237 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 21*z\/2 + 36.\nAnswer: -(z - 24)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-5*36)\/(6*3\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -16. Let o be 44\/t - 4\/10. Let l be (o\/(-5))\/((-5)\/25). Solve l*i - 1 = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10))**(-1\/71) assuming y is positive.\nAnswer: y**(10\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 4 (c) -6 (d) -3\/7 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - 3*c**2\/2 - 8*c. Let s be ((-8)\/6)\/(1\/3). Calculate the remainder when 25 is divided by k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 7*b - 2*b + (-1 + 1 + 2)*(4*b - 5*b + 2*b) + 0*b - 3*b + 5*b - 557747*b - 4 + 4 + 558824*b)*(b + b - 3*b).\nAnswer: -1083*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136)*1 + sqrt(136) + -2*sqrt(136)*-2)*5)\/(-4*(sqrt(144)\/(sqrt(24)\/sqrt(4)))\/sqrt(3)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysss when four letters picked without replacement from {y: 2, s: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 1. Let t(p) = -2. Let o be 1\/(-3) - 6\/9. Give o*t(a) - 2*v(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 6284*o\/7 - 4936082\/7.\nAnswer: -2*(o - 1571)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -424131 (base 6) to base 5\nAnswer: -2101430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 120 = 0. Let d be -1 + -1 - j\/(-6). Let n = d + 4. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -96287*l**3 - l**2 - 4*l - 4. Let x(m) = 48144*m**3 + 2*m + 2. Let w(b) = 3*v(b) + 7*x(b). Let c be w(-3). Round c to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -113.8. Which is the nearest to 0.03? (a) -3 (b) 1\/7 (c) w (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26373*t - 93 + 42 + 23324*t + 51.\nAnswer: 49697*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:46 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 245866783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 420205.5 millennia?\nAnswer: 420205500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 6*f + 210. Let l = 10 + f. Suppose l*v = 46*v - 689. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 15756545*j - 5252182 = 0.\nAnswer: -5252182, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27\/2 (b) 453 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*z**3 - 2*z - 610*z**2 - 29*z**3 + 61*z**3 as m*z + l*z**3 + j + c*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:58 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522*h**2*l**3 + 3*h**2*l**2 + 494*h**2 - 2*l**2 - 1 wrt l?\nAnswer: -3132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:39 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(40\/(-4))\/(75\/(-60)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63344 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 52*u**2 - 3*u + 2. Calculate the remainder when v(2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwmiaiwo. Give prob of sequence oa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 12 = 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 3*m - 5. Let w be j(2). Let d be (2\/w)\/(16\/32). Let y be (7\/(-2))\/(2\/(-4)). Which is the second biggest value? (a) 4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246321 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 22*d**2 - 31*d + 725. What is f(18)?\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ghqhghhggqg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -16. Let x = 25 + -24.85. Let w = -3.15 + x. Which is the biggest value? (a) 0.2 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/2 of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 16*k + 14. Give u(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j + 1. Let y(u) = -13*u**2 - 9*u - 5. Let t(n) = 5*r(n) + y(n). What is the second derivative of t(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-2)\/10) + 11\/(-30). Let o = -13\/150 - a. What is the second smallest value in -2\/5, o, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 33. Let m = b + 31. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276489 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i - 1. Calculate the least common multiple of y(-3) and (-15)\/(-2)*72\/45.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -87. Suppose 14*w + 7 = 15*w. What is the greatest common divisor of z and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:40 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjzjevejdjdjdejjj. What is prob of picking 1 z and 1 j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/53, -2\/7.\nAnswer: -1\/3, -2\/7, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -w + 3*y, -4*w + 6492*y = 6488*y + 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - 30\/(-56). Let f = 18 + -16. Suppose -g + 3*g = -f. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780*o = -1776*o - 3*v - 17, 0 = -2*o - 5*v + 15. Solve 4*w = o*u - 5, 14*w - 19*w + 10 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 200\/450*(308\/16 - -4). Factor -5\/3*f**3 - o*f + 5\/3 + 31\/3*f**2.\nAnswer: -(f - 5)*(f - 1)*(5*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2977 - 35875\/12. Find the common denominator of j and 101\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*y - 146, -5*y - 219 = -2*y + 3*m. Let n = -69 - y. Solve -b - 3 = 3*j, n*b + 2*j + 2 = -0*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w - 11 + 10 + 9*w. Calculate l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**2. Let s(h) be the first derivative of -6*h**2 - 4*h + 1486. Determine r(s(a)).\nAnswer: -1296*a**2 - 864*a - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1792)*-6*5)\/(-1*(sqrt(484) + sqrt(484) + -2*sqrt(484) + sqrt(484)) - -5*sqrt(484)*-2))**2.\nAnswer: 3628800\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.84 - -2.1. Let g = 2.34 + v. Let f = g + 0.4. Which is the third biggest value? (a) -2 (b) f (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 10. Let y be i(-7). Suppose y*s - c - 13 = 0, 0 = 2*s - 3*c - 8 - 1. Find the first derivative of -s*l + 0 - 6 + 1 + 3 wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1728 (base 9) to base 3.\nAnswer: -1210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5253 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -311b - 6a?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 29 + 76. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**3 + 7539*c - c**2 - c**2 - 7538*c + 0*c**2 - 3*c**2 to s*c + o + r*c**2 + l*c**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8037 divided by 84987?\nAnswer: -47\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 326.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 12 = 0. Let n = d - -2. Let w = 6 + n. What is the remainder when 43 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -727 (base 15) in base 11?\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -184 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 187510, 187504, 187502, 187504, 187510, 187520?\n\"Answer: 2*s**2 - 12*s + 187520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(-2 + 1*(-4*(sqrt(1377) + 0) - (sqrt(1377) - ((1 + sqrt(1377) - sqrt(1377)) + -2))))**2.\nAnswer: -206604 - 1620*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -0.71 (c) 2.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -33 = 60.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -891, -1312, -1705, -2064, -2383, -2656?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuiui. Give prob of picking 4 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4289, -4263, -4211, -4127, -4005, -3839, -3623, -3351?\n\"Answer: h**3 + 7*h**2 - 2*h - 4295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 9*l**3 + 84*l**2 + 36*l - 33. Solve a(q) = 0 for q.\nAnswer: -6, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 + 8056*l**3 + 4096276*l**2 + 40360560*l + 100400400 = 0. Calculate l.\nAnswer: -1002, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 - 7*b**2 - 26*b**2 + 0*b**2 + 3 + 14*b**2 + 13*b**3 to r*b**2 + i*b**3 + a*b + y and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552042 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -6*-1*sqrt(143)) + 1*sqrt(143)*-2)\/(sqrt(1331) + (sqrt(1331) - -3*(sqrt(1331) + 3*sqrt(1331)))).\nAnswer: -sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16800 and 3900?\nAnswer: 218400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -3 + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/108 - (-3)\/(-36)*-1*898. Calculate the greatest common divisor of 30 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 + 1296*d - 191.\nAnswer: 1296*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59863*d**4 + 38390*d**2 - d?\nAnswer: 1436712*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -68, -102?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12577 (base 13) to base 9\nAnswer: -51444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 9*w - 69 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/27)\/((-2660)\/456)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-3)*((-215)\/(-175) - (-210)\/(-147)). What is the fourth biggest value in k, 5, 2, -0.4, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, 1, -80, -1, 4 in ascending order.\nAnswer: -80, -32, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12604*i + 360 = -12622*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven eighths of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001355 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 33 = 36. Let p be (0 + 2)*(-6)\/4. Calculate the common denominator of (v*(-6)\/20)\/p and -22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 2*d**2 + 129. Let o be q(0). Let j = o - 131. What is the closest to -0.03 in -10, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (0 - 8) - (2 + -8 + 0)) + -33.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (299*w**2 - 131*w**2 - 133*w**2)*(10*w + 6*w - 3*w + 5*w - 6*w + 8*w) to the form j*w + x + y*w**2 + q*w**3 and give q.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7255700.\nAnswer: -1\/1451140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 4. Let a be r(4). Suppose -22 = 2*t - 4*t - 2*q, a = -3*t - 4*q + 36. Let p = 2 - -1. Solve 0 = p*s - t*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let w = 115 - 111.11. Let i = w - -0.11. Which is the nearest to -1? (a) i (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -80 + 5 + -2 + 1 + 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -62.95 (b) -1\/74 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -1060, -1747, -2444?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 41*f\/5 - 8.\nAnswer: -(f + 1)*(f + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*q - 42. Let x(o) = q*o + o - 41*o. Let s(y) = -37 + 16 - 2*y + 21. Give s(x(n)).\nAnswer: 56*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/(-3) + 4\/(-6). Let s = m - -47. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 4*f - 4*f)*(19 + 4 - 9) as m + n*f + d*f**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 2. Let m be f(-6). Let y(a) be the third derivative of a**4\/24 + 7*a**3\/6 + 5*a**2. Let d be y(m). Solve d*w + 12 = -0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5788 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*m - 6, m = -5*u - 17 + 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.706 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -1. Let d = 30.379 + -30.4. Let t = 0.279 - d. Which is the third smallest value? (a) t (b) p (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 18. Suppose 6*i = 18*i + d. Let t be (-4 - (-1700)\/188) + i. Sort 2\/15, -3, 0.3, t in increasing order.\nAnswer: -3, t, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000110001101110 + 110?\nAnswer: 101000110001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38141\/(-33067) + (-7)\/(-6) and -103\/30.\nAnswer: 23070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 60, -72, 4, 3 in decreasing order.\nAnswer: 60, 4, 3, 1, -3, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-84)\/(-16) - 12\/(-3) and 59\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27136361 is divided by 437683.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkvkkvkkc. Give prob of sequence vc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9553, 9515, 9471, 9421, 9365, 9303?\n\"Answer: -3*b**2 - 29*b + 9585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.11 - 2.243. Let h = u + 0.133089. What is h rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2184 or -2188?\nAnswer: -2184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -56, -159, -364, -707, -1224?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5178267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4762 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -214. Calculate the highest common factor of 252 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:49 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-117)\/(-15) + (-1)\/(-5). Suppose -d - 23 = q*h - 3*h, 4*d - 2*h = 18. Calculate the remainder when 4 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 8*i**2 - 6*i - 1. Give o(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = -62. Let x = -20 - g. Solve -p - 4*l = -3, 5*p - x*l + 29 = -l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**14*m*m**(-17)\/m*(m**(4\/3))**(1\/24) assuming m is positive.\nAnswer: m**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/4463100 and 73\/73950.\nAnswer: 75872700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (3 - 579671\/41110). Let k = 2\/4111 + i. Find the common denominator of k and (-8)\/12 + (-278)\/(-192).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88775128 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-26)\/n**(-6)*(n**(-2\/13))**24 assuming n is positive.\nAnswer: n**(-308\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**4 + 2*b**3\/3 - b**2\/2 - 1. Let d = 14 + -13. Determine t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d**5 - 19*d**5 - 21*d**5 - 20*d**5 - 261*d - 94*d wrt d?\nAnswer: -1020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**3 + b**2 + 5*b - 79. Let y(p) = 6*p**3 + 5*p - 78. Let z(l) = 5*a(l) - 6*y(l). Let x be z(6). Solve 0 = -t + 2*j + x, 4*j + 18 = -t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**3 + 977*a**2 + 2410*a wrt a.\nAnswer: -36*a + 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Let r = -5 - -1. Sort 2\/3, r, t in descending order.\nAnswer: t, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.5337l in millilitres?\nAnswer: 706533.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-415)\/6225*((-14)\/5)\/(12\/90).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (10 + 25 + 9 + -16)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 450\/(-315) - 3\/(-7). Which is the closest to 2\/5? (a) g (b) -2\/13 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsx when three letters picked without replacement from {a: 1, p: 1, u: 2, s: 2, x: 6, d: 7}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 255, 1, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47016\/149 < 0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -8.4. Let b = -214494.000016 - -214487. Let j = i + b. What is j rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4)*u**(2\/11))\/((u**3*u)\/(u**(-10)*u)))**(-29) assuming u is positive.\nAnswer: u**(16675\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/((-12)\/(-72))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 2. Let h(o) = 3*o - 5. Let y(z) = 2*h(z) - 5*m(z). Let w(v) = -1. Let p(l) = -4*l**2 - 24. Let d(g) = p(g) - 24*w(g). Determine y(d(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21103.83 - 21288. What is the third smallest value in f, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 7*l**2 - 15*l + 15. Let k be m(4). Solve -v + 5*y + 19 = 0, -5*v + k = y - 3*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 5094\/(-45) + (-4)\/5. Let h = 8 - b. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*a**2*p - 9*a**2 - 117*a*p + a - p - 578893 wrt a?\nAnswer: 52*a*p - 18*a - 117*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1723 - -1717. Sort -1, -5, p, 4 in descending order.\nAnswer: 4, -1, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 6*j + 9. Let q be a(-10). Let d = 51 + q. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/175 + 96\/(-70)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 893047388 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 22 = 18*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 14 + (-2 - 1 + 1)*(1 - 1 - 1))*(-2 + p - 5*p + 5*p).\nAnswer: 7*p - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3498 and 17490?\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -35?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -330*r**4 - 697*r**3\/2 + 3863*r**2\/6 + 118*r\/3 - 14\/3 = 0.\nAnswer: -2, -7\/60, 2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.494 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 12391067?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1586 divided by 793.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 + 266*w - 264. Determine v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591585 - 620.\nAnswer: -592205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 429, -2754, -11387, -28194, -55899?\n\"Answer: -454*q**3 - q**2 - 2*q + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 41 = -3*l + 21, -2*m = 3*l - 68. Suppose 5*z - 8 = 5*y - 53, l = 2*y - 4*z. What is the remainder when (-132)\/8*(-20)\/15 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 9*h + 7*h = -2*g - 53, 5*h = -g - 36 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let y(o) = -o**3 - o**2 + 7*o - 4. Let f be y(-3). Let z be (f + (-81)\/(-12))*4. Put -5, z, -2, g in ascending order.\nAnswer: -5, -2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 383342827*u**3 + 648745339*u wrt u?\nAnswer: 2300056962*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-47\nAnswer: -10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**6\/3 + 2*q**5\/5 - 2*q**4 - 4*q**3\/3 + 2*q**2 + 2*q - 5. Find n such that x(n) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-10 - (7 - (-2 + (-14 - -26 - 1))))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5381808 and 24.\nAnswer: 5381808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6579298 rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -184. Solve -2*r = -5*f - 18, r = -h*f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12391*a**3 + 39 + 4*a**2 + a - 6 - 12393*a**3 in the form o*a + t + h*a**2 + z*a**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 26*p + 25. Let l(r) = 51*r + 47. Determine -11*k(x) + 6*l(x).\nAnswer: 20*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8))\/(2\/(-16)). Suppose -l*s + s + 135 = -4*j, -3*j = -9. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484629 (base 10) to base 16\nAnswer: 76515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - 1) + -8 + (-5 - 14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a71 (base 13) in base 11?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 1 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:15 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**2\/2 - 11. Let v(c) = -10*c. Calculate k(v(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 7*c - 5. Suppose 2*i + 1 = -13. Let o be n(i). Suppose -4*s + 2*g + 4 = 0, 5*g + 0 + 1 = s. Sort o, 5, s in increasing order.\nAnswer: o, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 362 + -56a1a?\nAnswer: -56668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 92*n**3 + 9*n**2 + 29*n + 30. Let i be p(-3). Is i > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 3 - 6*f + 7*f. Calculate the remainder when s(7) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518658 (base 13) to base 6.\nAnswer: 104445213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2 + 2)*(34*p**2 + 44*p**2 - 140*p**2).\nAnswer: -310*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mflnuuluufuumbunlf. What is prob of sequence ufbl?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 7*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1\/4, 0.54, -1\/9, -0.11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*t, -25 + 9 = -4*t. Solve d*k = 3*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47376 and 25524.\nAnswer: 33589584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 488375 and 1562800?\nAnswer: 7814000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 718, 2772, 6174, 10906, 16950, 24288, 32902, 42774?\n\"Answer: -3*u**3 + 692*u**2 - u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4510, -4322, -4134?\nAnswer: -3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2896410181\/30 - 96510608. Let m = 36403 - d. What is the common denominator of m and 31\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 + 579*o\/5 + 4312.\nAnswer: (o + 40)*(o + 539)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 33749372?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -3 - -4*(-178)\/(-44). Let w = -2363\/110 + j. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (760\/120)\/((-9)\/27).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/2 + -3)*0. Let j = v + 1. Let t be (-2)\/(-4)*(1 - 1). Which is the closest to 2\/3? (a) t (b) j (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 4*r**2 - r + 1. Let w be d(-2). Suppose -3*s + 80 = 2*s. Suppose n = 3*n - s. Solve -w*a + a = -n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1217779*w**4 - 49*w**3 + 78*w**2 + 1005855 wrt w.\nAnswer: 29226696*w - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 5579126?\nAnswer: -5579123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, -43, -0.05, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*v + 3*v - 165*v - 96 - 92*v wrt v?\nAnswer: -273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1663\/5368 - 7\/488. Let x = 6961\/1010 + 4\/505. What is the common denominator of d and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 124\/9, 0.2, -0.1.\nAnswer: -0.1, 0.2, 1, 124\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2545 divided by -3.\nAnswer: -2545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 514\/3*a**2 + 700\/3*a**3 - 190\/3*a - 4\/3 = 0?\nAnswer: -1, -1\/50, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-55)\/(-5) - 4 - (1 + 1). Let h = 11 - 5. Let t = n - h. Which is the biggest value? (a) 0.5 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 11) to base 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/5, -2, -604, -3\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3304.\nAnswer: 1\/1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-50) - 23\/(-5). Let y be 4\/(-6) - (-17)\/3. Solve -3*z + c*u = -0*u + 25, -u = 4*z - y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139743199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-29)\/58*(-6)\/(-39)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:01 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10995 is divided by 3642.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/9 - 2762*m**3\/3 - 115742*m**2\/9 - 178990*m\/3 - 825800\/9 = 0.\nAnswer: -4129, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:41 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 19*h + 22. Let j be v(19). Let f = 101 - j. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 31 - 19. Suppose -a + 5 = -0. Suppose 4*j - 9 = -a*y, y - 18 = 5*j + 7. Solve r*s - y*s = 4*v + 13, -s = -5*v - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/6*12\/(-8). Let w = z + -16. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 + 4)*(-3*z**2 + 2*z**2 + 0*z**2) to the form v*z + t + r*z**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90788100 rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 9 = 39. Let z be 8\/24 + 4\/j. Suppose -14 = -2*c - c + o, o = z. Solve -2*x - 9 = 3*m, c*x - 5 = 2*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*171*(-6)\/(-27). Let c(d) = -11*d + 236. Let u be c(t). Solve z = -8*z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 + 12460*c**4 - 1929372*c**3 + 7580324*c**2 - 9422392*c + 3758976 = 0. Calculate c.\nAnswer: -3263, 1, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -87. Let g(m) be the first derivative of -m**4\/4 - 4*m**3\/3 - 3*m**2\/2 - m - 22. Give g(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128, -1084, -3698, -8804, -17236, -29828, -47414, -70828?\n\"Answer: -139*d**3 + 5*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnnf when four letters picked without replacement from nnffngnnnffnfnnfffn?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:42 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1036*j - 53803 + 37227 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h - 9*h - 19*h**2 + 2 + 27*h. Let v(l) = 4*l - 23*l**2 + 4 + 2*l + 5*l**2 - 3. Let f(r) = 6*a(r) - 5*v(r). What is the derivative of f(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 67*d**3 - d**2 + 129*d + 254. Give h(-2).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + 33 - 179*y + 283*y in the form l + z*y and give z.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -5*y - 17*i + 2*i, -5*i - 1 - 59 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:39 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 161610*t**4 - 969780*t**3 + 1939640*t**2 - 1293120*t.\nAnswer: 5*t*(t - 2)**3*(t + 32328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15412, -15416, -15432, -15466, -15524, -15612, -15736, -15902?\n\"Answer: -b**3 + 3*b - 15414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*p = 6, 5*v - 9*v - 10*p + 48 = 12*v - 8*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1874993.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 22. Suppose -11 = -x + 3*f, -2*x - p*f = -f + 22. What is the lowest common multiple of 16 and x\/2 + 1395\/30?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 2 + -1 + sqrt(500))**2.\nAnswer: -3096 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(1\/19))*s**(3\/10)\/s assuming s is positive.\nAnswer: s**(-123\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -o + 5*r - 12, 36 = 2*o - 4*r. Let q = 142 - 34. Calculate the greatest common factor of q and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 4*g**3 - 409*g**2 - 8*g + 15*g + 192*g**2 + 203*g**2 as b + z*g**3 + f*g**2 + o*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 4\/7, -1\/6, -5, 4, -942?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(468))**2 + -1.\nAnswer: 60*sqrt(13) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141040 is divided by 424?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a + 1949. Is g(-68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/5 - 65922*v\/5 - 65923\/5 = 0.\nAnswer: -1, 65923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 5*b. Let u be 2726124\/520 + b\/26. Let s = 5250 - u. Calculate the common denominator of s and 7\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1008)*3*50\/10*(-272)\/680?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408\/(1 - -1)*(-84)\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 31. Let c be d(-17). Let n(g) = -320*g - 4 - c + 6. Let h be n(-1). What is the greatest common divisor of h and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d. Let m(u) = -3*u**2 - 15505*u - 2. Give l(m(h)).\nAnswer: -12*h**2 - 62020*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (8 + -8) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 770 + -764. Let c(h) = -h - 2. Let z(f) = f + 1. Calculate i*z(o) + 2*c(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + (-25)\/21. Let i = 2\/21 - l. Let y be (-42)\/8 - 2\/(-8). What is the second biggest value in i, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -687152?\nAnswer: -687073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -0*b. Let y(t) = 10*t + 4*t + b*t + 1 - 3*t. What is the remainder when 57 is divided by y(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-9\/8) assuming s is positive.\nAnswer: s**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208976 is divided by 52244.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 20, 5*q - 195 = -4*f - 215 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 32.76. Let l = 0.16 - a. Let s = l + 0.28. What is the nearest to s in 3, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**2. Let j(x) be the first derivative of -7\/3*x**3 + 0*x**2 - 38 + 0*x. Calculate j(y(m)).\nAnswer: -1575*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:24 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from pxnnppxxnppfxnpn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2208164 times -9\nAnswer: -1.9873476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 189\/39 + (41\/13 - 3). Suppose -h*j = 5*j + 122000. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + a = -16596, -97*n - 11064 = -99*n - 4*a. Suppose 0 = -j + 7078 + 2115. Let w = j - n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**4 - w**2 + w. Let h(r) = 19*r**4 - 7*r**3 - 17*r**2 + 9*r. Let q(x) = -2*h(x) + 18*u(x). Suppose q(l) = 0. What is l?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q**4 + 0*q**3 + 0*q**2 + 5*q - 7\/20*q**5 + 0. What is the third derivative of s(l) wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6243, -5818, -5395, -4974, -4555?\nAnswer: -4138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-5 - -65) - (-165 + 146).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 - 9*x**2 + 3 + 0 to h + m*x + s*x**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 3, 2\/1879?\nAnswer: 2\/1879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (4\/(-30) + 1). Let y = 3.6 - 6.6. What is the closest to 3 in y, 1\/7, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 2*k + 3. Let d be t(0). Let r(i) be the second derivative of i**5\/20 - i**4\/6 - i**2\/2 - i. What is the units digit of r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 107 + 48*d + 38 + 28 - d**2.\nAnswer: -d**2 + 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/8 (c) -2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170265899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3906 and 148239?\nAnswer: 9190818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22*y + 134. Let u be g(6). Solve 6*r + c = 2*r - 15, -u*r - c = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10080, -17189, -24298, -31407, -38516, -45625?\n\"Answer: -7109*x - 2971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -725 + -1?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and -67\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -94773 - d + 94773. Let j(u) = 26*u**2. Calculate t(j(q)).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 460*x + 458.\nAnswer: 2*(x + 1)*(x + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 900.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*1)\/(sqrt(216)\/sqrt(6)) + sqrt(468)*-2 + 2)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30232 + -322302?\nAnswer: -232010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207838.\nAnswer: 2, 1603919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159429567.\nAnswer: 3, 11, 1229, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 1 - 4*g + 4*g + g. Let h be q(-1). Let w be (-1)\/(3\/2 + h). Solve v - w*v = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/556408 and -83\/25733870?\nAnswer: 102935480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24304 and 8624?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 - 97. Let j = 124 - u. Solve -4*k = -3*r + 11, -6*k - 15 = -j*r - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + m = 118 + 160, 2*m - 10 = 0. Let w(f) = -3*f**3 - f. Let n be w(-1). Suppose t = -o + n*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28790149, 28790154, 28790159, 28790164?\nAnswer: 28790169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*1 - sqrt(170))\/(-1*sqrt(360)) + -3 + (-1 + sqrt(2057) - sqrt(2057))**2 + (sqrt(136)*2)\/sqrt(8).\nAnswer: -2 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxkx when four letters picked without replacement from krrkrxwrrrgkkwgr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(11\/3))**(6\/7))**10 assuming w is positive.\nAnswer: w**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-80)\/24)*2\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxm when three letters picked without replacement from mmxlx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (273\/(-3) - 2) + 2. Let z be (-2)\/(-8) + f\/(-52). Solve -z*n + 4*l + 26 = 0, -18 = 3*l - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/954 (b) 3 (c) -2\/27 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from kbtkcktxtbtckkxctk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558 + 1560 - 53*y + 16*y - 3118 + 47*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*d + 14507 = -3*d + 5*f + 14551, -2*d + 7*d + 4*f = -30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071 = -2*u + 1115 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - (-3 + (3 - 1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 95 + 43*g - 21*g - 22*g + 304*g**2. Let j(k) = -19*k**2 - 6. Calculate 6*c(r) + 95*j(r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.973 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1851 (c) 4 (d) -8407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 78*g - 507.\nAnswer: -3*(g - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*d**2 + 563 - 563 as o*d**2 + u + b*d and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0 (b) -2 (c) -2\/11 (d) -0.03 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23*a**2 + a - 5. Let l(r) = 23*r**2 - 6. What is -3*h(n) + 2*l(n)?\nAnswer: -23*n**2 - 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let u(p) = 3 + 0 + 2*p**2 - 6*p + n*p. Suppose 2*z - 3*d + 19 = 3*z, -2*d = -10. What is u(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 13*k**5\/60 - k**4\/24 - k**3\/6 - 11*k**2. Let n = 594 - 595. Determine h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -77*p**2 + 397*p - 15. Calculate the least common multiple of 5035 and w(5).\nAnswer: 45315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 554 = 4*b, j + 615 - 473 = b. Suppose 0 = 6*p - 3*p - 15. Calculate the least common multiple of p and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(1 + (1*(sqrt(65) + (sqrt(65) + (sqrt(65) - -1*sqrt(65)*2) + sqrt(65) - sqrt(65) - sqrt(65)))\/(sqrt(50)\/(2*sqrt(10))))**2 + 4).\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.711749 rounded to one dp?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.104 in 3, -1\/3, -2488?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3 + 1)*-1. Suppose 5*c - 40 = -4*s, -5*c + q + 10 = s. What is the smallest common multiple of -3*(-5)\/3*2 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:07 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 828*o**3*q**2 + 390*o**3 + 3*o**2 + o*q**2 - 2*o wrt q.\nAnswer: 1656*o**3*q + 2*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1, 2 in decreasing order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312\/89 > 206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 y, and 1 o when four letters picked without replacement from {x: 1, y: 2, o: 1, g: 5, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, u: 1}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let n(i) = 7214977*i**2. What is d(n(x))?\nAnswer: -21644931*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 323, 115, -93, -301?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150279.152 + 150845. Let q = p + -561. What is q rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6599051, -6599110, -6599169, -6599228?\nAnswer: -6599287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -6.1 and -641 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 25. Let d be m(5). Suppose 6*r - d*r = -10. Let p = r - -25. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135642 is divided by 5209?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 42*j + 305. Let b be x(10). Let o be (2\/3)\/((390\/b)\/(-13)). Calculate the greatest common factor of o and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 122.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33939 and 1641.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-143)\/(-39))*(-3 - -7 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -670 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.32 - -1.52. Let z = 199.66 - 199.7. Which is the closest to -2? (a) z (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64792 and 6.565.\nAnswer: -425359.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(63)\/sqrt(3))\/(sqrt(567)*-1))**2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/9, -1, 0.3 in increasing order.\nAnswer: -1, 0.1, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 11*o**4\/4 + o**3 + 123*o**2 - 129. What is the second derivative of q(d) wrt d?\nAnswer: 66*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6 + 18\/11*x**2 + 2\/11*x**3 - 50\/11*x = 0.\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7478*n = 7530*n + 520 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -97, -240, -421, -634, -873, -1132, -1405, -1686?\n\"Answer: u**3 - 25*u**2 - 75*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*o - 1. Let q(k) = -5 - o*k + 3*k + 2*k. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(19*c - 12*c + 0*c)*(8*c + 51*c + 14 - 73*c).\nAnswer: 294*c**2 - 294*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -15*x - 1910*x**2 - 123 + 1911*x**2 + 35*x. What is r(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1411 - -1418.97. Let i = 8 - h. What is the third biggest value in i, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -141706701, -283413399, -425120097, -566826795, -708533493, -850240191?\n\"Answer: -141706698*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*q - 5*q + 5*l, -3*l = 5*q + 9. Let a be (1 + 0)*q\/(-2). Suppose -m = -a*m. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(18\/(12\/15*5))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64, -37, 10, 77, 164, 271?\n\"Answer: 10*n**2 - 3*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 67*k - 2877. Let a be p(43). Let u(g) be the first derivative of -5\/4*g**a - 8*g**2 + 0*g**3 + 0*g + 24. What is the second derivative of u(h) wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k - 30. Let s(g) = -g - 13. Let w be s(0). Let v = -8 - w. What is the remainder when k is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -675\nAnswer: -2\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54492 and 35948.\nAnswer: 25774716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 15*a - 3*a - 5*a. Let d(l) = 17*l - 25. Give n(d(b)).\nAnswer: -34*b + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332076 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 4*j + 28 + j**2 - 14 - 2*j**2. Let d be s(7). Suppose 6*o + 0*o - 72 = d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -199 (c) -0.35502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swws when four letters picked without replacement from {w: 5, s: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7391, -29581, -66565, -118343, -184915, -266281, -362441?\nAnswer: -473395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 22*c + 36300. Is 3 a factor of ((-2)\/(-4))\/((-55)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 826*k**2*r**3 + 249481*k**2*r - 24*k**2 - 3769*r**3 + 2*r wrt r.\nAnswer: 4956*k**2*r - 22614*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -399. List the prime factors of w.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -6.418?\nAnswer: 19.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322.93 - 323. Let b = t + 0.27. What is the third biggest value in b, -5, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 139*r**2 + 52*r + 7. Let m be o(7). Suppose 13*n = 32*n - m. Calculate the highest common factor of n and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5501289.\nAnswer: 3, 1833763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 126143965482554.\nAnswer: 126143965482553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 39526912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1120212201201122?\nAnswer: -1120212201201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.285 and 33.861.\nAnswer: 43.511385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:03 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 783266 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10) - sqrt(250) - sqrt(10)))**2 - (sqrt(11) + 2*sqrt(99))**2)*5.\nAnswer: -13464\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 24 + 2*u + 4.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 42.7?\nAnswer: 42.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 17. Let v be (-2)\/4 + 55\/c. Suppose 491 = v*w + y + 51, -2*y = 2*w - 184. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -115052353, -115052355, -115052357, -115052359, -115052361?\n\"Answer: -2*p - 115052351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.643707?\nAnswer: -0.7080777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 61480*z + 369024 = 0. What is z?\nAnswer: -6, 15376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 45*v**2. Let p(d) = 30*d - 35. Let j(t) = -75*t + 84. Let g(a) = -5*j(a) - 12*p(a). What is g(q(r))?\nAnswer: 675*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1880 divided by -5\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q + 2 - 3*q**3 - 113*q**2 + 115*q**2 - q. Let m(s) = -13*s**3 + 9*s**2 - 3*s + 9. Determine 2*m(o) - 9*y(o).\nAnswer: o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 7188*c**3 - 18*c + 14385*c**3 - 63*c - 7195*c**3 - 60*c.\nAnswer: 2*c**3 - 121*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*p**6 + 5*p**5 - 3*p**3 + 56*p**6 - 5*p**5 + 2 + 10*p**2 wrt p.\nAnswer: 360*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*i - 276*i = -987. What is the remainder when 1168 is divided by i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4725\/2)\/15*(116\/20 - 5). Calculate the highest common divisor of 828 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 2*n + 3*n. Let t(l) = 3*l**2. Determine r(t(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/85? (a) -5 (b) -2 (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-2)\/(-3)*10506\/(-68) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 0 + 0 + 8*m**2 + 22*m**2.\nAnswer: 30*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405.9564 rounded to the nearest integer?\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3616 and 145205.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -576 + 609. Suppose -5*m = -r - 14397, -4*m - 32*r + i*r + 11518 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 13*d + 0*d**5 + 0*d**4 + 3\/10*d**6 + 0*d**2 + 0 + 3\/2*d**3. What is the second derivative of a(q) wrt q?\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 3}. What is prob of sequence ci?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 51*w - 51. Give o(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - 4*n**4 + 9*n**4)*(2 + 1 - 4) + (2*n - 3*n + 3*n)*(-3 - 1 + 1)*(-4 + 0 + 2 - 2*n**3).\nAnswer: 2*n**4 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 - -388. Suppose -5*u = 4*r - a, -u + r + 16 = -3*r. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49947549 to four decimal places.\nAnswer: -0.4995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(10)\/(sqrt(10)\/sqrt(5))))**2 - (1 + -2 + sqrt(162)))*6.\nAnswer: -54*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2207 + -304?\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 - 8*k. Let x(a) be the third derivative of -7*a**6\/120 + 2*a**4\/3 - 20*a**2. Calculate -5*o(y) - 3*x(y).\nAnswer: y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1755745 and 1757.\nAnswer: 12290215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*(k**(-6)*k)\/k*k*k**(-3\/4)\/(k\/k**(2\/3))*(k**(-2\/7)*k*k**2)**(-5\/6) assuming k is positive.\nAnswer: k**(-449\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q - 3. Let v be x(2). Find the common denominator of 83\/24 and (-5 + (v - 11))*(-2)\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 1\/2, 4 in decreasing order.\nAnswer: 4, 1\/2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4) + -1)*-10. Let n be 3*35\/(-42)*1. Which is the fourth smallest value? (a) i (b) -2 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/5 - -1 - (-3834)\/15. What is the smallest common multiple of b\/6*1\/(15\/12) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4157443 is divided by 414?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4 - 0. Solve 0 = 5*q - b + 13, r*b + 0*b - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*i - 3 + (5*i - 6*i + 2*i)*(101 + 28 + 29) + 4 - 4 + 2*i - 3*i + 2*i + 0*i.\nAnswer: 156*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + t)*(0*t + 4*t + 2*t) + (-7*t**2 + 29*t - 31*t - 12*t**2)*(71 - 52 - 61).\nAnswer: 792*t**2 + 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z + 4. Let d(t) be the first derivative of -9*t**2 - 3*t - 127. Calculate -4*d(m) - 3*n(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 581, -136, 5, -5, -3, -2 in decreasing order.\nAnswer: 581, 5, 3, -2, -3, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*s + 6*s + 308 = 0, -400 = -5*h + 2*s. What is the highest common factor of h and 1066?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 8*k + 592. Let t be r(-19). Are t and 3\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8686 is divided by 1445.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)*r**(-6))\/(r**8)**12 assuming r is positive.\nAnswer: r**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2321 and 50\/57?\nAnswer: 132297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - -42. Suppose -3*j - 10 = -a. Suppose i = -i + j. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384.9 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/15366 or 1?\nAnswer: 5\/15366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.3 + -1.1?\nAnswer: -58.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Let i be k(3). Let v(t) = t**2 - 7*t - 8. Let h be v(8). List the prime factors of h - (1 + (1 - i)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Find the third derivative of 7*x**2 - x**4 + 3*x**4 + 2*x**g wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 0.06 (b) -0.09 (c) 5 (d) 4 (e) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Suppose -5*n + 3*n = -48. Let f(t) = -3*t - 24. Let o(g) = g + 8. Let p(y) = 3*f(y) + 8*o(y). Calculate n*m(h) - 3*p(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -72. Let m be (-38)\/(-247) + 2806\/13. Let j = -55 + m. Calculate the greatest common factor of j and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/6 + (49 - 6208\/128).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 71 = 47. Suppose -4*t + 2*f = -62, -3*t + f + l = t. Calculate the remainder when 27 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 37145*q - 74721. Calculate y(2).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:02 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2 - 167*v. Let b be (-438)\/73 + 1 + (-8)\/2. Is n(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) 3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -4, 17, 0.8, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) -0.1 (d) 0.3 (e) 343.8 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133196777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721104 is divided by 320.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144058 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 2*l**2 + 3*l + 3. Let i = -24 + 34. Suppose -i = 5*k - 0*k. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 348 + -337. Suppose 7*b - s*b = -1008. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54113111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817*a - 905*a = -352. Suppose 4*n - n = -12. Let b = 9 + n. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n + 326 + 1797 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -47*i + 1\/20*i**5 - 1\/2*i**4 - 5\/2*i**2 + 0 + 1\/3*i**3. Calculate z(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348332587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/(o\/o**7*o)*o)\/o))\/o*o\/(o*o\/(o**(-5)*o))*(o\/(o**1*o)*o)**(-23)*(o**(-1\/3))**47\/((o**1*o)\/(o*o**1\/o)) assuming o is positive.\nAnswer: o**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x - 5*p + 41, 0 = 5*p - 25. What is the third smallest value in x, -2\/9, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 10. Let x be g(-4). Solve 5*o - 15 = 4*u, 8 = -2*u - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 4. Let r be t\/2 + (-7)\/9. Let z = 0.8 - 0.3. Sort 0.1, z, r in increasing order.\nAnswer: 0.1, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1103 divide 51251998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffttfttetftei. What is prob of sequence ift?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 11:52 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(32))**2 + -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -x. Let n = 48882985\/95896 - -1\/95896. Let w = n + -510. What is the closest to -2\/5 in x, -0.02, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -122*k. Let w(u) = 2680*u. Calculate w(z(p)).\nAnswer: -326960*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgkgggggggjjv. Give prob of sequence kkg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 16*b**4 - 24*b**3 - 16*b**2 - 4*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. Suppose 2*c - 2*t + 6 = 7*c, -l = 4*c - t. Suppose -2*r - 110 = -3*n, r + c + 4 = 0. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + n**2 + 4 - 84*n - 113*n**3 + 85*n + 0*n**2 to l*n**4 + p*n**3 + v*n + k*n**2 + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f)**(1\/46)*(f**19)**(-3\/10) assuming f is positive.\nAnswer: f**(-5219\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 15}. Give prob of picking 3 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(216\/(-55332)*29)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 5*p = 238. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/77)\/(32\/28). Factor 0*g + 0 - y*g**3 + 1\/4*g**2.\nAnswer: -g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -551678 (base 9) to base 8\nAnswer: -1203170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzmn when four letters picked without replacement from wmmmmmmzmnmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 74*x + 490. Determine v(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or -624.38?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 5*g + 3. Let k be o(3). Let f = 16 + k. Sort 2\/3, f, -4\/5 in increasing order.\nAnswer: f, -4\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -12, -1, 4, 7\/3, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0 + 0*h**3 - 27*h**2 + 0*h + 1\/20*h**5 - 11\/24*h**4 + 1\/30*h**6. What is the second derivative of y(z) wrt z?\nAnswer: 24*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 1, -1, -7.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1532 - -1532.3. Sort -4, -0.3, 0.8, f, 2\/15.\nAnswer: -4, -0.3, 2\/15, f, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(300)*2 + sqrt(27)*6)**2.\nAnswer: -8664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -5. Suppose -y + 4 + v = 3*q, y + 2*q - 18 = 0. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19b62 (base 13) to base 15\nAnswer: -ed68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11810 - 11809. Which is bigger: 1\/2913 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16 - 4 = 0. Calculate the smallest common multiple of y and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283363198.\nAnswer: 2, 141681599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10864852, 2 in descending order.\nAnswer: 2, -4, -10864852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 5*w - 22516172 + 22516164.\nAnswer: -8*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from yydybybyyyyeyyy?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1890.9 - -377.\nAnswer: -1513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*u**3*w - h*u*w - 2*h*u + 46*h + 138*u**3*w + 9130*u**3 - 17207*u*w - w wrt u.\nAnswer: 6*h*u*w + 828*u*w + 54780*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**5\/13 + 40*z**4\/13 - 88*z**3\/13 + 68*z**2\/13 - 2*z\/13 - 12\/13 = 0. Calculate z.\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(15\/(-84)*-42)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**8\/5880 - g**7\/1470 + g**6\/1260 + g**5\/210 + 24*g**3 - 33. Let j(i) be the third derivative of y(i). Factor j(l).\nAnswer: -2*l*(l - 1)*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 5}. Give prob of sequence tg.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*k**5 + 37*k**3 - 1125*k**2 + 2*k + 59.\nAnswer: 720*k**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5950119039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254991200.\nAnswer: 2, 5, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420343 + 33320?\nAnswer: -332023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 70*u - 550. Let s be h(-9). Which is smaller: s or 1\/2408?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = 9370. Let t = c + -1163. Suppose -7*l + 2*l + 1780 = -5*v, -2*l + t = -v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 5*o + 1. Let a be j(5). Let v(d) = 794*d - 791*d + 3*d**2 - 1 - 4*d**2. Let l be v(a). Solve -l + 9 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1, -1\/9, 114.81, -0.02 in increasing order.\nAnswer: -5, -1, -1\/9, -0.02, 0, 114.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 87. Calculate the remainder when s is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 652, 673, 708, 757?\n\"Answer: 7*b**2 + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-60) + -1 + 414\/30\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 168*t - 1. Is q(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**0)*k)**(-27)*k*k**(-1\/3)*k\/(k*((k*k*(k**2*k)\/k*k)\/k*k)\/k))**(1\/81) assuming k is positive.\nAnswer: k**(-91\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17645\/34 - 519. Let p be (75\/(-7))\/(34*1). Let i = l - p. What is the nearest to 0.1 in -4, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(72\/960). Find z such that 1\/3*z**2 + s*z + 3 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 - 1*-3. Let h be g\/(-2) + (-26)\/(-4). Let w = h - 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 0, 5 in ascending order.\nAnswer: -160, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zejzye. Give prob of sequence yzez.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 9*y**2 - 12*y + 6. Suppose 2*q + 2*q = 28. Let v = 6 + 2. What is the smallest common multiple of f(q) and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.276 + -0.035. Let j = 48241 + -48240.75779. Let l = w - j. Round l to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.49 - 19.19. Let y = 15 + -15.4. Which is the nearest to 5? (a) y (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2, -4\/63, 0.1, -33?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 16656*z. Let y(c) = -24*c - 2. Determine y(k(a)).\nAnswer: -399744*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 8*b - 2. Let k be q(9). Let n(d) = 0*d**3 + 2*d**3 - d**3 + 3*d - 7*d**2 - 2. Let j be n(k). What is the greatest common divisor of 76 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*z**3 - 2*z + 11\/3*z**2 + 1\/3*z**4.\nAnswer: z*(z - 3)*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5613477 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b. Let d(k) = 2*k**2 + 7*k + 9*k**2 - 2*k**2 + k**2. Let s be -3*-2*5\/(-30). Let j be (6\/s)\/(-6)*2. What is j*d(r) + 14*x(r)?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.4. Let b = z + 0.2. Put -6, 1\/7, b in ascending order.\nAnswer: -6, b, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -15. Let s = 27 - x. Is s < -1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5830*u**2 - 11*u. Let a(z) = 2915*z**2 + 6*z. Give 11*a(p) + 6*l(p).\nAnswer: -2915*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(8*30\/640). Solve -x = -v*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -1142, 0.26 in descending order.\nAnswer: 0.26, -167, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114104 + -430?\nAnswer: 113454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20628 and 0.0156.\nAnswer: -321.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-3 - 1) - -88 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/72 + -10303\/8568. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 256456.6 days?\nAnswer: 6154958.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -29*n - 1. Let d be b(1). Let v be (-20)\/d*(1 - -5). Suppose v*h - 10 = 2. Solve z = h*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -q + 64, -5*b + 48 = 3*q - 44. Suppose 7*d = 3*d. Suppose 0 = -3*r + q - d. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.37 - 3.38. What is the closest to 1 in -1\/3, s, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d + 2. Calculate k(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 157 = -3*s, -137 = -4*s - 2*n + 29. Let j(i) = -i**3 + 74*i**2 + 71*i + 343. Let h be j(75). Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 673 = 4*n - 407. Solve 0 = 18*l - 14*l + 2*k + n, 5*l + 27 = 2*k for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.4 (c) -5386.8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75264.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 5*s + 3. Determine h(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -87*j - 3 + 47*j + 41*j. Let u(q) = -2. Calculate 3*u(o) - 2*x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -40. Suppose 0 = -g - 3*g + 12. Calculate the lowest common multiple of r and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(-5\/9)\/(o**(2\/9)*o**(-2)*o) assuming o is positive.\nAnswer: o**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2264, -3101, -3938, -4775?\n\"Answer: -837*g - 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/5)*c*c\/(c\/c**(2\/51))*c**(-17)\/((c\/c**3)\/c*c) assuming c is positive.\nAnswer: c**(-3356\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -0.5, -0.9, 0.81, -150, -2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 144.4\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40863071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Solve 0*w**2 + 4*w**2 + g - 1 - 6*w = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5288622*m**5 - m**2 - 2*m - 120875 wrt m?\nAnswer: 317317320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93957.\nAnswer: 3, 31319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 11 + 41 - (0 + 8)) + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 15 = 5*h + 25, -5*h + 2*z + 36670 = 36710 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1272b04?\nAnswer: 1272b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x - 10*x - 113*x + 117*x - 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 18*v + 24*v)*(-2*v - 2*v - 2*v) - 7*v**2 + v**2 + 3*v**2.\nAnswer: -261*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14.3, 1\/3, -2\/5, -0.5, -27.3, -234, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 q when four letters picked without replacement from uqqiqqruuiruquuuiuq.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -1444193927880\nAnswer: 1444193927843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73886249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 817460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6505 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 463, 514, 595, 712, 871?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 128. Suppose -5*b - 4*n = -49, 4*n - 29 = -3*b + 2*n. Calculate the highest common factor of b and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20)*-3*12\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/12 and 16\/441.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f - 5. Calculate the remainder when v(7) is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507515325.\nAnswer: 3, 5, 6766871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**3 + 2*b**2 - 2*b + 1. Suppose -3*d = -32 - 1. Suppose -18 = 2*r - 4*z, 2*z - d = -1. Determine t(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80178*r = -80728*r - 38500 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56 - 51 - (-31 - 0). What is the highest common divisor of 20 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -1.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -81\/2, -0.04, 2\/3.\nAnswer: -81\/2, -0.04, 2\/3, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/18)\/((-54)\/(-81))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = b + 579801, -4*a - 1159595 = -5*b. Round a to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)\/v**6*(v*v*v**(-1))\/(v\/(v**(3\/4)\/v)*v))\/((v**(-1\/2)\/v*v)**(-4)\/((v**(4\/3)*v)\/((v*v**(2\/3))\/v))) assuming v is positive.\nAnswer: v**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -21. What is the greatest common divisor of 30 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787486977?\nAnswer: 3, 19, 661, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/k*k\/(k**(-2\/3)\/k))\/(k**(1\/2)\/k*k**(-11)*k) assuming k is positive.\nAnswer: k**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15 - 36\/(-10). Suppose 11 = -u*a + 77. Calculate the least common multiple of 16 and (-2 - 0) + a + -10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + 11*d + 9. Let g(x) = x**2 + x. Let a(b) = 6*g(b) - y(b). Suppose 5*n - 7 = 28. Give a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y + 10. Suppose y*o = -1 + 21. Is 9 a factor of o + (-4)\/2 - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/(319800\/(-208))*10\/8*8*-2.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-3))\/(u*u*u\/((u*u**(-2\/11))\/u)*u)*u**(-2)\/u*u*u*u**2*((u\/u**5)\/u*u\/(((u\/(u\/u**(3\/7)))\/u)\/u))**(2\/51) assuming u is positive.\nAnswer: u**(398\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.278 + 0.078. Which is the smallest value? (a) 0 (b) 2\/3 (c) t (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8 + (-13)\/(-2). Let r = v + 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naim when four letters picked without replacement from {z: 1, m: 2, b: 9, i: 1, a: 1, n: 1}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, 22, -5 in decreasing order.\nAnswer: 22, 3, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247572868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289448494?\nAnswer: 2, 23, 73, 151, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + 17*i**2 - 5*i. Let s(z) = 12*z**3 + 69*z**2 - 21*z. Let a(o) = 5*s(o) - 21*t(o). Suppose a(r) = 0. What is r?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -44. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2 + (-33)\/5. Let i = 34 - 40. Is i at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aln when three letters picked without replacement from aiallilllllnl?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125.57 + -127.57. Which is the closest to -10? (a) -1\/7 (b) x (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/840 + k**6\/60 - 3*k**5\/80 - 3*k**2 - 160. Factor c(j).\nAnswer: j**2*(j - 1)*(j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1553 times -52\nAnswer: 80756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*f + 2 = -3*p, 2*f - 8 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1518 - 1153. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6 (base 16) to base 5.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(245) - (sqrt(245) + -3 + 2))**2 - sqrt(245)) + 2.\nAnswer: -7*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6790 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 86*a**2 + 23 + 19 + 18 + 19.\nAnswer: -86*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 2, 29, 4 in decreasing order.\nAnswer: 37, 29, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 70?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2949 divide 64551701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 + 13 = 3*k, -2*k = -3*q + 11. Find the second derivative of q*c**4 + 4*c + 9*c**3 - 9*c**3 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 34580 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10097, -20408, -30715, -41018, -51317, -61612, -71903?\n\"Answer: 2*g**2 - 10317*g + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 251*m**2 - 1302*m + 8. What is y(5)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15295 divided by -95.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2776 + 44431\/16. Suppose -2*p = -6*p - 24. What is the common denominator of ((-242)\/p)\/((-40)\/12) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 5*f - 3831, 5*d - f = 6385. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225473, -450963, -676467, -901991, -1127541, -1353123?\nAnswer: -1578743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-15)*y*y\/((y*y\/(y**19\/y*y))\/y*y))\/(y**(-3)\/y**(-19)) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2102*d + 1391. What is the hundreds digit of i(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -106. What is the units digit of 130\/4 - (-16)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*6 + 3. Put -1, u, -2 in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:18 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1922747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000266495 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72188 - 118888. Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 39*x**2 - 39*x + 45. Let n be c(-40). Calculate the greatest common divisor of n and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) + (-71)\/(-2). Suppose 0 = -6*f + 3*f - r + 70, 0 = 4*r + 8. Let q = w - f. What is the highest common divisor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*s = 5, 0 = l + 4*s + s + 22. Suppose 0 = -l*k + 12. Determine y so that 5*y**4 + y**3 - 4*y**4 - k*y**4 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37289.79 micrograms to nanograms.\nAnswer: 37289790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 75*v - 521. What is s(8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 127. What is the third smallest value in j, 5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1. Let l(d) = -d + 2. Let a(f) = l(f) + 5*n(f). Calculate a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4354350580911 + 0.2\nAnswer: 4354350580911.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35531 - 13?\nAnswer: -35544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w = 75*w + 144*w + 63*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 3*s - 4. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188752625\/1128 - -167334. What is the common denominator of 101\/20 and g?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186910?\nAnswer: 2, 5, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14373740903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 82919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 21*n**2 + 5*n + 87. Determine m(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4 + (-52)\/6)*-3 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1349 - j**4 + 1349 + 37*j + (89*j**4 - 2527 + 2527)*(2 - 3 + 2).\nAnswer: 88*j**4 + 37*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 659091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 - 14 = 0. Suppose 4*h = -5*h. Factor -1\/2*i**2 + h*i**3 + 1\/4*i**l + 1\/2*i**4 + 0 - 1\/4*i.\nAnswer: i*(i - 1)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 23. Suppose 32*l - 12*l - 2720 = 0. Let u(m) = -138*m**2 - 9*m - 130*m**2 + 403*m**2 - l*m**2. Give u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 + -164. What are the prime factors of l?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(84)\/(sqrt(7) + sqrt(63) + sqrt(7)) - sqrt(12)))\/((sqrt(810) - sqrt(810)*-2)*5).\nAnswer: -sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/((-1125)\/3060))\/14)\/2?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*o - 134*o = -77. Calculate the remainder when (-2)\/(-1 + (-75)\/(-77)) is divided by (-11 + 9)*(o + 3 + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925397 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let y be ((-18)\/(-21))\/(9\/(-1914)). Let i = y + 182. Is i > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 32815273 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26.8 (b) -2 (c) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Suppose 6*g - 150 = -114. Let r(q) = -49*q**2 - 34*q + 6. Let i(a) = 8*a**2 + 6*a - 1. Let s(v) = g*r(v) + 34*i(v). Determine s(k(z)).\nAnswer: -22*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzgcyzccbczc. Give prob of picking 2 z and 1 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 106*j**2 + 211*j + 38.\nAnswer: (j + 2)*(j + 19)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 23. Let y be t(-9). Solve y*q = -2*c - 4, -c + 2*q - 4 = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**2 - 2*b - 64. Calculate r(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*78\/(-91).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/20 + (-4837)\/35. Let s = 188 + j. Is 51 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000856987 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 0 (b) -192 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 12, -2, 186.\nAnswer: -2, 0, 8, 12, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 239116426, 239116427, 239116428, 239116429, 239116430?\n\"Answer: f + 239116425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -70*k + 321. Let u(m) = -420*m + 1925. Let x(q) = -35*c(q) + 6*u(q). Find the first derivative of x(f) wrt f.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 + 0*s - 1\/20*s**5 + 1\/120*s**6 + 1\/24*s**4 + 2*s**2 - 1\/6*s**3. Suppose 3 = m, 4*g - 76 + 62 = -2*m. What is t(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 20 + 12)*(-26 + 26 - 29*i) - i + 3*i - 3*i + 2*i + i - i + (1 + 2 - 2)*(4 + 2*i - 4) + 1 - 1 - 2*i + (-2*i + 3*i - 3*i)*(-3 + 5 - 4).\nAnswer: 788*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t. Let f be x(3). Let j = -4 - -7. Suppose 0 = -j*m - 4*g - 17, 2 = -5*m - 4*g - 13. Sort 4, f, m.\nAnswer: f, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 319 and 2.6.\nAnswer: 321.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 547*w - 12. What is the hundreds digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 (base 12) in base 10?\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(78) + sqrt(78) - sqrt(78)))\/(sqrt(486)*-3)*4*-5*3.\nAnswer: -80*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 2237*w + 8901. What is s(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 165. Let p be v\/(-24) - (-1)\/4. Let k(d) = 4 - 2 - p + 2 + d. Calculate k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2, -0.14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -1. Let s = h + -3. Let a = -30 - s. Put 2, 5\/6, a in descending order.\nAnswer: 2, a, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, j: 6}. What is prob of picking 4 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1623209.624 to the nearest one hundred.\nAnswer: -1623200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 34?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2027210 (base 8) to base 16.\nAnswer: -82e88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1488*d*o**2 + d*o - 5608*d with respect to o.\nAnswer: 2976*d*o + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 24. Let l(t) = 0 + 6 + 0 - t. Let r(z) = -9*l(z) + 2*n(z). Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-42)*-6 - 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -4, -1\/6 in descending order.\nAnswer: 0.4, 0, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76231.\nAnswer: 76231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 263 * -21\nAnswer: -5523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 4*p + 34 - 9 + 8*p in the form d + r*p and give d.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25200\/15750*(6\/(-12))\/(124\/(-10)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 8}. Give prob of sequence gpgp.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 12 in decreasing order.\nAnswer: 12, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:24 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(((r**(-2\/9)*r)\/r)\/r)\/r*r)\/(r\/(r\/(r*(r\/(r**11*r))\/r))*r)*(r**(2\/11))**(-2\/99))**(-9\/8) assuming r is positive.\nAnswer: r**(-2661\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + i - 4 + 1 = 0, 4*h + 5 = 3*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8878 + 0.1122. Let u = -339.2 - -339. Sort 2\/3, -1, p, u.\nAnswer: -1, u, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 617, 618, 619, 620, 621?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/(sqrt(9) + sqrt(36)))\/(sqrt(54)\/(sqrt(9)*1)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78976*o**2 + 17214*o**2 - 22478*o**2.\nAnswer: -84240*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403810077?\nAnswer: 3, 11, 12236669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153761903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14*637\/(-364). Let n = -18 - -13. Let r be 6\/(-9) - n\/(-15). What is the nearest to r in 2, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**9\/3780 - q**8\/840 - q**7\/630 + 2*q**4\/3 + 25*q. Let n(g) be the third derivative of w(g). Suppose n(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9305 is divided by 1161?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -347*v + 395. Let d(t) = 349*t - 395. Let a(h) = -5*d(h) - 4*p(h). Differentiate a(r) with respect to r.\nAnswer: -357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 56*n - 2317. Determine h(84).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 246.95 from -6.389.\nAnswer: -253.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 + 86\/3)*-330509*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2315*p**4 + 802*p**2.\nAnswer: 55560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)\/sqrt(81) - (-3 + (sqrt(539) - (-1 + sqrt(539)) - sqrt(539)) - sqrt(539)))**2.\nAnswer: 160*sqrt(11)\/3 + 17636\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/435 and -28\/1167?\nAnswer: 169215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2048 = -9*v. Let x = 196 - v. Suppose 648 = -2*f - x. Round f to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 381, 867, 1569, 2499, 3669, 5091?\nAnswer: 6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11307967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 69. Suppose -12 = -4*k + 32. Let a be (-2)\/6 + (-16)\/(-3). Solve -a*j + p + k = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3630 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 976.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 1.61.\nAnswer: 11.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 87027*h - 87027*h. Let v(w) = -303*w. Give t(v(a)).\nAnswer: 91809*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 1. Let y be b(5). Suppose 2*k = 2 - y. Let n = -5 - k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045.4842 rounded to zero dps?\nAnswer: -1045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-36)\/((-1296)\/45)*8\/490).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7901.0118625 + -7901. What is c rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3916200 and 181\/3916200.\nAnswer: 3916200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2374913 + -641491\nAnswer: -3016404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 761195415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 2 - -1*222. Let i = 13628 - 13600. Calculate the greatest common factor of i and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232131 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 11*d - 10. Calculate z(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/128 and -55\/1401616.\nAnswer: 11212928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14110345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1 + sqrt(11) + 5)*4.\nAnswer: -44*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -139098?\nAnswer: 1\/46366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71444 and 2332.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 102*j**3 - 28*j**3 + 6*j**2.\nAnswer: 74*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2 - 0) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -371*x + 379*x + 6816. List the prime factors of (22\/6)\/((-4)\/(x\/1)).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0 + 0*d**2 + 1\/3*d**3 + 4*d. Let x(m) = 3*m**2. Give x(z(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.5 in -12, 1\/5, 1868\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49589764*p**3 + 4422376*p**2\/3 - 98596*p\/9.\nAnswer: -4*p*(10563*p - 157)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/4 - 28487*m**2\/4 - 1081099*m\/4 - 1052613\/4 = 0. What is m?\nAnswer: -28449, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8329294, 8329296, 8329300, 8329306, 8329314, 8329324?\n\"Answer: w**2 - w + 8329294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -17. Let y(q) = 4*q**2 + q + 1. Let m be y(-1). Suppose 5 = 2*k + 5*j + 21, m*j + i = -2*k. Solve -2*a = k*f + 10, 3*f = -2*a - 7 - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 23 + 32 - 907*h + 25 to the form d + q*h and give q.\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 3, q: 1, x: 3, c: 2, z: 2}. What is prob of sequence xx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443201, 443199, 443197?\nAnswer: 443195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1649 + 9\/(-18)*16?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196902 * -0.3.\nAnswer: -59070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25286 + 50529 + 51*o - 25243.\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 23 = f + 11*n, 3*n - 6 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 - 4*k + 5. Let y be o(4). Suppose 0*z = -4*z + 8. Let c be z\/9 + 4\/(-18). Solve 2*v - 5*h + c*h + y = 0, 0 = -5*v - 5*h + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 90?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - -4 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 1376538260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 1969*z**6\/30 - 191*z**5\/30 + z**4\/12 + 3402*z**2 + 1. Find the third derivative of s(n) wrt n.\nAnswer: 47256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.135 - -0.135. Let i = j - -27. Let c = 34.6 + i. What is the second smallest value in -2\/13, c, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x - 1. Let b be w(1). Does 7 divide (3 + 39\/b)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2\/(4\/(-6)). Let k(c) = -2*c + 5. Let a be k(4). Let z = a + b. Are z and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.002. What is j rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**5))**(-7\/4) assuming p is positive.\nAnswer: p**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7491)\/(-908))\/(36\/(-16)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 291*f**3 + 238*f**3 + 653*f**3 + 14*f.\nAnswer: 1182*f**3 + 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -3) + -8 + 10. Suppose z*n = 25 + 137. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 3*z**2 - 5*z - 4. Give o(-4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:18 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 101396\/5, 14, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.076 (b) -300 (c) 1\/3 (d) 3828 (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.83 - 0.03. What is v rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -0.05 (b) -0.2 (c) 5\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 0*k**2 + k - 26*k**3 - 3*k + k. Let q be x(-1). Suppose m - q = -4*m. Put m, 0, 2 in descending order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170+-6.797\nAnswer: 163.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 15*z**2 - z - 18. Let n be w(-15). Let c = 0.04 - 0.14. Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -86*f - 14. Let l(x) = 13*x + 1. Let y(d) = 3*l(d) + m(d). Let z be (12\/15)\/((-2)\/15). Is y(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 2*j. Let m be x(6). Let p be m\/(-56)*(0 + -427). Suppose -5*l + p = -384. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**3 + 0 + 0*x**2 - 2*x - 1\/5*x**6 - 3\/4*x**4 + 0*x**5. What is the third derivative of g(h) wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - y - 39 = 0, -3*y = n - 281 + 343 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b - 2\/5*b**5 + 0 - 2\/5*b**4 + 0*b**2 + 0*b**3.\nAnswer: -2*b**4*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 335262*s**3 - 60*s**2 - 2*s + 515115731?\nAnswer: 1005786*s**2 - 120*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0843 (base 11) to base 10.\nAnswer: -147425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33231361 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 2}. Give prob of sequence pll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103311 (base 4) to base 16.\nAnswer: 34f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(4\/19)*c))**(-4\/15))**(-1\/48) assuming c is positive.\nAnswer: c**(-23\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.2548 rounded to zero dps?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48479\/120 + 404. Let b(a) be the third derivative of 1\/24*a**4 + 0*a - 7\/6*a**3 + 0*a**5 + p*a**6 + 4*a**2 + 0. Give b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17090046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 38 = 0. Let z = 20 - -37. Calculate the highest common divisor of z and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*k**3*t + 3*c**3*k**2*t**2 + 2*c**3*k*t**2 - 5*c**2*k**3 - 2*c**2 + 2*k**3*t**2 - 2*k**2*t wrt k?\nAnswer: 12*c**3*t - 30*c**2 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - 276\/18 - -9. What is u in -7\/6*u - 1\/6 + 11\/6*u**4 + 5\/6*u**5 + 1\/3*u**3 - d*u**2 = 0?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35225439 + -0.34.\nAnswer: 35225438.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*w**4 + 4*w**3 + 3669.\nAnswer: -128*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 143*l**2 + 40 wrt l?\nAnswer: 286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/7)\/((-38)\/((-29260)\/(-22)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1\/(1\/2). Solve -5*u + 9 + w = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 64 = 4*d, x - 64 = -28*d + 24*d. Calculate the least common multiple of d and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l. Let u be s(1). Let t be (-24)\/(-18)*(-2)\/u. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -246, -364, -464?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 7:39 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 503 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 654.9806 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 839121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7852436394?\nAnswer: 2, 3, 11, 19, 23, 272257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -16. Let s(l) = -4*l - 4 + l**2 - 5 - 3*l. Calculate the remainder when s(t) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 687*z - 67323. Calculate q(98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 + 4*n - 3. Suppose -2*x = 4*b - 8, -42 = -x - 2*x + 4*b. Suppose -p = 3*u + 2*p - 12, x = 3*u + p. What is y(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (14 + 2 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 13\/2*b**2 + 13*b - 16. Find the first derivative of q(t) wrt t.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 91 = -p - 79, 4*j + p = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*s = -2*o - 20, s - 12 = 3*o. What is the nearest to -0.4 in o, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 49 = 4*f, -2*f + 3 = -d - 4*d. Suppose -4*i + 410 = 2*p, 4*i = -3*p - 162 + 569. Let o be -1 - 1 - (f + i). Round o to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(3\/((-24)\/10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5284 - 5214 - (-1 - -41).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -11309\/5, 4\/9, 5 in descending order.\nAnswer: 5, 4\/9, -4\/5, -11309\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.4. Let d = -0.2 - z. Let k = -2 - d. Which is the second biggest value? (a) 3\/7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 14*i + 15. Suppose 39*p = 89*p - 750. Calculate c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + (-4 + 4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**9\/2160 - 11*t**5\/120 + t**4\/4 + 19*t. Let k(j) be the third derivative of h(j). Differentiate k(x) wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 6. Let h be w(-6). Let a = h + -12. Suppose -i - 17 = b + 2, 3*i = -9. Is a smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*m - 71*m + 120. Let c be 492\/m - ((-4)\/(-10) - 1). Solve 4*w - 7*q + 5*q = -14, 4*w - 3*q = -c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1941 + 347*g - 758*g - 1795 + 2963 - 3360*g wrt g.\nAnswer: -3771","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1338 = 5*v, 4*v + 2071 + 159 = 5*r. Let j = r + 648. List the prime factors of j.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14467\/9642 - 2\/4821. Let n be -1 + -1 + 399\/27. Let z = n + -13. Which is the closest to z? (a) 0.1 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011 - 1?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585 + 590. Which is greater: l or 0.22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11937 and 60783?\nAnswer: 241855557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*x + 14 = 0, -2*y - 5*x + 5 = y. Suppose -y*j + 25 = -3*t, -j + 5 = t - 4*t. Solve -6*v + v + 25 = t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*b - 22358, -61*b = -5*d - 58*b + 22388. What is the remainder when d is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 9) to base 10\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 3816 = 31*u. Let p(l) = -l - 3. Let g be p(-5). Suppose -g*m - m = -3*r + 486, -2*r + u = 4*m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -115*z**4 - 25*z**3 - 35*z**2 - 25. Let s(l) = -19*l**4 - 4*l**3 - 6*l**2 - 4. Let r(n) = 4*h(n) - 25*s(n). Find the third derivative of r(g) wrt g.\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 112 = -28. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 0 + -4.\nAnswer: -4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -11. Let i(v) = 3 - 4 - x*v**2 + v**2. Let c(d) = -3*d**2 - 2*d - 4. Let t(r) = c(r) - 4*i(r). Let t(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19086 + 13378 - 5045 - 14044 - 2981)*(-4*d**3 + 2*d**3 + 0*d**3) to the form o*d**3 + h + y*d**2 + t*d and give o.\nAnswer: 55556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, 916, 1457, 2118, 2947, 3992, 5301?\nAnswer: 6922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - (-15 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 91434. Let u = 174522 - a. Round u to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12724 + -5.40994. Round s to two dps.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(-46)\/((w*w**(2\/5))\/(w\/w**(2\/9))))\/((w**(-2\/5))**(8\/7))**(-5\/4) assuming w is positive.\nAnswer: w**(-6172\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5 = 23. Suppose -156 = -9*q - 111. Let b = q + x. Let o(r) = 3*r**2 + 2*r - 2. Calculate o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16)*5)\/((-5)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.166 + 0.06.\nAnswer: -37.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 7\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 1. Let l be g(2). Suppose 5*r - 412 = -l*h, 0*r - 2*r + 172 = 3*h. What is the units digit of (-2)\/((-245)\/r + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 9*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 32.911. What is w rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95428926611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 74\/76577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = 2. Let l = 8 + b. Let d = l - 0. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = k - 2, 3*m = 2*k + 5. Suppose -5*r + 42 = 12. Let z be r\/3 + 0 + 0. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*w - 681*w = -24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.5? (a) 5 (b) 2 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 - 3*k**2 - 1 + 3*k**4 + 15*k**4 + 22*k**3 - 30*k**3 as i*k + w*k**4 + p*k**3 + j + t*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3\/4 (c) -24\/7 (d) 0.2 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 19*b + 22*b - b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.4 + -53.3999552. Round h to 6 decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g + 63 - 223 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 - 25 = 0. Let x = 2.795 + -2.63. Let q = x + -0.165. What is the third biggest value in 3, q, -2\/5, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192928*o**5 - 8835460*o wrt o.\nAnswer: 3858560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 27*g**2 + 17*g + 8. Calculate i(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86694\/5 - 17338. What is the nearest to 4 in -5, 0.2, 18.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.66 + -81.06. Which is the closest to 1? (a) 1.3 (b) -1 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -22*b**2 - 3*b - 2. Calculate n(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 9 = c, -22*n + 9 = -2*c - 23*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256369 and 5?\nAnswer: -1281845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084685740.\nAnswer: 2, 5, 9109, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(-1482 - -1538)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-8 + 9 + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263768?\nAnswer: 2, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 330 + -164. Let w = g + -165.9. Sort 3\/2, 13\/5, w.\nAnswer: w, 3\/2, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.02 - -60.98. Let a = 4938.54 - 4876. Let s = f - a. What is s rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -3 + (sqrt(187)*1)\/sqrt(11) + sqrt(17) + (sqrt(102) + sqrt(102)*-2*-1)\/(sqrt(6) + 1*sqrt(600)).\nAnswer: -3 + 113*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:20 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**2\/2 - 9. Let v(r) = r. Let m(g) = 2*v(g) - x(g). Let w(y) = 11*y. What is w(m(b))?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075316 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let u(a) = 14*a**2 - 3*a. Let t(n) = 7*n - n**2 - 16*n**2 - 10*n**2. Let g(p) = -3*t(p) - 7*u(p). What is v(g(o))?\nAnswer: 578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/594 and 59\/486?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/26243 and -58\/105.\nAnswer: 393645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 3. Suppose 0 = -2*d - o + 22. Suppose 5 = -x + d. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6259788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - d**2. Let f be z(-1). Let o be -1 + f - (-4)\/(-1). Is (-3 - o)\/(1\/37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/9)*p*p*p**(2\/29))**(-48) assuming p is positive.\nAnswer: p**(-13744\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66)\/(-11) + 494 + -1.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 12816?\nAnswer: -1\/6408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 84 + 12. Suppose -51 - 1 = 4*l. Let b = l + c. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 31. Let s = 10032 - 10018. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51746.29 millennia in years?\nAnswer: 51746290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 - 5 + 5)*(42 - 42 + 2*k).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5\/4, 33\/4, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4108513043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2 - 42*m - 53. What is o(-8)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 84 + 5985 = 0. Let c = -5993 - -47845\/8. Calculate the common denominator of 2\/(-8) + -3 + s\/(-36) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 654, -0.1, 95, 3.\nAnswer: -4\/3, -0.1, 3, 95, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627544 divided by 627544.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**3))\/k*k**(-1\/4))\/((k\/(k\/k**4))\/(k\/(k**(-1)*k))))**(2\/33))**(-6\/7) assuming k is positive.\nAnswer: k**(29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 856920 a multiple of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/21 - 0 - (-10)\/(-14). Sort -4, o, 3, 3\/4 in descending order.\nAnswer: 3, 3\/4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9240463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = 37*a - 22 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and -11.981.\nAnswer: 3.35468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 288 in ascending order.\nAnswer: 2, 4, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-21))\/(6\/28). Solve 5*h - x*p = 2, h - 4*p + p - 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/3 - 558*y**3 - 100399*y**2\/3 - 32908*y = 0. Calculate y.\nAnswer: -57, -1, 0, 1732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:09 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose -s - 21 = -9*w + t*w, -3*w - 2*s = -10. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 1 + 7. Suppose -4*c = -0*c - 360. Suppose -2*n + 50 = 4*l, -c = -u*l + 4*n - 34. What is the highest common divisor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 70, 1, -9\/4, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 2\/11, 3\/4, 245, 1, -7.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - -10) + -1 - (4 - (-11 + 10))) + -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86116 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**9\/22680 - y**8\/30240 + y**5\/15 + 3*y**2. Let j(v) be the third derivative of s(v). Factor j(m).\nAnswer: 2*m**2*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(1\/(5*2\/10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20069 and 25017442?\nAnswer: 175122094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -5*z, -6*n - 5*z = -5*n - 20. List the prime factors of n + -3 - -3 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*m + 4*u - 67, 2*u = -132*m + 137*m + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 1:31 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/3 + 8*f\/3 = 0. What is f?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o. Let i(v) = 2*v**3 - 5*v**2 - 8*v. Let d = 36 - 31. What is d*s(p) + i(p)?\nAnswer: 2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 10:44 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*t = 235*t - 144 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/20 - r**4\/6 - r**3\/3 - r**2\/2 - 31*r. Calculate p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/77 and 33\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -614*w**3 + 65*w**2 - 5?\nAnswer: -3684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 less than -54.5847867?\nAnswer: 183.4152133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/184 and -95\/1057264?\nAnswer: 1057264","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34 + m**4 + 210*m**2 + 3*m**4 + 32 - 221*m**2 wrt m?\nAnswer: 16*m**3 - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3576 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 38 - (-7 + 6) - (23 + -32)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/30 + 237*t**2 + 2*t. Let l(x) = -x - 16*x - 2*x. Calculate l(p(q)).\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33194*u**2 + 36899*u?\nAnswer: -66388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/22)\/(6\/9).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10 and -97\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 16. Let h be k(-7). Let g(a) = 3*a**2 + 2*a**2 - 4*a**h + a**2. Let b(z) = -z - 9. What is b(g(j))?\nAnswer: -2*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + m - 5. Let g be p(-4). Suppose -5*u - g = -4*h + 93, 76 = 3*h - u. Let y = h - 5. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**18\/k))\/(k\/(k\/(k**(-6)\/k)))*k\/k**6*k*k*k*k**(-31\/3))**15 assuming k is positive.\nAnswer: k**(-305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -2*z, 2*r + 4*z = r. Let m be (-15)\/20 - (801\/r)\/3. Which is greater: m or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 1377260?\nAnswer: 6886300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1107.62014 + -725.62307. Let z = y - 382. What is z rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 4*y - 6. Let u be 235\/35 - (-4)\/14. Let g be z(u). Let f(p) = -p**2 + p + 1. Let j(t) = -18*t**2 + 15*t + 15. Determine g*f(v) - j(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r - 1. Let x be (r\/3)\/((-1)\/54099). Suppose -b = -2*s + 44010, 0 = -3*b + 2*s + x - 150043. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 2*j**2)*(2 + 14 + 3).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 5, 2\/17, -584 in descending order.\nAnswer: 5, 2\/17, -84, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/5 - ((-18)\/(-15) + 3). Factor y*z + 0 + 2\/5*z**4 + 0*z**3 - 6\/5*z**2.\nAnswer: 2*z*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16*k**2 - 35*k - 2. Let f(o) = 95*o**2 - 210*o - 10. Let h(g) = 4*f(g) - 25*i(g). Factor h(b).\nAnswer: -5*(b - 2)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and (-18)\/(-72) + (-193)\/(-396).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 3*d**2\/2 - d - 1. Suppose 8*i = 2*y + 13*i + 35, -2*y - 25 = 3*i. Let n(p) = 0*p + 0*p + 4*p - 2. Determine y*n(s) + 7*o(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 q when three letters picked without replacement from mbgxq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.6 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(4\/5)\/(c*c\/(c\/(c\/c**(-4))))**(-5\/6) assuming c is positive.\nAnswer: c**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*v + 2*v - 647, -3*m + v + 385 = 0. Let h = -127 + m. Sort -1, h, 5, 2 in decreasing order.\nAnswer: 5, 2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -1. Let l = -59 + 20. Let b = 68 + l. Calculate the remainder when b is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814612014 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6. Let s(v) = -v**2 - 1. Let a be 22\/99 + 56\/(-9). Let i(b) = a*s(b) - q(b). Let m(h) = -2*h**2 + 0*h**2 + 0*h**2. What is i(m(x))?\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**2*v))**(-50)*(v\/((v*v\/(v\/((v\/(v**(-6\/5)*v))\/v)))\/v)*v)\/v**(1\/2) assuming v is positive.\nAnswer: v**(513\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.29, 0, -2\/13, -8.3, -2\/5?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -11399 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose -3*z = 2*z + h*m - 47, 2*m - 6 = 0. Let t = 13 - z. Let b(x) = x**3 - 6*x**2 + 1. Calculate b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*o - 4 = 10, l - 5*o + 19 = 0. What is the lowest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**2\/2 + 6*s - 8. Let b be g(4). Suppose 0 = -0*n - b*n + 44. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17*c + 2*c**3 - 20*c + 38*c - 3*c**2 - 2. Let a be j(2). Let s(x) = 2*x + 7. Is 3 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6297 divided by -1.\nAnswer: -6297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*m, j - 6 - 1 = -2*m. Solve 0 = -7*d - j*d - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 18. Determine r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1139572\/3?\nAnswer: 1139572\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103275894 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209621387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 2*m - 43 - 21 + (-2 + 0 + 5)*(-2 + 2 + 2*m).\nAnswer: 8*m - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 784383048 by -130730508.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*f - 2)*(1 - 2 + 3) + 3 + f - 3)*(1360 - 674 + 360).\nAnswer: -3138*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 + 4*a - 3. Let g(m) = 10*m**2 - 14. Let x(w) = -w**2 - w - 2. Let y(z) = -g(z) + 5*x(z). Give 5*t(f) + 4*y(f).\nAnswer: 15*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + (-3 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 2. Let h be (4\/10)\/(4\/20). Let t be q(h). Let m be t\/(-2) - (-7)\/4. What is the closest to m in -3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let v = -0.6 + 0.4. Suppose 0 = -802*j + 1830 + 1378. Which is the nearest to u? (a) v (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 131. Calculate the remainder when 265 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 at least -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24*(-8)\/2)\/(157\/(-785))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**5 + a**4 + a**3 - a - 1. Let g(r) = 20*r**5 + 30*r**4 + 25*r**3 - 15*r - 15. Let z(h) = -15*c(h) + g(h). Factor z(n).\nAnswer: 5*n**3*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 - -6) + (-14 - -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 0, r + 6 = 2*r + 5*y. Suppose 34 = r*w - 32. Suppose w*u - 6*u = 2815. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1436 = 5*h, 1424 = 5*h - 4*n + 5*n. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 3.4. What is the biggest value in -5, r, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 594.4749 millennia?\nAnswer: 59447.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60727 or 60745?\nAnswer: 60727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24492.\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32694*h + 32679*h - 705 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -1.8. Let v = i + -0.600006. Round v to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + (-2 - 0) - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 156, -1, -9, 1 in descending order.\nAnswer: 156, 1, -1, -9, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + c = s - 35, -3*s + 3*c + 9 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:55 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (36\/10)\/(12\/30).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/545 and 47\/5?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -99 - (-18 + (-76 - -10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 28*z + 46. Let s be d(-3). What is the second smallest value in 0.2, 1\/9, -12, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 121*z - 1423. Let u be v(16). Is -2\/11063 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4629081 is divided by 27391.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*f + 939 = -3439. Let h(z) = 43*z - 6. Let w be h(5). What is the highest common factor of f and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3170 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 + -224?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-15*5\/(-10). Solve 3*v = -n, -3*y + 5*v = y - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-15)*10\/2*(-8)\/(-24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = r - 15, -k - 3*k - 17 = -5*r. Let u be (34 - (k + -2)) + 2. Suppose -6*d + 2*d = -u. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.045 + -5.155. Let h = 4.8 + c. Let n = 0.1 + h. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7) + -2 - sqrt(63)*4)*-6.\nAnswer: 12 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6*6\/(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2213127 and 441?\nAnswer: 15491889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (0 + 4) - -4. Let c be w*(7 + -4) - -4. Solve 4*y + c = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y**2. Let p(a) = 18*a**2. What is p(u(x))?\nAnswer: 16200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, 2\/11, -9\/16?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377489221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 3*k**2 - k + 2. Suppose v + 8*h + 10 = 6*h, -5*v + 5*h + 25 = 0. Let q be z(v). Solve -2*o - 24 = -5*p, 2*o - 12 = -2*p - q*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubxbbxbxxobobbzxbbzb. Give prob of picking 1 u and 1 x.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 1012, -397?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 476\/(-49))*((-2900)\/190 + 16).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a. Let h(z) = 37*z**3 - 2*z**2 + 2*z. Determine -3*h(o) - 6*k(o).\nAnswer: -111*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1232*l*t**2 + 2*l + 177*t**2 + 15*t + 1 with respect to l.\nAnswer: 1232*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195474*n**3 + 5*n**2 - 1514.\nAnswer: -1172844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 80 + y + 9 + 72 - 91.\nAnswer: y + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 2. Suppose -8*a = -u - 3*a + 8, 16 = -5*u - 3*a. What is the remainder when 35 - (2 - (s + u)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**3 + 0*f + 1\/60*f**5 + f**2 + 1\/120*f**6 - 1\/24*f**4 + 0. Let g be 5\/20 + 5\/(-4). Calculate d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -529*i**4\/6 - 460*i**3 - 900*i**2 + 390*i. Factor w(t).\nAnswer: -2*(23*t + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 35. Let g(d) = d**3 - 7*d**2 - d - 1. Calculate g(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9834 - -13009. Calculate the greatest common factor of b and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2ba (base 16) to base 5\nAnswer: 10243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 245\/(-7)*(-132)\/14. Let c = 9293\/12 + -774. What is the common denominator of c and (-3)\/3 - m\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*u - 7, -2*u = -5*k - 10 - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (7 + 1 - (51 + -27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p. Let u(f) = 5*f. Let q(i) = 11*a(i) - 6*u(i). Let m(o) be the second derivative of o**3\/6 - 2*o. What is m(q(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*g*y**2 + 19193*g*y - 54*y**2 wrt y.\nAnswer: -144*g - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 3, -2 in descending order.\nAnswer: 8, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 125 = -2*g + 153, 3*g - 2*y = -3. Let t(i) be the third derivative of i**5\/60 - i**2. Let q(n) = 2*n**2 - n. What is g*t(w) - q(w)?\nAnswer: 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = 2*o, 1781*o = -v + 1779*o - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49237903*h**5 + h**2 - 14177*h - 1960?\nAnswer: -984758060*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 77433*r - 77433*r + 19692*r**2 in the form s*r**2 + d + p*r and give s.\nAnswer: 19692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -p, 2*r - 3*r + 14918 - 14914 = -p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*(sqrt(684) + -2))*-3 - (1*(0 + sqrt(684)) - sqrt(684) - (sqrt(684) - (sqrt(684) - 1*sqrt(684))*-1 - sqrt(684)))*-3)**2*1.\nAnswer: -1296*sqrt(19) + 24948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = n + 45, 5*n - 136741*b = -136740*b - 183 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198965438 to the power of 1\/2, to the nearest integer?\nAnswer: 34626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w - 29. Let j(c) = 6*c - 28. Let q(l) = -2*j(l) + 3*o(l). Let p be q(5). Solve -2 + p = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6736858*p**3 - 13473720*p**3 + 6736863*p**3 - 675*p**2.\nAnswer: p**3 - 675*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3245 + -474. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -151, 2\/25, -4\/3, 3 in decreasing order.\nAnswer: 3, 2, 2\/25, -4\/3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:33 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**0)\/b))**(7\/8))**11\/((b**(-4)\/(b\/(b**(-3)\/b)))\/(((b*(b**(2\/7)\/b)\/b)\/b)\/b*b**(-3\/2))) assuming b is positive.\nAnswer: b**(807\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068162548 and 7.\nAnswer: 7477137836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(756)\/(sqrt(12)*1*-6).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680\/6*(-14 - 430\/(-20)) is divided by 283.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416487 is divided by 1640?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p - 2. Let c be l(-3). Suppose 16 = -4*a, 3*z - 10 = 4*z + c*a. Solve z = -3*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59 (b) -2\/7 (c) 1103 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 560416.5 centuries?\nAnswer: 56041.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.573616 to 1 dp.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42924524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 5*i**3 - 3*i**4 + 2*i**4 - 3*i**3 + 2 + i**2 as p*i**2 + v*i**3 + c*i + r*i**4 + o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 84519331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2. Let s(r) = 3*r**2 + 3*r + 3. Let c(m) = -4*m - 4. Let l(t) = 3*c(t) + 4*s(t). Give h(l(z)).\nAnswer: -720*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 870*y + 19845.\nAnswer: 5*(y + 27)*(y + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(288) + 2*sqrt(288)*-3) - (-3 + sqrt(288)*-2 + 1)) + -5)**2 + -4.\nAnswer: -1584*sqrt(2) + 139397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/6 - 712637*q\/3 + 507851493769\/6 = 0.\nAnswer: 712637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252254, -1009053, -2270394, -4036277, -6306702?\nAnswer: -9081669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrrx when four letters picked without replacement from rrxxdgvrdgvrrxvrvvrr.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**3*w + 10104731*o**3 + 2*o - 3262120*w + 31 wrt o?\nAnswer: -15*o**2*w + 30314193*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {c: 5, h: 2, g: 5, p: 1, n: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 0 (b) -2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 31*a + 343. Determine w(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 1)*(0*k - 2*k + 0*k)*(-4 + 2 - 6)*(1 - 2*k**2 - 1).\nAnswer: 192*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(2 - 1 - 4)*(-3 - 2 + 1)*(-c**3 - 2*c**3 + 6*c**3).\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1555 + 0.4555. What is the closest to -0.03 in -5, k, 3\/4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/198 and -62\/15.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322103031 + 123?\nAnswer: 11322103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 467.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/2, -2\/3, -7, -1067.9 in ascending order.\nAnswer: -1067.9, -7, -3\/2, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2616 - 39271\/15. Calculate the common denominator of j and -43\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1417134, 1417102, 1417070, 1417038?\n\"Answer: -32*j + 1417166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 124*n**3 - 11*n**2 + 11. Let s(l) be the second derivative of 31*l**5\/10 - l**4\/2 + 3*l**2 - 4355*l. Determine 6*q(y) - 11*s(y).\nAnswer: 62*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000011775 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 1. Let s be h(1). What is the tens digit of 153*(s\/3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -0.5, -2\/3, 13, -2, -2\/5, 3.39?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (573\/(-6))\/(6\/12). Let m = q + 191. Solve -3*o - 2*s + 2 - 14 = 0, -s - 3 = m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -7*n**4\/4 + 1029*n. Let s(m) = 6*m. Calculate s(x(q)).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d - 61*d + 304 + 1952 = 0 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45428, 45431, 45434?\n\"Answer: 3*j + 45425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552240 by -14160.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1359160 + 3063160. Suppose -3*g - 5*u = i, -4*u = g - 0*u + 568000. What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(17)*3 - (1 + (sqrt(1088)*2 - sqrt(1088)) + sqrt(1088)))**2.\nAnswer: 20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118336*c**3*q + 3*c**2*q + 33871*c*q - c - q + 2 wrt c.\nAnswer: 710016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-242)\/33 - 0 - -8. Which is the closest to 1\/3? (a) 0.15 (b) 0.5 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 181 = -44 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79652?\nAnswer: 2, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + l - 2. Let j be x(2). Let i = -7 - j. Suppose -3 = -2*o + i. Solve -2*w - 5*g - 12 = 23, 4*g + 30 = -o*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501989 is divided by 1874.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)*g\/(g\/(g**14*g))*g\/(g*g**(5\/8))*g*g\/(g**7*g)*g assuming g is positive.\nAnswer: g**(229\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a factor of 26600437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 143, 144, 145?\n\"Answer: w + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39153*j**4 + 12708?\nAnswer: 156612*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b598 + -2cd?\nAnswer: -1b887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*n - w, 0 = -3*n + 4*w - 6*w - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(143))\/(sqrt(11) + sqrt(792)\/sqrt(2))*4.\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**3 + t**2 - 5*t + 7. What is the units digit of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4916 divide 439691956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 - 19*u + 8. Let x be j(5). What is the second derivative of 16*g**3 - 25*g - 38*g**2 - 12*g + x*g**2 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/85 - -259\/170. Let t(b) = -b - 6. Let g be t(4). Let n be ((-15)\/g*1)\/6. Sort n, j, 0.1.\nAnswer: 0.1, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2734 by -1.\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195842565 to 5 decimal places.\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5984, -6151, -6422, -6797?\nAnswer: -7276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4\/5 - 491*c**3\/5 - 1529*c**2 - 21213*c\/5 + 15390 = 0.\nAnswer: -475, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnhg when four letters picked without replacement from {h: 6, g: 2, u: 3, n: 6, d: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 - -9668763337?\nAnswer: 9668763337.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 0. Suppose a*q = -q. Is q at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.7598 + -1.37993.\nAnswer: -23.13973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3\/(-6) + 962\/(-4))*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/46 - -89\/138. Let r = -46 - -52.1. Let k = r + -6. What is the biggest value in -4, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 3*q**2. Let r be i(-3). Suppose r = 4*y - 3*y - 4. Is -2 + 2 - (-204)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15420 and 700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 2*v)*(19 - 19 + v)*(7*v**2 - 4*v**2 + 7*v**2)*(-v + v + 2*v).\nAnswer: 40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*u = 6 - 36, -5*a - 4*u + 41 = 0. Suppose -2*w + 15 = 3*o, a*w = w + 12. Solve 3*m - 2*h - o = 0, -h + 5 = 3*m + 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*y = 46, -16*k - 15*k - 3*y = -30*k + 42 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**4 - 18811587*y**3 - 48782195*y**2 wrt y?\nAnswer: -24*y - 112869522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d9 + -9?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.3 times 30?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637880 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*y - 4*y**2 - 315*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 4*d + 1. Let o be u(3). Let y = o + 16. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183228*l + 183248*l + 1700 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32526 - 10616. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*n**3 - 32\/3*n**2 + 1080 - 132*n = 0. Calculate n.\nAnswer: -10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 10, -2*x + 3*k - 2*k - 118 = x + 12*k for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2. Let u(c) be the first derivative of 5*c + 1 + 0*c**2 + 25\/6*c**3. Let l(o) be the first derivative of u(o). Calculate l(h(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*p - 78 = r, -r - 41 = 3*p. Let a = -28 - r. Calculate the remainder when 11 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 8 - -10 - (3 - (5 - -8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 a, and 1 f when four letters picked without replacement from {l: 4, s: 3, f: 1, j: 1, a: 2, i: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-627) - (-45)\/165?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 45906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 2, z: 2, b: 3}. What is prob of sequence brz?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 - 40\/(-25 + 5). Solve 1\/2*i**w - 1\/2 - 1\/2*i + 1\/2*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 25*g**2 - 164*g + 120. Calculate the least common multiple of 25930 and z(13).\nAnswer: 207440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let x(p) = -759*p**2 + 6*p. Determine x(c(y)).\nAnswer: -3036*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2 - ((-76)\/112 + 88\/32)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1372 and 42748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 188, 645, 1534, 2999, 5184, 8233, 12290?\nAnswer: 17499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.95 + -3. Suppose 10*g - 2*g - 32 = 0. Suppose -10*n = -g*y - 8*n - 10, -n + 5 = 0. Which is the third biggest value? (a) y (b) p (c) 0.4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4466 + 2 + -27 - (3 + -1 + -8) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4170 + 187691\/45. Find the common denominator of f and -7\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1530584*g**3*z - 10*g**2 - 76*g*z - 167*z wrt g.\nAnswer: -9183504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 6. Let l(i) = 1. Let a = -7 + -3. Let v(h) = a*l(h) - 2*s(h). Suppose 9*r - 5*p + 3 = 6*r, 4*p = 12. What is v(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -87, -154, -249?\n\"Answer: -14*t**2 + 3*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1134832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -8 - (16 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g + 40 = -52*g. Calculate the highest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:03 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*b - 3 = 0, b = 4*j + 2067 - 2059 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8055 + 249601\/31. Is -3 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b03904 + -9?\nAnswer: b038d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + 2.7. What is the third smallest value in -2, i, 5\/2, -7\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 32. Let c(o) = o - 8. What is 18*c(b) + 4*i(b)?\nAnswer: 2*b - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25327, 51165, 77001, 102835?\nAnswer: 128667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let s(y) be the first derivative of -19*y - 25 + 9\/2*y**3 + 0*y**2. Let v(d) be the first derivative of s(d). Calculate v(j(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/60 + v**4\/6 + 11*v**3\/3 + 21*v**2 + 28*v. Let q be (-2)\/9 + 325\/45. Give h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5 - 3*n - 5*n - 2. Let h be i(4). Let j = 53 + h. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12384547 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2)*3 + (sqrt(2) - (1 + sqrt(18))**2).\nAnswer: -19 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357086927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 = 17, 3*x = 4*h + 3119. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/((z*z**(1\/2)\/z)\/z)*z*z)))\/z**(3\/16)*z\/z**(-1\/15)*z\/(z*z*z\/z**(-24)*z) assuming z is positive.\nAnswer: z**(-5429\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.36 - 7.24. Let u = 5.3 + -5. Let r = u + -0.1. What is the closest to q in r, 2, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 48*i**3 - 2*i**2 + 2*i. Let q be b(1). Suppose 138 = 50*u - q*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 22*w**2 + 3*w + 37. Give b(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 44*m**2 + 67*m - 1. Is 140 a factor of u(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = -2*a, -6 = 4*a + 3*l - 1. Let w be a - 7\/((-21)\/6). Calculate the greatest common divisor of w and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3143 (base 5) in base 10?\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8949617 to the power of 1\/2, to the nearest integer?\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 327. Calculate q(-48).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q + 1 - q**3 - 3\/4*q**4 + 0*q**2. Suppose a(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2715286 is divided by 1357575?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + -5)*-5 - ((sqrt(24)\/sqrt(128))**2 + sqrt(9)\/sqrt(3)*4).\nAnswer: -9*sqrt(3) + 397\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102*42\/(-24276))\/(-1).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*1 - sqrt(133))*-3)\/sqrt(7)*3)**2 + (-2*sqrt(228))\/(sqrt(12)*-1).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/20 + 4*w**3\/5 - 24*w**2\/5 - 3*w. Factor k(x).\nAnswer: -3*(x - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8946189*f**2*k - 71*f*k + f - 4362*k wrt f?\nAnswer: 17892378*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**3 - 4*d**2 + 13. Let u(n) = -4*n**3 + 2*n**2 - 6. Let j = -629 - -642. Calculate j*u(z) + 6*i(z).\nAnswer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 212, 228, 250, 278?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9*o**2 - 8*o - 5. Let g be s(8). Let f = g - -9. Suppose -5*u - 34 = -y, 5*y - f*u - u - 110 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 1 + 1 - 2*g + 2*g**2 + 2*g + (g + 0 + 0)*(-3*g + 2*g - g) + g**2 + 0*g + 0*g - 4 - 2*g**2 + 4 - 424 - 40*g**2 + 424.\nAnswer: -43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 - z + 20. Let d(b) = 9*b**3 - 2*b + 39. What is 2*d(t) - 5*m(t)?\nAnswer: -2*t**3 + t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 148835 divided by 4\nAnswer: 148835\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/88*3\/81*33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + (0 - 4))\/(-1). Let t be 5 + 3 - 1 - 2. Let a = -0.6 + 0.1. What is the closest to b in a, -2, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*d**2 - 9*d + 15*d - 6*d - 2*d**3 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -138879*u. Let f(q) = q**2. Calculate f(d(x)).\nAnswer: 19287376641*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 + 8.9. Let r = -3.9 + s. Which is the fourth smallest value? (a) r (b) 3 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311026 + 1?\nAnswer: -311025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {l: 5, z: 3, s: 3, k: 1, c: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/24 + 9*l**5\/20 - 23*l**4\/16 + 7*l**3\/12 + 3*l**2 - 4*l - 7. Solve f(y) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2438654*x. Let t(f) = -4*f. Give t(s(u)).\nAnswer: -9754616*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*m - 1348003 = 0, -5*m = 2*h - 3*h - 336995. Round h to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 2. Let f(q) = 4*q - 1. Give -2*f(p) - 3*r(p).\nAnswer: 13*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437454.\nAnswer: 2, 3, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*n**5 - 289220*n**3 - 10*n**2 - 1612632*n wrt n?\nAnswer: -5640*n**2 - 1735320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 4*u + 54 = 5*u, 144*u = 149*u - 50 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21407923?\nAnswer: 21407923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppcccccdc. What is prob of picking 1 c and 1 p?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/290 and -6\/145.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(5 + (0 + sqrt(288))**2 + -3 + sqrt(288) + sqrt(288) + -2)*3.\nAnswer: 360*sqrt(2) + 4319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -23981 - 50839 + 24000. Calculate the greatest common divisor of n and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -37. Let l(s) = s**2 + 11*s - 24. Let c be l(m). Let i(f) = f**2 + 6*f - 15. Let r be i(-8). Solve -c*b - 3*a + 11 = r, -5*a = 2*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45) + 4 + -5)**2.\nAnswer: -6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0456*-1.5.\nAnswer: -0.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 36. Suppose 180 = r*c - c. Let y = -24 + c. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(20)*-2)\/sqrt(10) - -6*(1*sqrt(2))**2).\nAnswer: -2*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7470 and 28137.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - g + 2. Let v be q(2). Let s be v\/9 + 4\/(-6). Let m = 2 - s. Put -1, -3, m in increasing order.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1984?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-27) - 133\/(-9). Solve -m = 2*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7)*c*c**(3\/2)*c*((c\/c**(-5))\/c*c)\/(c*((c*c**(-8)*c*c*c)\/c)\/c))**(-28))**41 assuming c is positive.\nAnswer: c**(-9758)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8988\/(-105) - -84)*(-1)\/132?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*x = 2*x - 22, -r = -x + 2. Suppose 3*s = -a + 11, -4*a + r*a - 7 = -3*s. Calculate the remainder when (-4 - -3)*-18 - s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:16 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 9*k - 12*k**2 - k**3 + 14*k**2)*(4 + 8 - 2)*(2*k**2 + k - k).\nAnswer: -20*k**5 + 40*k**4 + 200*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 3*m**2 + 2*m**2 + (0*m - 3*m + 2*m)*(3*m + 2*m - 7*m) + 8*m**2 - 5*m**2 - 9*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 55. What is the second biggest value in h, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + -1 - (5 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29766655 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + (53 - 21 - 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 7 (c) 0 (d) 1\/9 (e) -60\/13 (f) -93.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8958 = 2*k + 8936, 2*b - 17*b - 41 - 12 = 2*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose n*s - s = 0. Suppose 0 = -3*k - s*k - 5*w + 17, w - 1 = 0. Solve -5*q + 2*j + 13 = 6*j, k*q - 2 = j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 11*v. Let a be i(11). Suppose a = -4*b + 125 + 15. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l. Let r(x) = -x**3 - 11*x**2 + 2*x + 15. Let z be r(-11). Let o be n(z). Let s(i) = -i + 4*i - i - o - i. Determine s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 51. Let q be a(-24). Suppose 0 = -s + 159 + q. Let c = -12 + s. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:39 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 560\/3 - 21838\/117. Let w = m + -28\/117. Which is the second biggest value? (a) -9\/5 (b) 2\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4192 in -2, -4, -4\/3, -129?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 10)*1*10\/(-20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4477 and 82492388?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*n**4\/4 + 5115*n**3\/2 - 350883*n**2\/4 + 34782*n - 3468.\nAnswer: -3*(n - 68)**2*(5*n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (-7399)\/(-147))*((-58)\/20 - -3).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-4)\/2 + 4). Suppose -a + t = -12. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -19. Let z = -7 + c. Let p(n) = -n**2 + 4*n. Let s be p(z). Solve o = -s*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 + 2*b**2 + 3*b - 3. Let i be m(2). Let w = i + 57. Suppose -5*g + 27 + w = 0. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -52. Suppose -4*z + f = -v, v + z - 9 = 2*z. Calculate the remainder when 52 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {s: 2, y: 1, d: 2, w: 1, j: 1, o: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 8*r**2 + 13*r + 12. Let n be a(-8). What is the highest common divisor of n and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -2*g - 275. Solve -5*o = 4*u + 17, -g*o + o - 11 = 3*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r - 15*r**3 - 3*r**4 + 20*r**2 - 6*r - 27*r**2 - 17*r**2.\nAnswer: -3*r*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:17 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.7316 and -0.15?\nAnswer: -1.00974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*p - 663 = -223*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -22. Suppose -5*y + 39 = -m*y. Solve -2*h = i + y, -5*i + 2*h = h + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(2*sqrt(4)))\/((sqrt(80) - (sqrt(80) - 2*sqrt(80)))\/sqrt(10)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26371107 and 141571206.\nAnswer: 2689852914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826, 3303, 7432, 13213, 20646?\nAnswer: 29731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, 7\/2, 13, 3\/8, 4 in decreasing order.\nAnswer: 13, 4, 7\/2, 3\/8, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.281 and 0.3.\nAnswer: 1.8843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 1, 23\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 4*q - 9*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - f + 34, -5*d + f = -38. Suppose -2*s + 4*v = d, s - 4*s + 2*v + 4 = 0. Solve -12 = -3*w, -s*t + 0*t = -2*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, e: 2}. Give prob of sequence gee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s\/(s\/s**(-9))*s*s))\/(s**2\/s*s*s**(-2\/15)\/s) assuming s is positive.\nAnswer: s**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -0.24, -19, 3\/7, 5 in decreasing order.\nAnswer: 5, 3\/7, 3\/11, -0.24, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 1. Let b(z) = -11*z**2 + 2*z + 2. Let a(p) = b(p) - 2*f(p). Let o(x) = 6*x**2. What is a(o(j))?\nAnswer: -396*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -5, 0.15, 3\/8 in ascending order.\nAnswer: -5, 2\/33, 0.15, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*g**5 - 6183*g**4 - 546524*g wrt g.\nAnswer: -620*g**3 - 74196*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 531768619 - 0.4\nAnswer: 531768618.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -863, -1727, -2591, -3455?\nAnswer: -4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*v - 5, 144*v = 139*v - 5*c - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159541413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 104*n + 3 = 4*c + 2*c + 102*n, 84*n + 168 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - 185*c**3 + 4 + 6*c**4 + 6*c**2 - 1 + 181*c**3 - 5*c**4 - c in the form t*c**3 + j + p*c + o*c**4 + s*c**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3979078, -15916351, -35811816, -63665473, -99477322, -143247363?\nAnswer: -194975596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 266*i**2 - 540*i.\nAnswer: 2*i*(i - 135)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k + 120 = 112*k. Let a be (-2)\/(1\/5*-2). What is the greatest common factor of k and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330449*1.\nAnswer: -330449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/7445097?\nAnswer: -2\/7445097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 4*l - 11*v + 20*v + 139, -2*v + 98 = -3*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.27 - -0.57. What is the nearest to c in 3, -0.08, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 16 = 116. What is the remainder when 2\/(-4) + (-158)\/(-4) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 t when three letters picked without replacement from {e: 2, z: 4, t: 7, b: 3, c: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - -33778.\nAnswer: 33778.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10*-425399\nAnswer: -4253990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141\/(-9306))\/(2\/(-231)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from mmimiioio?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 9*f**2 - 10*f + 0*f**2 + 9*f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 25, 1 in decreasing order.\nAnswer: 25, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 1\/6*d**3 + 7\/2*d**2 + d + 0. Let c be -6*2*((-72)\/(-16) - (-2 + 7)). Determine g(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*t + 6, 2*t + 4*m = t - 14. Let k be ((-1)\/(-4))\/(t\/(-16)). Suppose 3*v - 7*v - 3*j = -9, 2*v + 2*j - 6 = 0. Is k at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let k(i) = -i**3 - 14*i**2 + 23*i + 34. Let m(t) = -k(t) + 5*v(t). Let o be m(-15). Suppose -o*q - 19 = -514. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z**3 + z - 9. Suppose 0 = -768*x + 771*x - 6. Let v(i) = 7*i**3 + 2. What is x*q(f) + 9*v(f)?\nAnswer: 9*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9775 - 4899 + 3*i + 2*i + i - 4876.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (364 + -365)*(-48)\/9*(5 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 4. Let b be q(7). Let g(s) = s**3 + 11*s**2 + 5*s + 5. Let j be g(-3). Suppose 0 = 3*i + 17 - j. Solve 2*l + 11 = -y - b*l, 3*y - i = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 40\/11 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2. Suppose -4*v = z + v - 18, 0 = -z - 3*v + 10. Let i be y(z). Solve 2*s + i = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 40 = 5*c, 5*d = -0*d - 3*c + 100. Suppose 0*y = -5*y - d. What are the prime factors of 38\/3 + y\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-4\/5)*w*w*w*w**(-18) assuming w is positive.\nAnswer: w**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -20, -3, -319.\nAnswer: -319, -20, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) -0.4 (c) -2 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3047, 3046, 3045, 3044, 3043, 3042?\nAnswer: 3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.06 - 147.06. Let d = 144.9 + j. Sort d, 5, 0.05.\nAnswer: d, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a6 - -5?\nAnswer: -13a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1031912 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + m - 31 = 0, -7*r = -3*r + 5*m - 77. Suppose r*t = 9*t - 16. Let u = 65 - t. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let u = 30 - 10. Suppose z + z - u = 0. Solve -z = f - p*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = -4*i, 4*u - 19 - 7 = -3*i. Let x be 0 + -1 + i + (-6 - -8). Let r(l) = 6*l + 12. Is 10 a factor of r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 3*z + 2. Let c(q) = q**2 - 2*q**2 + 3*q + 9 + 2*q**2 - 11*q. Let w be c(7). Let m be k(w). Solve -17 = m*a + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p**2 - 196*p - 344. Give r(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 + 4 = 0, -4*h - 12 = -5*o. Let u(c) = 2*c**2 - 4*c**h + 4*c**2 - c**2. Let m(v) = 8*v - 3. Determine u(m(n)).\nAnswer: 64*n**2 - 48*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 968386 divided by -968386?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -12. Sort 0, h, 5 in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-10)*30\/27. Which is the third smallest value? (a) s (b) -1\/3 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9991?\nAnswer: -3\/9991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16144074 is divided by 120?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 4*k - 5)*(-759 - 308 + 180).\nAnswer: 3548*k + 887","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 8:12 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109253 or 1\/3?\nAnswer: -109253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19552 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 53+-13715819.3\nAnswer: -13715766.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 37476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**3 - 2110000*h**2 + 44499276*h?\nAnswer: -54*h - 4220000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6232*k*u**2*w**3 - 2319*k*u**2*w**2 - 2*k*u**2*w - k*u*w**3 + 73*k*u*w**2 + 4*w**3 wrt w.\nAnswer: -37392*k*u**2 - 6*k*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*r = -400*r + 987*r + 27100 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616 + 0.4335?\nAnswer: -2615.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/20 + p**4 + 11*p**3\/3 + 4*p**2 + 160*p. Let c be d(-6). What is the highest common factor of 230 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9ec (base 16) to base 12.\nAnswer: -1578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let j(n) = -n**2 + 2*n + 1. Let d be j(g). Let u(o) = -34*o - 1. Is u(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 27*b + 22*b + 13*b as z + q*b and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11.4. Let f = -11.91 + 12. Let m = -4.91 - f. Which is the third smallest value? (a) -0.4 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -1\/14*x**2 + 8\/7*x - 277 - 8\/21*x**3 + 1\/28*x**4. Factor d(q).\nAnswer: (q - 8)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.160069 to 4 decimal places.\nAnswer: 0.1601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1372105852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.61 - 53.29. Let z = p - -67. Which is the closest to -0.3? (a) 5 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011111001 + -101?\nAnswer: -10011011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*4*(-2)\/(-8). Suppose 0*o - o = -h. Suppose -48 = -4*l + 2*l. Calculate the highest common divisor of l and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/5 - -14*6\/(-210). Let w(y) be the first derivative of -1\/27*y**3 - 16 - 1\/18*y**q + 2\/3*y. Determine o, given that w(o) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 42*r**2 - 184*r + 1512. Calculate j(19).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -133. Suppose 2*o - 334 = -0*o. Let k = v + o. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*d + 31, -5*d + 0*o + 48 = -3*o. Let x = 3 - d. Is -6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2090 divided by -10.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 91717.19 days?\nAnswer: 7924365216000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*j**2 + 12*j + 48 = 0. What is j?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 bigger than 446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-7*i + 479 - 5*i - 475).\nAnswer: -24*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-438 + 1080 - 355)*(w**4 - 9*w + 9*w + (2 - 1 + 0)*(w**2 + 2*w**4 - w**2)) in the form m*w**3 + r + s*w + d*w**4 + c*w**2 and give d.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 - -389. Let t = g + -86. Let s = 115.00061 - t. What is s rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*15300\/(-1950)*26\/(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 365, 375, 399, 443, 513, 615, 755?\n\"Answer: x**3 + x**2 + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/(-210))\/((-3)\/2*2\/2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, 1\/42, -5\/3 in descending order.\nAnswer: 1, 0.7, 1\/42, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7542261, -7542262, -7542263, -7542264?\nAnswer: -7542265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, -5, 26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 490242 and 1470726?\nAnswer: 1470726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(4\/21))**(-1\/17)*((b\/b**(1\/3))\/(b**(-3\/7)\/b))\/((b\/(b\/((b*b**(1\/2))\/b)))\/b)**(-1\/24) assuming b is positive.\nAnswer: b**(11881\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 475463, 475462, 475461?\n\"Answer: -x + 475464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11519 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**2 + 80*z + 1. Let b(u) = -9*u**2 - 41*u - 1. Calculate -5*b(o) - 3*i(o).\nAnswer: -3*o**2 - 35*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41020518556 - 41020518556 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*x - 36*x + 45*x)*(-1 + 6 - 8) - x + 2 - 2 to the form w + h*x and give h.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44668 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6229790 divided by 23.\nAnswer: -6229790\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -229346?\nAnswer: -3\/229346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -867*o**3\/5 - 10592037*o**2\/5 + 1246131*o\/5 - 36651\/5.\nAnswer: -3*(o + 12217)*(17*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05849634 rounded to four decimal places?\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 113.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13744.7528 to zero decimal places.\nAnswer: 13745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11386451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -236*r**2 + 313?\nAnswer: -472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x**5 - 19971*x**4 + 3026991*x**3 - 5005101*x**2 + 2330694*x - 332640 = 0. Calculate x.\nAnswer: 1\/3, 1, 210, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 15. Let j(w) = -w**2 - 2. Let h(p) = 3*p - 2 - 3 + 8. Let y be h(4). What is y*j(i) - 2*u(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*k - 1326*k + 39 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 134 + 76. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*r + 24308 + 22936 = 13452 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 963*n + 1066. Let b(j) = 12*j + 1. Let t(z) = b(z) - x(z). Differentiate t(i) with respect to i.\nAnswer: -951","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9546568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 34 - 49 = 9 + 92 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + u + 0*u)*(5*u**3 - 3*u**3 + u**3) - 3*u**4 + u**4 + u**4 as t*u**3 + y*u**2 + k*u**4 + x + g*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 906 - 905.8. Suppose -3*w = 2*w - 25. What is the second smallest value in u, -2\/5, w, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d - 4*d. Suppose -55*m + 12*m - 88 = -65*m. Sort d, 6, 3, m.\nAnswer: d, 3, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/44848 and -29\/246664.\nAnswer: 493328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -2 - (-8 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4814*j**3 + 7*j**2 + j - 3. Is t(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -373\/3. Let g be (-6)\/(-15)*(-30)\/(-18). Solve 0*c**3 + 0*c + g + h*c**4 - 4\/3*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 2, s: 2, c: 2}. What is prob of picking 2 s and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = p, -823 = 5*x - 4*p. Let w = -116 - x. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-1184)\/23088).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose u = -u. Suppose u = 2*m + 5*a + 1, -m = -a - 2 - 1. Solve -3 = m*s + t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 4*p**2 - 2*p - 1. Let t = -29 + 42. Let w = t - 9. Suppose 0 = 2*a - 3*l - 2, l + w = 2*a - l. Give y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*((-48)\/270 + 2\/(-9)). Let p = 3 + -12. Let d = q - p. Solve 4*r = -d*m + 8, 4*r = 2*m - 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 - (9 - 13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1088)*2 + -3 - ((sqrt(1088) - (sqrt(1088) + -2)) + -5 + 4))**2 + -3.\nAnswer: 768*sqrt(17) + 156685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h + 4, -5 = -x - 5*h. Let u(t) = -45 + 88 - x*t - 43. Let f(i) = -9*i. Determine f(u(v)).\nAnswer: 135*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4 + 34*k**3*r**2 - 56*k**3 + 2*k**2*r**2 + 18*k**2*r + 9*k*r**2 + 6*r**2 wrt k?\nAnswer: -24*k + 204*r**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.8. Let d = 0.18 + p. Let x = d + -0.9799957. What is x rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 5*s**2 - 2*s + 1. Let o(y) = -9*y - 158. What is the lowest common multiple of u(4) and o(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 + 5*s + 2. Let a be b(-3). Let o = a - -9. Suppose o*z + 0*l + 5*l = 35, z - 11 = -2*l. Solve -i + 8 = z*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h**2*w**3 - 4*h*w**3 + h*w**2 - 204*w**3 - 2*w**2 wrt h?\nAnswer: 12*h*w**3 - 4*w**3 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 74*z**3 + 11 + 6*z**2 - 49*z**3 - 30*z**3. Let w(v) = -v**3 + v + 1. Let f(m) = q(m) - 4*w(m). Give f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/8))**42*(o**(-9)*o)\/(o*o**(-2\/21)))**(-26\/3) assuming o is positive.\nAnswer: o**(26923\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 150?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38742.2 millennia in centuries?\nAnswer: 387422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 7 + 4*f - 5*f**2 + f**3 + 2*f. Let m be (-9)\/6 + (-9)\/2. What is the units digit of t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -103. Suppose o*w = 5*q + 96, -w = -2*w - 3*q + 18. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s**2 - 144*s - 54*s**2 + 145*s)*(5*s**2 - 5*s**2 - 2*s**2).\nAnswer: 164*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 - 5*f**3\/3 + 7*f**2 + f. Let q be b(10). Suppose -2*p - q = -4*v, v + 4*v = 10. Which is smaller: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*c - 6 = -0, -3 = c. Factor 6*f**o - 9 + f**3 - 2*f**3 - 3*f**2 - 2*f**3 - 15*f.\nAnswer: 3*(f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*48\/(-40)*(-1)\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -618 - -624. Let t be (-435)\/(-58)*1\/s. Solve h + t*h**2 - 1\/4*h**5 + 0 - 3\/4*h**3 - 5\/4*h**4 = 0 for h.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + 2a1857?\nAnswer: 2a196a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14175?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.07 + 83.93. Let z = p - 89. Which is the closest to -2\/3? (a) -6 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + sqrt(30)\/sqrt(10))**2 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 4*f - 4*f)*(5 + 4 - 5)*(1 + 0 + 0) in the form b*f + p and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1333*q**3 - 93*q - 93. Let h(c) = -29*c**3 + 2*c + 2. Determine -93*h(y) - 2*v(y).\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.227383994?\nAnswer: 0.427383994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4410 = 17*m. Let i be (-3)\/(-2)*(-56)\/m. Which is the second biggest value? (a) -0.2 (b) i (c) 0.5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 3*b**2 + 5*b + 2. Let l be d(5). Let i = 58 + l. Suppose -p - 4*f + i = 13, -3*p + 30 = 3*f. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - l + 5)*(-6*l + 10*l - 34*l - 11*l).\nAnswer: 41*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 7\/19 (c) 2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9078397?\nAnswer: 9078397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 42. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*g + 5, 0 = -8*w + 11*w - 4*g + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*u = -44, -19*u - 5804 = -z - 5954 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*h**3*i*t**2 - 40*h**2*i - h*i*t**2 - 80*h*t**2 - 2*h*t - 8*h wrt h?\nAnswer: -726*h*i*t**2 - 80*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/6 - (-4)\/1. Suppose -8 = 5*h + 2*f, u*h - 3*f = 8 + 4. Solve v + 4*c + 1 = 3*c, 3*v - c - 9 = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -1. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, i: 3, j: 2, f: 2, w: 2}. What is prob of sequence fwxf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((2 + sqrt(98) + sqrt(98) + sqrt(98) + 1)*2 - (sqrt(98)*2 + 4 + -4))*4 + -5)**2.\nAnswer: 4704*sqrt(2) + 25529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**2 - 15*z**2 + 4*z**2. Let w(l) = -11*l**2. Determine i(w(f)).\nAnswer: -121*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12*q + 117. Calculate s(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*p - 82, 40 = 2*p - 4*c - 22. Let v be ((-6)\/16)\/(p\/(-26)). What is the nearest to 1 in -3\/5, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101001001010000 - -111111?\nAnswer: -1000101001000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -c + 2*l, 0 = 5*c + 3*l - 46. Calculate the smallest common multiple of 7 and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10137461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6843 - 41179\/6. Find the common denominator of (63\/140)\/(2\/84)*1\/6 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 less than -11887159.1?\nAnswer: -11887151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267\/(-9)*120\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.083*-11\nAnswer: -0.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333 + 2377 = 22*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 901, 1793, 2675, 3547, 4409, 5261?\n\"Answer: -5*g**2 + 907*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/17 - 5854*c**2\/17 + 4298262*c\/17 - 21345210\/17.\nAnswer: 2*(c - 1461)**2*(c - 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjerreryrreryyttea. What is prob of picking 1 y, 1 r, and 1 j?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2 - 7*p + 25. Let v be m(3). Let t = v - -21. List the prime factors of t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by -5\nAnswer: -164\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12\/7 (b) -2\/9 (c) 2\/9 (d) -9.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -133, -247, -385, -553, -757, -1003, -1297?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2873251 or -2873244?\nAnswer: -2873251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 10. Let i be j(8). Let z be i\/(-3*2\/(-207596)). Let a = 202404 - z. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - (1 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -142*g - 27. Let u(q) = 126*q + 26. Calculate 6*u(z) + 5*x(z).\nAnswer: 46*z + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24696531, -24696532, -24696533, -24696534, -24696535, -24696536?\n\"Answer: -c - 24696530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r - 20. Let v be t(4). Let s = -28 + v. What is the remainder when 94 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**2 + 641*c + 21. Let y(w) = 9*w**2 - 321*w - 12. What is 4*v(a) + 7*y(a)?\nAnswer: -a**2 + 317*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70.3 + 1329145.\nAnswer: 1329074.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4783 + -52615\/11. Which is the third biggest value? (a) -0.5 (b) 4 (c) v (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -n + 18 - 6, -2*v - n + 21 = 0. Let m = 10 - v. Is m\/(((-2)\/191)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 3. Let z(q) = -6*q + 3. Suppose -84 = 8*b - b. Let w be 0*(-2 - b\/4) - -5. Give w*a(f) - 4*z(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11767 + -5960. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 677 and 14217?\nAnswer: 14217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let q(b) = 2*b. Let m(l) = -4*f(l) - 9*q(l). Let z = 1 - 1. Suppose 2*w + z - 12 = 0. Let p(v) = 7*v. Give w*m(y) + 5*p(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2745, -5496, -8273, -11088, -13953?\nAnswer: -16880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419, -843, -1275, -1727, -2211, -2739?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 57, 76, 89?\n\"Answer: -3*b**2 + 34*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 2.99?\nAnswer: -0.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**5 - 5*j**2 + 18*j - 5. Let o(g) = g**5 - g**2 + g - 1. Let f(b) = 5*o(b) - u(b). What is the second derivative of f(h) wrt h?\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 93, 157, 235, 321, 409, 493?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 9*x**2 - 6*x + 8. Let j be f(-8). Let n = 14 + j. Let g be (700\/n)\/((-6)\/(-144)). What is g rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*i - 8, 2*b - 3*b - 1 = 0. Let t be (-1)\/(-1)*(5 - i) - 3. Suppose -3*v - 4*a + 642 = t, 4*v - a = a + 834. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -30547.\nAnswer: 1588444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20570.22l?\nAnswer: 20570220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + 2 + ((sqrt(1700) - ((sqrt(1700)*-2 - sqrt(1700) - sqrt(1700)) + 2))*5)**2 + -1)*3.\nAnswer: -15000*sqrt(17) + 3187812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 9, v: 2, i: 1}. Give prob of picking 2 v and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f. Let r(s) = -99*s**3 + 104*s**2 + 6*s. Let v(y) = -6*o(y) - r(y). What is the third derivative of v(z) wrt z?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, 0.3, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*d - 332 - 163, -2*u = 4*d - 330. Suppose -5*h + 2*b - 150 = -h, -2*b - u = 5*h. Let g = -29 - h. Solve -4*l + 2 = 3*k, 5*k + 2 = -l - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15442ac - -b?\nAnswer: -15442a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18114*f + 17970*f = 2016 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421863397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1371 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -67*h**2 - h - 1. Let c be j(-1). Suppose 92 = -2*l + 2*d, 2*d = 4*l + 290 - 104. Let q = l - c. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + 44 + -1 + (333 - 321)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 - 1 = 5*b, -2*t = -b - 17. Let z = -18 - -33. Calculate the remainder when z is divided by ((-18)\/(-10))\/(t\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n + 416. Let q be z(23). Solve -b - 2 = 3*p, p + q*b + 2 = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:32 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/11528 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 7923094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5*c - 21, -4*c = -12*n - 448 + 440 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1236147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00640956439 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980784 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -20, -3*m + 3 - 26 = a. Let q = m - -9. Suppose -2*z - 4*j + q*j + 36 = 0, -64 = -3*z - 4*j. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*u + 377?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 164, 350, 610?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4412197\/12 > -367683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.331 * -7\nAnswer: 2.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 4, 0.2324, 12\/31, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18091 + (-9)\/9*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-189*(-176)\/15444)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(190)\/(sqrt(90) + sqrt(10)) - sqrt(19)))*3)**2 - (-5 + -2 + sqrt(931))**2.\nAnswer: -15509\/16 + 98*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*v**4 - 43*v - 2 wrt v?\nAnswer: 3132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -972, -3435, -8224, -16113, -27876, -44287?\nAnswer: -66120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.6 + 4.4. Let r = -17 + u. Let y = r + -8.000017. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5856779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and -19\/261898.\nAnswer: 785694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m\/(m*(m**(-7)\/m)\/m*m))))\/m)\/(m*m**0))\/(m**(2\/3)*m**(-3\/7))*(m**4\/m**(4\/3))\/(m*m**0*m**(-1\/10)*m) assuming m is positive.\nAnswer: m**(387\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 10*q - 6. Let m be z(12). Suppose -17*u - 3 = -m*u. Let k = 9 + -4. Solve -u = k*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*t + 364, -3*q + 6*q + 392 = -5*t. Let m = t + 78. Solve 5*r + 3*x = -4, m*r + 2*x - 8 = 4*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*s - 5*z, -2*s + 93 + 3 = -z. Let r = 27 + 3. Suppose 2*y - g = s, -g - r = -y + g. What is the highest common divisor of y and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -53. Let r be (0 + -4)*15\/q. Suppose r*t + 91 = -3*o, 3*o + 33 = -t + 4*o. What is the common denominator of t and -53\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11337.55328 take away -0.3?\nAnswer: 11337.85328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 456\/6270*10\/(-16)*(-4)\/(-10)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2 - (3 + 7 + -9). Suppose 5*a - a = 5*c + 1733, -t*a = 5*c - 2110. What is the remainder when a is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n\/n**(1\/10)*n))))**(-46))**(-1\/15) assuming n is positive.\nAnswer: n**(-69\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 5, x: 12}. Give prob of sequence xx.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-6\/5))\/v**(12\/7))\/(v*v*v**(2\/11)*v*v)**(-11) assuming v is positive.\nAnswer: v**(1627\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-4.274.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, -28\/5, -2, -2\/53, 18?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from mrilrivrhli?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2001)\/5382 + (-2)\/(-52) - -3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9)\/((-2)\/(-15)). Suppose -d + t*m - 15 = 4*d, -4*m + 4 = 4*d. What is the units digit of (-1 + 2)*(0 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 206*n - 856.\nAnswer: 2*(n - 4)*(n + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:21 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1210.8 - -1206.8. Let c = -122\/329 + 4\/47. What is the nearest to c in a, 0.1, 5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542975865 to the power of 1\/2, to the nearest integer?\nAnswer: 39281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-526)\/1052)\/((-1)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 - 2*a**5 + a**2 - 3*a**5 + 9*a**2 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206889 - -206895. Suppose 3*o + 0*o - 3 = 0. Let u = 3 - o. Put 3, 0, u, v in decreasing order.\nAnswer: v, 3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, 4, -1, -30 in decreasing order.\nAnswer: 241, 4, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37881801.\nAnswer: 3, 19, 29, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 195*s**2. Let k(m) = 5*m + 6. Let u(t) = 3*t + 4. Let a(w) = 2*k(w) - 3*u(w). Calculate l(a(f)).\nAnswer: 195*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*l**4 + 2*l + 10027?\nAnswer: 648*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45*29915.\nAnswer: -43376.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)*a*a**(-1\/4))**(-12) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 2*f**3 + f**3 + 2*f**3 + f**3 - 4*f**3 + (-3*f**3 - 2*f**3 + 4*f**3)*((80 - 65 + 281)*(3 - 4 + 0) + 3 - 4 - 1).\nAnswer: 295*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - 1. Let i = -129.9 - s. Let g = -1.6 + 1.51. Which is the closest to i? (a) -3 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3*h**2 + 0 + 3 + 3*h**2 + h - h**3. Let u be q(0). Suppose 0 = 3*v + 1 + 2. Put 0, u, v in decreasing order.\nAnswer: u, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s - 15. Let x(f) be the second derivative of -1\/2*f**3 + 1\/2*f**2 - 36*f + 0. Determine x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/24265 and 15\/225559.\nAnswer: 25939285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 38. What is the second biggest value in 1, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224768 and 288?\nAnswer: 2022912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*h - 3*h = 4*h + 3*b + 14, 0 = -3*b - 2*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let r be y\/1*(-8)\/(-16). Suppose 4*z = -3*p + 11, 4*p = p + 4*z + 19. Solve 5 = -p*h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56210 + -10328?\nAnswer: -66538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -0*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 20*u + 4. Let d(p) = -4 - 5 - 5*p**2 - 1 - 9 + 100*p. Let a(b) = -2*d(b) - 11*i(b). Is a(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c. Let h(u) be the second derivative of u**3\/6 - u - 80. Let g(t) = -10*t. Let z(x) = 6*g(x) + 65*h(x). Calculate z(f(l)).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q + q + 6*q + 2*q. Let h(j) = -36*j + j**2 - 31*j + 67*j - 3*j**2. Calculate h(d(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.21 minus -1?\nAnswer: -7.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**4 - 8*k**3 - 13*k**2 - 3. Let i(w) = 3*w**4 + 8*w**3 + 14*w**2 + 2. Let b(g) = 6*i(g) + 4*m(g). Determine o so that b(o) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4486, 17593, 39322, 69673, 108646, 156241, 212458?\n\"Answer: 4311*a**2 + 174*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 52558740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.983 and -19.8.\nAnswer: -22.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21056179*y**3 - y**2 + 11767*y + 4222 wrt y?\nAnswer: -126337074*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(-3 - 1 + 2) + (-2 - 3 + 6)*(-q + q - q - 5).\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 47*g + 111*g - 45*g - 36*g to the form i*g + u and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16 - 11*d + 50*d - 21 wrt d?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**9*z)*z**(-1\/6) assuming z is positive.\nAnswer: z**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 805*n + 808*n + 93, f = -5*n - 135 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 229714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3331 + -0.05.\nAnswer: 5.2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 3*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 141. Let r = -39.94 - i. Is r > -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -8*n**4\/9 + 472*n**3\/9 - 3481*n**2\/3 + 354*n + 2. Factor t(s).\nAnswer: -2*(4*s - 59)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1509 and -57\/18263930?\nAnswer: 54791790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111001 (base 2) to base 11.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (2*sqrt(75) - sqrt(75)) + (sqrt(75) - (sqrt(75) - (1*sqrt(75) + sqrt(75)))*4))*2*-6)**2*4.\nAnswer: 172800*sqrt(3) + 1569600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 31*h**3 - 183 - 57 - 157*h**3 + 299.\nAnswer: -188*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 - n**2 + 2 - 2 - n**2 + (4 + 11 + 7)*(-2*n**2 - 2*n**2 + n**2).\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 11. Let b be w(6). Is (1 + -234)*(-6 - b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62354506867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -3, -13, -2, -5 in decreasing order.\nAnswer: -2, -3, -5, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - 136*b - 768. Give h(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2421\/7 or 347?\nAnswer: 2421\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 100. Let w = -35 + m. Is 15 a factor of 2030\/16 + w\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2 + 2)*(-2*w**3 - 2*w**3 + 2*w**3) + 18*w**4 - 29*w**4 - 33*w**4 + (-2*w**3 + 6*w**3 - 3*w**3)*(w - 5 + 5).\nAnswer: -41*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31 - ((-247)\/(-76) + (-2)\/8). Suppose 4*j - j - u = 17, -2*j = -4*u - n. Solve -2*v + 6*v = j*f + 8, -5*f - 2*v = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3410344 + -40?\nAnswer: -3410434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvwawwlxwxwla. Give prob of sequence al.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26545 is divided by 484.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5945 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - 3))*(-2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1992251641 divided by -6\nAnswer: 1992251641\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263*v - 8 - 39*v**3 + 2*v**2 - 332*v**3 + 231*v + 5 wrt v?\nAnswer: -2226*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 22 = -19*i. Calculate the greatest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482*i**2 - 226*i.\nAnswer: 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22556\/8 + (6 - (-65)\/(-10)).\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 + 211. Let b(p) = -3*p - 5. Calculate b(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)\/(-2)*-5 + (-943)\/184?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-324)\/90)*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*g + 4069 - 1474 = 0, -528 = -u - 4*g. Suppose -x - 516 = -5*x - 2*r, -4*x - 5*r + u = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) 4\/3 (b) -753 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 539 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 823877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = -5*y + 70, 3*y - 3*q - 81 + 99 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 994020 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - u - 1. Let k(l) = 10*l**3 + 2*l**2 - 8*l - 8. Calculate -k(p) + 8*r(p).\nAnswer: -2*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*o**3*z + 4*b**3*o**3 + 2*b**3*o*z**2 + 2*b**2*o**3*z - 180*o**3*z**2 - 2*o*z wrt z.\nAnswer: 4*b**3*o - 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - a + 40 = 41, -2*c + 23 = -5*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 9*v - 165. What are the prime factors of v?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {s: 4, p: 1, l: 1, i: 1, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -2*g + 5, -4*g + 10 = r. Suppose -4*f - 8 = 3*j, 5*f + 17 + 16 = r*j. Is (-4)\/10 - 197\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-33))\/(6\/27). Suppose -4*z + 354 = -f*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2. Let t(c) = 115*c - 107. What is i(t(j))?\nAnswer: 39675*j**2 - 73830*j + 34347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37037 + -10?\nAnswer: -37047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*f + 23 = 0, f - 2 = -1. Let t be -1 - 1 - (w + 3). Suppose 2*u - n - 2 - 18 = t, 5*u - 3*n = 50. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = 2*c, 0*r + 5 = -4*c + r. Let h(x) = -2*x**3 - 3*x**2 - x - 1. What are the prime factors of h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.2, 0.04, -7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67815, -135622, -203417, -271188, -338923, -406610, -474237?\n\"Answer: 2*j**3 - 6*j**2 - 67803*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -11. Let z(w) be the second derivative of -w**3\/2 + 15*w**2\/2 - w. Is z(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i - 6476 = 895. Sort i, -3, -4.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3 + 7. Let s be b\/((-3)\/216*-2). Let u = s + 78. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyhh when four letters picked without replacement from hyhhhlfhhyhnyyy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 10*a - 4*a. What is the biggest value in a, 3\/5, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8166 and 112.\nAnswer: 914592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**3 - 3*g**2 - 16. Suppose 0 = -0*b + 3*b - 3. Let d(x) = -x**3 + x**2 + x - 1. Let s(u) = b*p(u) - 6*d(u). Does 10 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(12\/(-32)). Let y be (-3)\/4435*k\/18. Let u = y + -263443\/26610. What is the common denominator of -27\/8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 530 in ascending order.\nAnswer: -4, -2, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*m + 310*m + 278*m - 135*m - 205*m to v*m + q and give v.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-37)*g\/(g*g\/(g\/(g\/(g\/(g\/g**(-1\/3)))))) assuming g is positive.\nAnswer: g**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 - 2*x + 3. Let y be f(-3). Solve l + 4 - 1 = y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3208)\/(-3)*(-336)\/(-448). Suppose -r + 2452 - o = 0. Does 75 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439023 is divided by 2090?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -5 - -4*1. Suppose l*p + 10 = 26. Suppose -5*o + 5 = -3*v - 0, 3*o + p*v + 26 = 0. Do -4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 318*(15\/(-35) - (-4)\/(-7)). Let f = r - -566. Let q = f + -122. Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 806*h**2 - 7005*h + 34281. What is a(-394)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2\/7 - 5909*v\/7 + 2628\/7.\nAnswer: -(v + 657)*(9*v - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*d**4 + 1095 + 11719*d - 11715*d - 280 wrt d?\nAnswer: 352*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 71.4. Let w = 12 - n. Which is the smallest value? (a) w (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyfayy. Give prob of picking 1 f and 1 y.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17273, -17280, -17287?\n\"Answer: -7*z - 17266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, h: 1, g: 3, y: 1, j: 6}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -11\/24*g**4 + 0*g**7 + 0*g**6 + 0*g**3 + 0*g**5 + 0*g + 0 + 3\/112*g**8 - 12*g**2. Find the second derivative of f(w) wrt w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + 14) - (-14 - 137 - -170).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 13. Let m be l(3). Let d(r) = 11*r**m + 4 - 7*r + 79*r**3 - 166*r**3 + 86*r**3. Let w be d(5). Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(4\/5))))\/x**6)\/((x**(-1)*x)\/((x*(x*x*x*x*x**(2\/15)*x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + 28*z**2 + 75*z + 38. Let s(b) = -2*b**2 - 2. Let g(v) = -l(v) + s(v). Factor g(j).\nAnswer: 5*(j - 8)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 29. Let y(b) be the third derivative of b**6\/120 - b**5\/20 - b**4\/8 - b**3\/2 + b**2. Let l be y(4). What is the smallest value in i, l, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81710 by 2.\nAnswer: -40855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 2033, 3096, 4179, 5288, 6429, 7608, 8831?\nAnswer: 10104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a - 28*a + 17*a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y + 69 - 204. Calculate the remainder when 17 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i*i*i**4*i)\/(i*(i\/i**(3\/2)*i)\/i*i**(1\/7)*i))\/(i**44*i**14) assuming i is positive.\nAnswer: i**(-667\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 912 = -5205. Let x = c - -20371\/10. Find the common denominator of -93\/22 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 - (37 - (13 + 3 - 7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h. Let i(r) be the first derivative of -r**4\/3 + 23*r**2\/2 - 3. Let a(t) be the second derivative of i(t). What is a(k(l))?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-696)\/40)\/(2\/10). Let k = a - -94. What is the units digit of k\/(14\/212) - (-1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-2 + (-5 + sqrt(162))**2)*-5.\nAnswer: -935 + 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:17 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -114.363?\nAnswer: -114.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/45 - 4\/18 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - (37 + -69)) + (-8 - -2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*m = -5, 3*m - 8*m = 4*b - 105. Suppose k + 5*p - 46 = 0, k - 3*p - 18 = b. Calculate the common denominator of k and 13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 9) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48))\/(1897\/(-1626))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)\/x**(-8))**(-6\/23) assuming x is positive.\nAnswer: x**(-39\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12275 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 9. Suppose -3*h + 392 = h - 2*v, -p*v = 3*h - 305. Suppose 7*j + h = 10*j. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n + 138. Let l be x(-46). Which is smaller: -3\/203 or l?\nAnswer: -3\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171592 (base 11) to base 12\nAnswer: 822a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + f = 12*v, -375*v + 3*f + 16 = 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 203600 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 1440966756*l + 173032099324763628.\nAnswer: 3*(l - 240161126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1399, 0, 6163 in increasing order.\nAnswer: -3, 0, 1399, 6163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w + 6*w + 2 + 13 + w in the form v + x*w and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -17*q**5\/60 - 3*q**4\/4 - 9*q**2. Find the second derivative of p(s) wrt s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52579594 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 - 4. Let f = -2 - -1.9. Let h = 0.3 + f. What is the second biggest value in -3\/2, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 8*n + 1. What is r(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*z = 3 + 7, 55 = 2*w + 3*z. Let p = 1171 + -1149. What is the smallest common multiple of p and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6301 + 6355. Which is the second smallest value? (a) -17 (b) -1\/6 (c) h (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - 1.1. Let p = o - -1.6. Let f = -1\/40 - 3\/8. Put p, 0.4, f in descending order.\nAnswer: 0.4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2024 = -486*c - 13042 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/2)\/(-9) - -1. Let i = -0.6 + -2.4. Let o = i + 3.2. Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425 by -3.\nAnswer: 425\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 2, r: 3, p: 1, z: 6}. Give prob of sequence dz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 3\/(-12). Let m(o) = 16*o**2. Let q be m(1). Let k be q + (i + 0)\/1. Solve 3*x + 2*x - 4*c + 5 = 0, 5*c = 3*x + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(200) - (sqrt(200) + sqrt(200)*-1)))\/((sqrt(168)\/sqrt(3))\/sqrt(7)))\/((2*sqrt(1260))\/(sqrt(175) - -1*sqrt(175))).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -243\/500?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 7*p**2 - 2. Let y(n) = 5*n**3 + 7*n**2 + 3. Give 3*o(a) + 2*y(a).\nAnswer: -5*a**3 - 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 58587*s - 6 = 29297*s + 29289*s, 48*n + 332 = 4*s for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1296314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4227548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*r + 30*r + 51. Let s = -25 - r. Suppose -z - 5*c + 23 = -2*c, 4*c = -z + s. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10027?\nAnswer: 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 87 + 0*v + v**2 - 4\/3*v**3. Let l be 3 + -2 + 2\/2. What is y(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1589, -3109, -4615, -6107?\nAnswer: -7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 936, 1009, 1122, 1269, 1444, 1641, 1854, 2077?\n\"Answer: -j**3 + 26*j**2 + 2*j + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2170017 and 205245.\nAnswer: -1964772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 43*g = 3*j + 45, -4*j - 188 = -4*g. Calculate the greatest common divisor of 804 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*(p*p**(-28))\/p*p)*p\/(p\/p**(-2\/11))*(p\/(p**15\/p))\/(p*p*p**(-2\/59)*p) assuming p is positive.\nAnswer: p**(6394\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 69. Let g be 26\/x*(1 + -1 + 3). What is the highest common factor of 16 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*v = 1295*v + 408 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(-2) - (-6)\/(-60).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)*(2 - (-14)\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let c be 1\/(-3*l\/24). Suppose 0 = -17*b - 31 - 3. Put 4\/7, b, c in decreasing order.\nAnswer: c, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 4. Let k(y) = y. Suppose -2*d = -s + 11, -95*s + d = -93*s - 4. Determine s*z(j) + 4*k(j).\nAnswer: 5*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 - -422. Let w = x + -121. Suppose -w = -5*n + 37. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202090330 to the nearest integer?\nAnswer: 14216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.1 (b) -1 (c) -3\/4 (d) -4 (e) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1415264 and 0.1.\nAnswer: 0.21415264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -10*w - 1\/25*w**5 - 2\/3*w**3 + 0 + 4\/5*w**2 + 4\/15*w**4. Suppose b(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -420 + 8818\/21. What is the third smallest value in 2, g, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18372841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lla when three letters picked without replacement from {l: 3, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*j**2 - 6524325 + 13950*j + 8*j**2 - 3205800.\nAnswer: -5*(j - 1395)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/33, 14\/9, -1\/3, 0.1, 643?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/7 - 4*n**3\/21 + 29. Determine u so that m(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251735 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -268*f**3 + 10*f**2 + 5*f + 4. Let v(m) = -266*m**3 + 12*m**2 + 6*m + 4. Determine -6*n(h) + 5*v(h).\nAnswer: 278*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, -20, -1, -5, 3 in increasing order.\nAnswer: -20, -5, -1, 0, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/295113 and -45\/112424.\nAnswer: 2360904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l - 20, 4*g - 108 = 4*l. Suppose 28*p + 30 = g*p. Let w(q) = -2*q**2 - q**2 + 4*q**2 - 6 + 4*q. Give w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 381812 and 11024?\nAnswer: 19854224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 1\/2*f**2 + 11*f - 112. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(35\/(-2)))\/((-9)\/(-45))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 2*c + 4. Let r(z) = 9*z**2 + 12*z - 21. Let m(n) = -5*r(n) - 24*w(n). Find f such that m(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9780419, -19560838, -29341257, -39121676, -48902095, -58682514?\n\"Answer: -9780419*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 8*x**2 + 4*x - 7. Suppose 5*f = -3*q + 28, 28 = 5*f - 3*f - 3*q. Is 14 a factor of n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532\/14 - (-8 + 32) - -30?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.02. Let q = 0.3 - z. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.632593 micrometers in millimeters?\nAnswer: 0.008632593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**3 - 6680*j**2 + 11165*j - 4470 = 0 for j.\nAnswer: -447, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*i - 836 = 659*i - 318*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -2\/3 (b) -10.9322 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4174638 times -18?\nAnswer: 75143484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 4*r - 8. Let m be o(-6). Suppose 4 = j + 2*q, 2*j - 5*q = -q + m. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -273. Suppose m*x = 5*x. Solve f - 2*f = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - 4.94. Let r = 2 + -6. Which is the nearest to -0.2? (a) r (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78734892 and 2136218.\nAnswer: 551144244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 + 5*m**2\/2 + 2*m - 30. Let p be (6\/(-5))\/((-3)\/15). Give t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/13, 0, 99, 3\/2 in descending order.\nAnswer: 99, 3\/2, 11\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58766?\nAnswer: 2, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11900?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*l - 29 = 0, -3*l + 10 = 3*f + 2*l. Suppose -f*q + 62 - 20 = 3*y, 3 = -3*y. What is the smallest common multiple of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 375655*g**4 - 93*g**2 + 47548849*g wrt g?\nAnswer: 4507860*g**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11235831 divided by -3745277.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3791*d - 14298. Calculate the remainder when h(7) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 49103292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 1)*((7 - 3 - 3)*(d - d + 2*d) + 2 - 2 + 2*d + 3*d - 14 + 14 - 5*d + 4*d + 2*d + (4 - 4 - 1)*(2 - 2 + 2*d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(9\/(-12) - -2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:11 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21418 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-52)\/(-44) - (-10401)\/33. Suppose 0 = 4*o + f - 767. Which is greater: o or 112?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, w: 2, f: 1, h: 1, r: 3, s: 4}. Give prob of sequence rfrh.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110.9545 - 111. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -14492786\/149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-9) - (-122)\/(-549). Let t be 343997 + 1 + z\/(-3). What is t rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**3 + 32*i**2 - 8*i + 16. Let g(o) = 5*o**3 + 15*o**2 - 3*o + 8. Let r(x) = 9*g(x) - 4*k(x). Determine r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 268*y + 144. Let x(j) = -268*j - 123. Determine -6*u(b) - 7*x(b).\nAnswer: 268*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152*h*w + 233*w wrt h?\nAnswer: -152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3558222671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5 + 5)*(-34 - 307 + 18)*(2 - 1 - 2).\nAnswer: 1292*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 6*i + 3. Let l be w(-11). Let z = 20 + l. What is the least common multiple of 12 and z\/6*(-6)\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3840) + 1*sqrt(3840) + sqrt(3840))*-5)\/(1*1*2*sqrt(12)*2).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -205, -4, -6, -22, 2, 5 in decreasing order.\nAnswer: 5, 2, -2, -4, -6, -22, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 14. Let u(t) = -8*t - 28. Let j(q) = 4*u(q) - 9*v(q). Let b be j(14). Let y = -15 + b. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96051842 to the nearest one hundred thousand.\nAnswer: -96100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:13 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 434.2200847 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 14. Let y be w(14). Suppose -19*h + y*h = -675. Let s = h + -55. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(2) - (sqrt(98) + -1 + sqrt(98))) + (sqrt(24)\/sqrt(3) - sqrt(8))\/sqrt(4) + sqrt(2)*1*-5)**2.\nAnswer: -2656 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 4 - 4)*(-2*y**2 + 2*y**2 + 2*y**2 - 1109*y + 1109*y + 126*y**2 + (-4*y + 2*y + y)*(-y - y + y)).\nAnswer: -387*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -0. Let h = f + 49. Let k = 94 - h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 + 6*o + 5. Let w be k(7). Let n be (-2)\/(w - (-84)\/39). Let h = n - -20. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 0*i**2 + i**3 - 57 + 5*i**2 + 64 - i. Let o(k) = k**2 + 1. Let x(z) = -4*o(z) + v(z). Let d(b) = -b - 3. Let l be d(-3). Give x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 56*x - 456. Determine r(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233231184*k**6 - 210889746*k**2.\nAnswer: -27987742080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 1.6. Let q = 1.2 + j. Let n = -2.3 + 1.3. Which is the nearest to n? (a) q (b) 2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Let q = -0.69 - -0.29. Put -3\/5, l, q in descending order.\nAnswer: l, q, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 - 6*m**4 + 0*m**4)*(77*m + 96*m + 291*m)*(-3 - 2 + 3).\nAnswer: 8352*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0 + sqrt(112) + -2)*5*-4.\nAnswer: -320*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -1059*d + 1054*d + 75, 0 = -k + 5*d - 1 + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1038307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4221 divided by -3\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-6))\/(424\/(-1696))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**(5\/8)\/(b*b*(b\/(b*(b\/b**(11\/5))\/b*b))\/b*b**(6\/17)))**20 assuming b is positive.\nAnswer: b**(-7387\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 + -118. Suppose 4*c - 4 = -i + 3, 2*c + i = q. Solve -k - c = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -866032 by -1808.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 + -8)\/(1\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r**(-2)\/r)\/r))**38\/((r\/(r\/r**(-2\/7)))\/(r*r*r**(-6)*r)) assuming r is positive.\nAnswer: r**(1843\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 730591073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2411, 1553, -767, -5281, -12721?\nAnswer: -23819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 - 11*s + 15. Let h be z(10). Suppose 5*l + m - 159 = -35, 108 = h*l - 3*m. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 4*k + 1. Let g be v(-4). Suppose -5*b - 21 = 9. Let s = b + 7. Is s at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**3 - 3 + 3 + 0.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -277730.\nAnswer: -1\/55546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1025 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*c**4 - 5*c**2 - 31*c**4 + 49*c**4 + 2*c**3 to p*c**4 + l + g*c**2 + k*c + z*c**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2791, -2801, -2811?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - b. Suppose 0 = -6*i + 127 + 95. Suppose -2*l - i + 43 = 0. Let o(w) = -3*w**2 - 2*w. Calculate l*o(z) - 5*u(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 1185926 = -123579. Let w = m - 35548. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3887375 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 5, d: 2, c: 1}. Give prob of sequence qc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 53822*x - 53823. Let u be y(-1). Solve 0 - 15\/2*o**3 + 0*o**2 + 5*o**5 + 0*o - 5\/2*o**u = 0 for o.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/12947, -6, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 7*s**2 + 3*s - 58. Let k(y) = -9*y**3 + 35*y**2 + 14*y - 290. Give 3*k(g) - 14*n(g).\nAnswer: g**3 + 7*g**2 - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2374 = -6*s - 4*k, 5*s = -2*k - 11780. Let i = s + 3762. Suppose 9*u + 346 = i. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**8\/3360 + p**4\/4 - 3*p. Let s(g) be the third derivative of j(g). Factor s(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c + 1. Let a(h) = -3*h**3 - 4*h**2 + 12*h - 2. Let v(y) = -y - 1. Let m(g) = a(g) + 4*v(g). Let z(f) = -m(f) - 5*n(f). Factor z(w).\nAnswer: (w - 1)*(w + 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245*14.23.\nAnswer: 17716.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86.22321 and 67?\nAnswer: 5776.95507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 590\/(-95)*2\/40 + 69\/690?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 - 8*n**2 + 8*n + 8. Let a = -72 + 150. Let s = -79 + a. Let h(q) = q**2 - q - 1. What is s*d(y) - 8*h(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52, 96, 138, 178, 216?\n\"Answer: -f**2 + 47*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9789 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 greater than 9368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by -260.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45195 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18439227 - -1.1495\nAnswer: -18439225.8505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (2 - 4))*3. Let w be 672\/49 + 4\/14. Suppose 3*y + p*i + w = -2*i, 4*i = -3*y - 13. Which is the third biggest value? (a) y (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3661*j**2 - j + 6. Determine r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/10)\/((-6)\/(-8)). Let l be (-6)\/(-9) - 44\/f. Let n be (-70)\/77*-11 + -1 + -7. Put 3, n, l in decreasing order.\nAnswer: l, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345544 is divided by 66.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14101\/4298 + 3\/614. Find the common denominator of -51\/8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -447.64\nAnswer: 4.4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.4, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -999959817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 7*w + 1. Let u be y(9). Find the common denominator of 2 + (u\/9)\/(-5) and -17\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -10\/23 (c) 1\/9 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*k**3 + 79*f**3*k - 94*f**3 - 85649*f*k**3 - 7*f*k + 2 wrt k.\nAnswer: 36*f**3*k - 513894*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 326202 (base 8) to base 13\nAnswer: 3ac14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 + 4*p**2 - 4*p. Let q be y(-3). Let b = q - -85. Let x = b + -17. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose 0 = l*m + m - 200. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 20. Suppose -2*o + 2*u + 322 = u, -4*u = 2*o - 312. What is the highest common divisor of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)\/(f*f**(4\/7)*f))**(-4\/13)\/((f**(-1)*f*f)\/f**(-1\/6)*(f*f*(f*f\/(f\/(f*f**(4\/5)*f)))\/f*f*f)\/(f\/f**(2\/23))) assuming f is positive.\nAnswer: f**(-200017\/62790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81865067117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 359, 3 in descending order.\nAnswer: 359, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701240 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.21 from -2.5.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (56\/35)\/2*(-1)\/((-4)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**2 + t - 1. Let c = 3 - 2. Let b be v(c). Let f = b + 20. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1267677 (base 8) to base 6.\nAnswer: 11345251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {v: 1, l: 1, z: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*3*1 + sqrt(1053) - 2*(-2*sqrt(1053) + sqrt(1053))) + 0 + 3)**2.\nAnswer: 324*sqrt(13) + 37917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8381*j + 85. Let b(l) = -8381*l - 73. Determine 7*b(o) + 6*z(o).\nAnswer: -8381*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23841?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 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: Is -7188713 smaller than -7188713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/12*(-6)\/63. Let f = 0.6 - 4.6. What is the third biggest value in -5, f, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81278\/10 - (-31)\/155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from {d: 2, b: 1, x: 1, k: 1, g: 2, q: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - 0.1. Let j = 72 + -68. Which is the nearest to -0.1? (a) 0.4 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -258.05. Let w = 1.05 + s. Sort -1\/5, w, 5.\nAnswer: w, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**3 + 2 + 7*a**3 - 1 - a + 4*a**3. Let r be t(1). What is the fourth biggest value in 0, 5, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6596)\/16 + (-3)\/4. Let c = q + 414. Which is greater: c or 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*a + 35 + 49 + 32 - 109.\nAnswer: 107*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4 - 1 - 1. Let t(h) be the first derivative of -h**2\/2 - 9*h + 2. What is 9*l(i) + 2*t(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*l - 46790 = -381*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 5. Suppose 0 = -5*s - 2*k + 51, -4*k - k = -3*s + 12. Is r(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 133*i - 29. Suppose 7*g - 5*g = -4. Let k be g\/(-1) + 0*5\/(-30). What is the units digit of q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009022 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:24 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/24)\/((-7)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1985 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 29.00000001. Round p to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**6\/30 - 127*u**5\/20 - 457*u**4\/12 - u**3\/3 - 2*u**2 - 295*u - 3. What is the third derivative of r(i) wrt i?\nAnswer: 24*i - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*t - 360, 6*h - 2*t = 4*h + 144. Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851057 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 145?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (154\/55)\/((-1)\/(-220)). Suppose -b + i = -3*p + 4*p, p = b - 608. Let y = 1307 - b. What is y rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - 4) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.04 - 54.04. Suppose u - 4*u + 12 = 0. Which is the closest to x? (a) -18 (b) 0.4 (c) u (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 10*v - 756. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 1877430622?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/27664 and 59\/8892.\nAnswer: 248976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(1008) + -1)*6 - (1*sqrt(1008) + 1 - sqrt(1008))) + 1)**2.\nAnswer: -432*sqrt(7) + 36297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123032 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Let b(k) be the third derivative of k**4\/6 - k**3 - 2*k**2. Let s(u) = -b(u) + 4*v(u). List the prime factors of s(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**3 - 81*o**2 - o + 122. Give c(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-108)\/(-126))\/((-156)\/(-21)*-1)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1560, 3100, 4678, 6312, 8020, 9820, 11730?\nAnswer: 13768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14315, -13046, -11775, -10502, -9227?\n\"Answer: r**2 + 1266*r - 15582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -19*s + 18*s. Suppose x + 8*l = 3*l + 25, -3*l = -5*x - 15. Suppose x = -4*w - n + 2312 + 399, -4*n = s*w - 2017. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1119 bigger than -1118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 51. Let f = -35.1 + n. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 36. Suppose -4*t = -c + 377, 2*t = y*c - 4*c - 181. Which is bigger: -94 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 103\/7, 5\/2 in descending order.\nAnswer: 103\/7, 5\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211 (base 4) to base 8.\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*x = 13, -7*o - x = -11*o + 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from latlljjdl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111554038 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*-27*(-4)\/(-6). Suppose -y - 17 = -5*m, 3*m + 3*y = w + 3. What is the remainder when 5 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Let z(n) = n**3 + 5*n**2 + 3*n - 1. Let s be z(-4). Suppose -s*h - 19 + 67 = 4*w, 15 = 5*w. Solve 0 = -4*y + 5*f + 18, -2*y + h = f - l*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.12. Let x = w - -0.71. Do x and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182 - 182 + 176*x)*(-2*x + 2*x + x**3)*(-1 + 1 - 2) + (-x + x + x**2)*(x + 2*x**2 - x) + 6*x**4 - 3*x - 10*x**2 + 8*x**2 - 3*x**4.\nAnswer: -347*x**4 - 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492939 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/23)*a*a)\/(a*a**(-28)*a)*((a\/(a*a*a*a*a*a**11*a*a))\/a)\/((a*a**(2\/49))\/a) assuming a is positive.\nAnswer: a**(12253\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -133.5 from 3493147.49483.\nAnswer: 3493280.99483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 586, 842, 1072, 1276?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/12 - 19*u - 13. Let h(g) be the first derivative of x(g). Let o(l) = 4*l**2. Calculate o(h(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -48. Solve -3*z - 1 = -3*b - h, -15 = z + 4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163125 and 10000?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/5 + 1151\/40. Let k(s) be the first derivative of o*s**5 - 10 - s**2 - 19\/32*s**4 - 1\/48*s**6 + 1\/2*s + 25\/24*s**3. Factor k(a).\nAnswer: -(a - 2)**2*(a - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.32. Let w = s - -0.1. Let r = 0.32 + w. Sort 0.2, -3, r in decreasing order.\nAnswer: r, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/7)\/(z*z**(-4\/9)*z))\/(z**(1\/5)*z\/((z*(z**1\/z)\/z)\/z)))\/((z\/(z*z**(1\/2)))**14)**49 assuming z is positive.\nAnswer: z**(106637\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.76 + -8.75. Which is the nearest to 6? (a) j (b) 3\/2 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4*a + 3)*(3 - 1 - 1)*(0*a - 2*a - 2*a) to the form m + q*a**2 + h*a and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 251 = 2*r - 4*z, 3*r + 137 - 450 = 2*z for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-14))\/(-2)*(-1526)\/3488\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35562 - -35557.6809. Let t = f - -0.0191. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (18 + -8 - (9 - -3)) + -1 - -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Calculate the remainder when ((-87)\/(-6))\/(p\/4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 27. Suppose -w - 63 = -5*j. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:31 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-984))\/(1\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8178, -8208, -8252, -8310, -8382, -8468, -8568?\n\"Answer: -7*n**2 - 9*n - 8162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*i - 72*i + 70. Let m be 1815\/(-27) + 4\/18. Let c = i + m. Solve -4*h - f = 7, 0*h = c*h - 4*f + 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8143102g to nanograms.\nAnswer: 814310200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 1536*w - 5. Let k(c) = 6*c**2 + 4606*c - 14. Let t(o) = -14*f(o) + 5*k(o). Solve t(a) = 0 for a.\nAnswer: -763, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:31 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 5764\/231 - (-120)\/(-168)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2182 + 3243 = 5*x. Find the common denominator of -5 - 2\/((-500)\/x) and 12\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m**3\/m)\/m)\/m))**(1\/7)\/(m**(-8))**(4\/27) assuming m is positive.\nAnswer: m**(278\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 32, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*b + 6*b. What is the third derivative of -16*v**3 + 2*v**b - v**2 + 12*v**3 wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 59 - (-10 + -1)) + (-9 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-60) - (186\/(-5) - 2). Find the second derivative of 24*k - 41*k**2 + 14*k**3 + 128*k**2 - j*k**2 + 2 - 42*k**2 wrt k.\nAnswer: 84*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/50)\/((-44)\/(-12980)))\/(75\/125)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3850700 is divided by 3850699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (-80 + 120) - (-21)\/1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-12)\/24 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 103, 203, 303?\n\"Answer: 100*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 5:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13185151 is divided by 407?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/9407 + 150566\/84663. What is i in -2\/9*i**4 + 2\/3 + z*i + 0*i**3 + 4\/3*i**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5366343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 - 18 = 4*b, 4*o = 2*b + 20. Let n(j) be the third derivative of j**6\/120 + j**5\/15 + j**3\/2 - j**2. What is the units digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, -30, -483, -1392, -2913, -5202, -8415, -12708?\nAnswer: -18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 5*c**4 - 135*c**3 - 135*c**2 + 270*c.\nAnswer: 5*c*(c - 6)*(c - 1)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3+-2348\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0 = -8*w - 2, 3*p - 14 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 - 194.7. Which is the closest to -1\/3? (a) -0.4 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**5 - 10*p**4 - 4*p**3.\nAnswer: -2*p**3*(p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11583079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 666599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Solve -4*o + l = o, o + v*l - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28664290?\nAnswer: 2, 5, 2866429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:04 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 664*c**2\/5 + 8308*c\/5 + 31008\/5.\nAnswer: 4*(c - 152)*(c - 17)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 - 272*v + 83. Let j be l(30). Let i be 1\/(-3) + (-1106)\/(-6). Calculate the highest common divisor of i and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*(v*v**(1\/7)*v*v)\/v)\/(v*v**(2\/13)))**(-3\/34))**30 assuming v is positive.\nAnswer: v**(-720\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8842 - 3730. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -f + 5*i, -f + 3*i - 4 = 0. Suppose 0*n - 4*z - 21 = -n, f*n + z - 51 = 0. Solve -n = 5*r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986 = 10*c - 16*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2601, -5198, -7795, -10392, -12989, -15586?\n\"Answer: -2597*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12658\/7 in 1\/3, 6, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 2*f**2 + 2. Let l be a(0). Put l, -1, 8, -2, 6 in increasing order.\nAnswer: -2, -1, l, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 3*a - 3. Let m(j) = -4*j - 2. Let d be m(-1). What is the smallest common multiple of r(d) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = u - 2, -3*u = -2*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 5. Let j be h(0). Let u(y) = -y**3 + y**2 - y + 3. Let n be u(0). Let a be (n\/6)\/(85\/(-20)). What is the closest to -1 in a, j, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 3 (c) 45 (d) -282 (e) 6\/11 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 93\/6*(0 + 2). Let w be 6\/9 - (-68)\/6. Let n = v - w. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Let x(z) = -2*z**2 - 3*z + 3. Let a be (-1)\/2*-1*36*1. Let t(s) = 2*s**2 - 2 - 11*s + a*s - 5*s. Give o*t(m) + 2*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17*q**3 - 4*q**2 - q + 2. Let n(s) = 85*s**3 + 21*s**2 + 5*s - 11. Let b(w) = 2*n(w) + 11*x(w). List the prime factors of b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 4*p - 3*p - 15*p to the form j + k*p and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101777.\nAnswer: 13, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26793642 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - (33 + (46 - 24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35949049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 10}. What is prob of picking 3 q and 1 e?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 64. Suppose 0 = 11*x - 8*x - 2*s + 61, -x + 2*s - 27 = 0. Calculate n(x).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6388069 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(196)\/sqrt(4) + sqrt(49))\/sqrt(7).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 - 139. Let y be -5*9\/45*-17*p. Differentiate -y + f**4 + 1 - 43*f**4 with respect to f.\nAnswer: -168*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*d - 3, 8*t - 3*t + 3*d = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/15 and 14\/12*4921\/(-4655)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5507, 9338, 13167, 16994?\n\"Answer: -z**2 + 3834*z + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 15*b - 34. Let j(t) = 5*t**2 + 46*t + 101. Let p(o) = -3*j(o) - 8*v(o). Let z be p(20). Solve 4 = -z*i + 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 19794.6.\nAnswer: -19795.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -52. Suppose -3*w + 55 = 5*l, w + 84 = v*w - 4*l. Solve 5*t + w = 3*o - 11, 4*t + 22 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 + 26*j**3 + 6*j**2 - 234*j - 216 = 0.\nAnswer: -12, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -74, -161, -282, -437, -626?\n\"Answer: -17*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3\/3 - 70340*n**2\/3 + 103065684*n + 103089132 = 0 for n.\nAnswer: -1, 8793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13570713 or -1?\nAnswer: -2\/13570713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*d = -2304, 2*n - 2*d + 1139 = 227. Let x be 8\/36 + 48\/n. Let h = -0.3 - -0.2. What is the closest to h in 0, -2\/7, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 77 - 64 = w, 41*w - 43*w = 3*q - 58 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146347 + 146131.669. Let p = 215 + s. Round p to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -0.06, -429\/2, -5, 0.04 in descending order.\nAnswer: 6\/7, 0.04, -0.06, -5, -429\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*q**4 - 24\/7 - 69\/7*q - 9*q**2 - 15\/7*q**3.\nAnswer: 3*(q - 8)*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(8)\/sqrt(4).\nAnswer: -4*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4671)\/18)\/((-1)\/10). Suppose -o = -5*p + 44460. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/(-85)*5\/(-2). Let g(l) = -2*l - 1. Let j be g(-2). Let v = j + 1. Solve 21 = -y*c + 3*k, -c - v*k = -4*c - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24968156 divided by 6242039\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:08 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 657\/365*(-2)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 + 295. Calculate the greatest common divisor of 45 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(104) + -6*(sqrt(104)*1 - sqrt(104)))*5*-2)\/(-3*(sqrt(8) + sqrt(648)*2 + sqrt(8))*-2).\nAnswer: -sqrt(13)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -158*a**3 - a**2. Suppose 0 = 4*i - j + 17, i = -5*j - 4 + 26. Let t = -4 - i. Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjsjjffjfffjjfffjfj. Give prob of sequence jj.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/212 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000070331 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2*u**7\/21 + 11*u**6\/20 + 61*u**5\/50 + 4*u**4\/3 + 4*u**3\/5 + 13*u**2. What is g in n(g) = 0?\nAnswer: -3\/2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 3*x**4 - 2*x**4)*(-67 - 1 - 2*x + 259).\nAnswer: 4*x**5 - 382*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 11*t**2 - 8*t - 21. What is u(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 7, g: 4}. Give prob of picking 1 t and 2 f.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366.92584 - -0.75584. Round u to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - (9 + (-140)\/12). Solve 0 = -7*h + v*h - 8, -4*h = -5*n + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2*(3548\/8)\/1. What is j rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0147 times 157?\nAnswer: -2.3079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 4, -4, -2\/51, -14.09, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-5)\/n)\/(n*n**(-1\/4)\/n*n))**(-2\/67) assuming n is positive.\nAnswer: n**(23\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326\/3 + -108. Which is the smallest value? (a) v (b) -2\/21 (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2)\/(sqrt(192)\/sqrt(3) + sqrt(4)).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/83 - 152\/581. Let t = -64 + 59. Let j = 13 + -38\/3. Which is the second smallest value? (a) t (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Let c(a) = 5 + 4 - 10. Let l(u) = c(u) - i(u). Let v(d) = -2*d**2. Calculate l(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:46 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 32*z**3 + 17*z**2 - 8*z - 48. Let b(v) = -13*v**3 - 8*v**2 + 3*v + 23. Let q(d) = -5*b(d) - 2*s(d). Determine q(-7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let i(y) = -6*y + 37. Let n(m) = -2*a(m) + i(m). Let r be n(8). Solve -2*d = -3*k + 10, -r*d + 5 - 15 = -2*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 2074*y**2 - 42 + 76 - 14*y + 14*y in the form i*y + w + c*y**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, q: 15}. What is prob of picking 1 w and 2 q?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 0 - (25 - (48 + -51 + 78))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:18 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**5 assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 67*u**2 + 88*u - 4470. Give r(68).\nAnswer: -3110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950 and 1965600?\nAnswer: 1965600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3968.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from oce?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -302227\/7873 < -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6794133 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 80*a**2 + 16892*a - 98256.\nAnswer: -(a - 92)*(a - 6)*(a + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 4*v. Let s be d(3). Let b = s + 5. What is the derivative of u**2 + 3*u**b - 7 - 3*u**2 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -768*h**2 - 672*h - 147.\nAnswer: -3*(16*h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2514763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/14)\/((-81)\/(-21) + -5). Sort -1\/5, j, -5, -4 in descending order.\nAnswer: j, -1\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122202 - -100?\nAnswer: 2200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4136)\/(-103400)*(-15)\/4.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 130?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6154 and -43\/20.\nAnswer: 61540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 2*u - l, 7*u - 435*l + 872*l - 121 = 434*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -199*x**3 - 23*x**2 - 98*x - 47. List the prime factors of u(-4).\nAnswer: 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*i + 8 = 0, v = 2*i + 4 - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 16)*(65\/(-585))\/((-5)\/9). Let n(q) be the first derivative of 21\/16*q**2 - 9\/8*q - 5\/8*q**u + 3\/32*q**4 - 7. Factor n(p).\nAnswer: 3*(p - 3)*(p - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8530 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62356?\nAnswer: 2, 7, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - u + 406 - 354 = 0, -3*u = 9*g - 120 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18313, -17894, -16777, -14614, -11057, -5758, 1631?\nAnswer: 11458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/5)\/((-12)\/(-10)). Let g be -2 + (-26)\/22 + 3. Let z = 0.7 + -0.5. Which is the nearest to 0.1? (a) z (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 3, g: 4, k: 5}. What is prob of sequence gmm?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.756183mm to meters.\nAnswer: 0.001756183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5))\/(-2*(-7)\/924*2).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -212, -0.5?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1094 - -1971. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202\/97 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*(14 + 6 + -8). Let z(r) = r**2 - 8*r + 2. Let s be z(h). Suppose -s*v = -v + 4. Let p(j) = -j**3 - 4*j**2 - j. Determine p(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*n + 4 - 3 - 1 to the form k + x*n and give x.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -280580.3+-0.02057\nAnswer: -280580.32057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23627.\nAnswer: 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36956209 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + 8. Let z(g) = g**3 + 7*g**2 + 2*g + 5. Let x be z(-5). Let a = h - x. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1847044115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/18*-10*3. Let t(a) = a**3 - 6*a**2 + 4*a + 4. Let v be t(u). Let m = -119\/2 + 178\/3. What is the closest to v in -0.3, 4, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:17 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-16)*((b*b*b*b\/(b*b\/((b\/(b**(-2\/85)\/b))\/b)*b*b))\/b*b)\/b*b*b**(1\/20)*b**(2\/7) assuming b is positive.\nAnswer: b**(-6969\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10817\/3504 - 22\/219. Let n = 9615 - 269139\/28. Find the common denominator of n and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 3*x + 9*x**3 - 23*x**3 - x**3 + 4*x**3 - 5*x**3 + (x**2 - 2*x**2 + 3*x**2)*(1 - 2*x - 1).\nAnswer: -20*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -5*t + 0 - 1\/3*t**3 + 1\/12*t**4 + 0*t**2. Factor i(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 77877\/81 - 8\/18. What is the highest common factor of o and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 69. Let m be -12*(34\/6 - 3). Let o = m - f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 7*a - 3. Let c be w(5). Let s = c + -9. Let j be 12*(s - (-15)\/6). Calculate the highest common divisor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g - 129 = -50*g. What is the units digit of 1\/(648\/g - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2881 - 1330. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/9 + 7000*i**4\/3 - 42007*i**3\/9 - 63002*i**2\/9 + 28004*i\/3 + 84008\/9 = 0.\nAnswer: -21002, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w**3 - 111*w**2 + 13*w + 60. Give g(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 0.21, -0.4, 23377?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**14)**(35\/6) assuming d is positive.\nAnswer: d**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = -10*w. Let f be (-5247)\/(-77) + w\/7. Let d = -24 + f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10688.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 4*w**2 + 8*w - 1. Determine k(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 37407474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 8, v: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29913*r**4 + r + 194626?\nAnswer: -119652*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/(-35) - (-380)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 9. Let r = a + 8. Let u = 0.7 - 0.6. What is the nearest to u in 0.3, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 77 = 8*v. Let k(u) = -v*u - 11*u - 11*u + 21*u - 8. What is the units digit of k(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -43\/2*k**2 + 31\/4*k**5 - 31 + 2*k + 1\/4*k**4 + 0*k**3. What is the third derivative of y(b) wrt b?\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 68*k**2 + 189*k - 2. Determine v(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 9) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 20 = -3*p, -4*d + 875 = p. What is the remainder when d is divided by (-60)\/(-48) - (47\/(-4) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2 + 1520*w + 3611. Determine c(129).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46866.99ns in minutes?\nAnswer: 0.0000007811165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -5\/4, -55, -1\/10, -1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(117) + sqrt(117)*1) + sqrt(117) + sqrt(117) + sqrt(117) - -2*sqrt(117)*2)\/((sqrt(7623)*4)\/sqrt(7))*6.\nAnswer: 2 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 63\/6)*2. Let z = 15 + w. Let v = -0.4799 + 0.8799. Sort v, -2\/9, z, 0.\nAnswer: z, -2\/9, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365290?\nAnswer: 2, 5, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let u = -0.64 + 9.34. Let d = u + -9. What is the nearest to 0.1 in v, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21 + (-1 - 2)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*g - 121 = 1296 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 30. Let k(n) = n + 15. Let j be (-1694)\/1452 - 5\/6. Calculate j*w(y) + 5*k(y).\nAnswer: -y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1183\/3, 2613, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and 151\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 2988252?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1508 - -1538. What is the lowest common multiple of y and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1697 by 7.\nAnswer: 1697\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 195 - 193 - 8*o)*((-3*o - o - 3*o)*(-2*o + 3*o + o) + 0*o**2 - o**2 - o**2).\nAnswer: 80*o**3 - 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 6. Let y(w) = 3806*w + 5544. Let f(s) = 3*n(s) - y(s). What is the first derivative of f(i) wrt i?\nAnswer: -3791","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o + 3*y + 64, 0 = -4*o - 4*y + 64. Suppose 2 = 3*h + k - 3, 0 = 2*h + 5*k - 12. What is the least common multiple of (3\/h)\/3*18 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -208 + 0*w + 8\/15*w**3 + 0*w**4 + 0*w**2 - 2\/25*w**5. Solve t(b) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2040 (base 15) to base 10\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 19. Let n = -19.7 + a. Let c = -0.96 + -0.04. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + aa?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64631716.\nAnswer: 2, 16157929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -23 - (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-2)\/(-4)*22\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(-1)\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138139*o**2 + o**3 - 2*o**3 + 138139*o**2 + 3*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g**6 + 0*g + 0*g**4 + 2 - 1\/3*g**3 - 3\/7*g**7 + 0*g**5 + 0*g**2. What is the third derivative of i(b) wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -118*t**2 + 598*t + 6. Let p(n) = -99*n**2 + 599*n + 5. Let z(o) = -5*c(o) + 6*p(o). Factor z(k).\nAnswer: -4*k*(k - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61979881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let z be p*(-1 + 21\/15). What is the second derivative of f**3 - 9*f**2 - 6*f - 2*f**3 + 9*f**z wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(70) - (sqrt(70) - -2*sqrt(70) - sqrt(70))) - sqrt(70)) + sqrt(70) + (sqrt(70) - 2*sqrt(70)*2))*-5)\/((-2*2*sqrt(90))\/((sqrt(81)*2)\/sqrt(9))).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59778, 59746, 59694, 59622, 59530?\nAnswer: 59418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24 - 5) + 55\/11. Let g(c) = -c**2 - 3*c + 4. Let j(n) = 2*n**2 - n - 2. Let d be j(2). Let b be g(d). Is b at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87229, 174457, 261685, 348913, 436141, 523369?\nAnswer: 610597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.09 + -1.11. Which is the third biggest value? (a) 0.1 (b) -2 (c) -2\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498*q + 16 = -3*j + 1497*q, j + 0*j = -2*q - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*y = v - 108, -134 = -4*y + 2*v. Let j be (294\/y)\/(6\/20). Suppose 4*o + 4*w = j, 3*o - 24 + 5 = -w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:00 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2479 - -3431. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -840 - 13*z**3 + 11*z**3 + 6*z**2 + 9*z**4 + 838 as m*z**3 + g*z**2 + i + x*z**4 + u*z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 475874, -4\/7, -21?\nAnswer: 475874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b + 94*b - 184*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 1. Let a(p) = p**2 + 26*p - 2. Let w(i) = -a(i) + 6*u(i). Let y = -4 + -2. Does 4 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 3 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30*(-24)\/(-60))\/(-4). Sort -8, -13, m, -4\/3 in descending order.\nAnswer: m, -4\/3, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 73*m - 150 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z. Let p be 3 - (z - (-4 + 1)). Let -2\/3*g**5 + 4\/3*g**4 + p*g**3 - 4\/3*g**2 + 2\/3*g + 0 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -j + 8, 32 = 4*s - 2*j - j. Suppose -8 = -s*y + 16. Suppose 4*n + y*r - r - 1216 = 0, -907 = -3*n - 4*r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 3)\/3 + 0. Let x = -2.4 + 3. Let w = -0.6 + x. What is the closest to v in 4, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518957298 divided by 3158.\nAnswer: 164331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -693 + 734. Let o = 40.999999972 - y. What is o rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydb. Give prob of sequence yd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178907651.\nAnswer: 3, 43, 3046273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*j = -146*j - 7441. Suppose -238 + j = 5*w. Calculate the highest common divisor of w and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290 - 390. Let w = n + 101. Is -187 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20286 and 750582.\nAnswer: 750582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/28*22\/110. Let r(f) be the second derivative of 2*f - 3\/14*f**2 - 1\/14*f**3 + 0 + g*f**4 + 3\/140*f**5. Let r(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10667302 and -1.\nAnswer: 10667302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15329, -5, -3, 0.1, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n - 259. Let q(y) = -21*y + 260. What is -6*m(a) - 5*q(a)?\nAnswer: 15*a + 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3670 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -281\/11 (b) -9\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/17 (b) -0.1 (c) 1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and (-993)\/60 - 5\/25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7737\/3278 + 1\/298. Let p be (1 - 0)\/((-75)\/8). Let x = p - 317\/75. Find the common denominator of x and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - (-27 - -27)) + 16 + -7 + -24.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 65 = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1124 + -1103. Let o(v) = 6*v**2 - 2*v - 5*v + 7*v. Let m(k) = -k**2. Give w*m(c) + 3*o(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 + 1 = -2*r. Let a be (-4)\/(2 - (-3)\/(r\/80)). Suppose 4*o + a = -18. What is the nearest to o in -0.2, 3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37373000 to the nearest one hundred thousand.\nAnswer: -37400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -24. What is the derivative of 5 + 2 + w - 4 + 2*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 321, 280, 207, 96, -59, -264, -525?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 3*m**3 + 8*m**3 + 0*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 259?\nAnswer: -25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -701\/21 + 243\/7. What is the nearest to -2\/3 in v, 0.9, 5\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 - 622.\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:54 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2945 + -2945. Which is bigger: y or -4\/369?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -524?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -8*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/1)\/2)\/(6\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 10*m - 17 + 38*m - 12*m + 1 to the form p + u*m and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 7 + 0*t + 0*t. Let v be 5*(-2 - (-19)\/5). List the prime factors of b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3*z + 3*z - 6 + z**2 - 5*z. Let n be h(3). Solve n = -2*x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**8))\/(g\/(g**(-1\/5)\/g)))\/(g**(-1)*g**(-3)\/g) assuming g is positive.\nAnswer: g**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -26*p + 2624. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/15)\/(-7))\/((-30)\/(-18))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 - j**3\/2 + 3*j**2\/2 - j. Suppose 7 = -2*k + 5, 5*c - 3*k - 13 = 0. Let p be b(c). Solve 3*y = 2*y - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*j - 6, 76*j - 12 = c + 81*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p - p + 1 + p**3 + (0*p + 4*p - 5*p)*(-6*p**2 + 4*p**2 + 0*p**2) + 2 - 2 + 2*p**3 + 2 - 2 + 3*p**3.\nAnswer: 8*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20*b - 76 = 0. Let r(h) be the second derivative of -11*h**3\/3 - 13*h**2\/2 - 3*h. What is the tens digit of r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 3\/112*t**8 + 0*t**6 + 1\/6*t**5 + 0*t**3 + 0*t**7 + 0 + 0*t**4 + 0*t - 4*t**2. What is the third derivative of m(b) wrt b?\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1371.408 millennia?\nAnswer: 1371408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*x**4 + 525*x**3 + 287*x**2 - 288*x**2 - 42*x**4 in the form m*x**4 + j*x**2 + w*x + d + t*x**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3\/3 - 3*d**2 - d + 1. Let z(i) = i**2 - 14*i + 5. Let j be z(14). What is w(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208425 and 794?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/161119 or 2?\nAnswer: -60\/161119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8432 and 760368?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12646\/30 - (-4)\/(-20). Let g = -416 + m. Let d = g - 17\/3. Which is the nearest to d? (a) -3 (b) -1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -33861 = 7987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k**3 - 3*k**2 + 8*k - 2146 + 4*k**2 + 3*k + 71*k**3 + 2145 to v*k + q + x*k**2 + y*k**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 14*x**2 - 11*x + 29. Let b be w(-13). Let g(r) = -2*r**2 + r. Let k(h) = -h**2 - h. Give b*g(q) + 3*k(q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f - 11. Let c be l(3). Let w = c - 30. Solve -w*u + p = -2*u - 12, 14 = 5*u - 2*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1014356\nAnswer: 5071780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-3)\/(-468)*9\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.215359mm to kilometers.\nAnswer: 0.000007215359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -208.75 * -0.541\nAnswer: 112.93375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 470489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/11)\/f)\/f)\/f)**(2\/37)\/(f\/(f*(f*f\/(f\/(f\/(f\/(f\/f**(2\/5)*f))))*f*f)\/f*f)*f\/f**(-4)) assuming f is positive.\nAnswer: f**(-1164\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w + 2*p - 15, 1 = p. Suppose h = -4*o - w, -h + 25 = -4*o - 2. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h + 2*h)*((-3*h + h + h)*(3*h**3 - 5*h**3 + 4*h**3) + h**4 + 0*h**4 - 3*h**4 - h**4 - 4*h**3 + 4*h**3 + 2255*h**3 + 135*h**4 - 2255*h**3).\nAnswer: 130*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 28 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1280 - -1279. Let r be (-41 - -39)*6\/4. Let w = 0 - -2. What is the second smallest value in l, w, r, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/6712563 and 49\/429?\nAnswer: 6712563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (11 - (-1 + -4) - (5 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 45*x + 60 + 11*x - 58.\nAnswer: 59*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961428859.\nAnswer: 421, 2283679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3 + (1 - 4 + 2)*(5 + 4 - 1))*(1 - 3 + 0)*(-2*h**3 + 64 + h**3 - 54) in the form x + o*h**3 + g*h + j*h**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 110\/4 + (-1)\/(-2). Suppose k + 5 = y. Solve 3 = 5*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:20 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - z + 2 = 0, a - 6*z - 6 = -z. Is 1\/12 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.912? (a) 5 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 28. Let i = 119 + -128. Let j = c + i. Solve -4 = j*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4370)\/69*(-48)\/10.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z + 9*z - 27*z = 594 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let b(m) = -8*m**2 + 3 - k*m**2 + 4*m**2 + 3*m**2. Let g(h) = 7*h**2 - 5. Give -5*b(w) - 3*g(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11 - -12 - ((-78)\/2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1223 + -625. Suppose 53 = -5*w + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859.5514l to millilitres.\nAnswer: 859551.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) 1246 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3262*h**2 + 3108*h**2 + 2153*h**2.\nAnswer: 1999*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1983359?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 1:20 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.4 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 9*f**3 + 5*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {v: 6, n: 2, q: 3, f: 6, a: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, e: 4, i: 3, q: 2, s: 2}. Give prob of picking 1 i, 1 q, 1 s, and 1 e.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 5*l - 4. Determine g(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxpdxxppxpdx. What is prob of sequence dxdd?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/14)\/u*u\/(u*u**(-32)*u)*u assuming u is positive.\nAnswer: u**(433\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556.93 - -552. Let r = i + -0.07. Let o = 4 + r. Put o, 3, 5 in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(19\/6)*d**(16\/5))\/(d\/(((d\/((d*d*d**18)\/d)*d)\/d)\/d)*d)**33 assuming d is positive.\nAnswer: d**(-20599\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -143802351 and -143802351 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 17*r**2 + 21*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 25 = 5*b, 0 = 4*j + 3*b + 5 - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -50. Let u = x + -36. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 54 = 25*g + 5*c, 3*g + 3*c = -27 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1520307, 1520305, 1520303, 1520301, 1520299?\nAnswer: 1520297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10*s - 7 = -103 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 - 9*-3. Let r = -12 + y. Suppose -1296*t = -1285*t - 275. Calculate the remainder when t is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 26*v + u + 9 = 0, 0*v - 5*v = -3*u - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 3*m - 2. Suppose 6 = -2*v, 4*v = 4*r - 9 - 7. Let p be z(r). Differentiate j - 4 - p*j - 5*j wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35 and 29\/525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7152 = 15*t + 7227 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1104 divided by -8.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + k**2 + 2*k**3 + 3*k - 51 + 26 as c*k + g*k**2 + f*k**3 + p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**4 - 177*g**3 + 7*g**2 - 14*g - 14. Let q(d) = d**3 + d**2 - 2*d - 2. Let j(l) = 35*q(l) - 5*x(l). Factor j(h).\nAnswer: -5*h**3*(h - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011201202 + 11?\nAnswer: -2011201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 2*u**2)*(-6 - 3*u**2 + 6) + u**4 + 3*u**4 + u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 - 353 - 474 - 3*d + 1020.\nAnswer: -3*d - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 11*b**2 + 27*b + 18. Let t be k(-13). Let c be t\/((-245)\/(-14)) + 1086\/21. Calculate the greatest common factor of 52 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5106885?\nAnswer: 3, 5, 7, 17, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and -59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -48. Let a = -12 - u. Suppose -2*n - h = -76, -a = -n - h + 29. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2783304 and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tktktk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 + o + 3. Suppose 0 = -j + 5*j. Let v be s(j). Determine p, given that -2*p**2 + p**2 + v*p**2 - 8*p = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 845ab7 - 5?\nAnswer: 845ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7220*f**3 - 55*f**2 - 5*f - 2 wrt f?\nAnswer: 43320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b1 - 5?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*h**5 + 9*h**4 + 62*h**2 - 25*h - 50?\nAnswer: 940*h**3 + 108*h**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(-4*g + 3*g + 2*g - 2).\nAnswer: -2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/9)\/a)\/(a*(a*a**(-4)\/a)\/a))**(-1\/6) assuming a is positive.\nAnswer: a**(-23\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((88\/(-6))\/4)\/((-11)\/561). Let u = 195 - m. What is the remainder when 28 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 61*t**4 - 24 - 3*t**3 + 0*t**3 - 77*t**4 + 141*t**4 to the form i*t + u*t**3 + x*t**4 + c + h*t**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211.00088 + 211. What is v rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13052 + -535320?\nAnswer: -552412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) -3 (c) 2\/13 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4 + 182*t**3 - 370*t**2 + 186*t = 0. Calculate t.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from rggrgg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-3\/2))*b*b**(3\/29)\/b)\/(b\/b**35*b*(b*b**(1\/8))\/b) assuming b is positive.\nAnswer: b**(7303\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 29508*r - 471764. What is u(16)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 10*a - 3. Let b be u(-9). Let v = 1078 + b. Suppose -3*q = -5*i + v, -134 + 36 = -i - 3*q. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*v**3 + 2*v + 26*v**4 - 2*v**3 - 24*v**4 + 2*v**2 to d*v**3 + r*v**4 + l*v + z + k*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/(-225)*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4243 + -4246. Put 2\/109, 0.9, 0.3, k, -0.3 in descending order.\nAnswer: 0.9, 0.3, 2\/109, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141691.\nAnswer: 11, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**3 - 93*c wrt c?\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -c - 2*v - 5*v - 2, -4*v + 2*v + 0*v - 3 = -5*v for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208653.\nAnswer: 3, 157, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 2*a + 9. Let z be h(-4). Let m be (-4 - z\/(-10))*(-8)\/(-10). Solve -2*l - m = -6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -955800 rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55.8 and -17.\nAnswer: 38.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/9 (c) -44 (d) 568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4079877*r - 4079915*r = -1824 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/8 and 3792\/(-58464) - (-2)\/28*-4.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -278300 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 14. Let p be v(4). Let y be (2 - -6 - 2)\/(p\/(-32)). Is y\/80 - 603\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.76559 and 545229.\nAnswer: 545226.23441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.03, -1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -258083.813 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -47, -71, -115, -185?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h - 169 - 2435 = 42 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19996, -36639, -53280, -69919, -86556?\nAnswer: -103191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 6*q**3 + (-3*q**3 + 2*q**3 + 3*q**3)*(-14 - 9 + 2) + (q + 3*q**2 - q)*(6*q - 18 + 18).\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 32. Let j(o) = -o**3 + 16*o**2 - o + 19. Let i be j(k). Solve 3*f = -4*h + 5, -2*f - 4 = -i*h + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p + 56. Let r be s(0). Let v = r + -52. Let b(g) = 2*g + 4. Let z(k) = -2*k - 3. Determine v*b(n) + 5*z(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -6\/7, 0, -3.6, 2.4, -0.5?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) -1\/12 (d) -8 (e) 0.2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 5*4\/10 + (-1 - -33).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 108\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273638?\nAnswer: 2, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7 = 4*l + 25, -21 = -t - 5*l. What is the tens digit of 10*(2 + t\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(10\/3)*(-4)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 1236*q - 282*q + 42 to z*q + u and give z.\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13345762 (base 8) in base 2?\nAnswer: -1011011100101111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/2 - 825*m**2\/2 - 35235*m\/2 - 98415\/2.\nAnswer: -5*(m + 3)*(m + 81)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 9. Let c(p) be the second derivative of p**4\/12 + p**3\/3 - 83*p**2\/2 + 453*p. Let n be c(9). Solve u - m = o*m - 20, -u - 5*m = -n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21839 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32284459 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m. Suppose 4*z - u - 33 - 54 = 0, m = z - 2*u - 13. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12\/(p*p\/p**(-2\/13)))\/(((p*p**13)\/p)\/(p*p**10)) assuming p is positive.\nAnswer: p**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4347.3*0.5.\nAnswer: -2173.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (157318\/(-56185))\/(21\/60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 2*p - 0*p - 5*g, -2*p = -g - 439. Let z = p + -118. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 2*m**2 + m - 80. What is y(0)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/((748\/(-49368))\/(2\/(-30))).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t + 0*t)*(-3535*t**3 - 4*t**2 + 4*t**2 - 143*t**3 - 3333*t**3).\nAnswer: -7011*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 134836 (base 16) to base 15\nAnswer: 19e64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7759a - 8d?\nAnswer: -77649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*h - 268*h + 104 = 0. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*l - 6667 = 6974 - 2313. Let f(j) = 17*j**3 + 5*j**2 - 5*j. Let i(q) = 162*q**3 + 48*q**2 - 48*q. Calculate l*f(v) - 5*i(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 965 - 0?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/4 - 7*m**3\/3 - 9*m**2\/2 + 6*m + 11. Let q = -7 + 15. Let a be d(q). Is a >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233506 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21413390*8\nAnswer: -171307120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4333220 (base 5) to base 14.\nAnswer: 1d06d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*-2*sqrt(132))\/sqrt(12).\nAnswer: -50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 8*z**2 + z + 3. Give k(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - -10 - 45 - 39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 5*s - 8. Suppose 29 = 3*v + 5. Let r be y(v). Suppose -4*b - 76 = -4*z, -5*z - 4*b + 145 = b. Calculate the highest common factor of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1298*a - 61106. Calculate x(-46).\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(0*b - 4*b + 2*b) + 2*b + 2*b - 2*b)*(-b + 0*b - 2*b).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 161*31\/217.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 123. Which is the biggest value? (a) 0.1 (b) k (c) 0.9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-12 + -1 + 31)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**3\/g*g*g)\/g)**(-49)*(g**(2\/5))**(-17) assuming g is positive.\nAnswer: g**(-1259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20867 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -164. Suppose -10*a + m + 270 = 0. Suppose -3*b + 4*d + 49 = 0, -39 = -5*b + d + a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*u - u - 4750, 3*y - 11879 = -5*u. Suppose -4*j + 2319 = b - 843, 2*b = 3*j - u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s)*(-1 + 1 - s) - 1 - s**2 + 1 - 24014*s**2 + 24008*s**2 - 28 - 36.\nAnswer: -5*s**2 - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147 (base 10) to base 12.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 49. Calculate the remainder when t(-8) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (300\/(-9))\/(2\/(-6)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 0*z - 9*z)*(2*z**2 - 10*z + 24*z - 25*z).\nAnswer: -32*z**3 + 176*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35.6 in 0.1, -3\/5, 1, 13, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -7*p + 0*p**2 - 2\/5*p**5 + 0*p**3 - 9 + 0*p**4. Differentiate n(j) with respect to j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 24. Let b be r(9). Let c(q) = 6*q + 2. Let h(g) = 7*g + 2. Determine b*c(m) - 5*h(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 118, 465, 1044, 1855?\n\"Answer: 116*j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248257.6 micrograms in grams?\nAnswer: 0.2482576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 555 = -11*f. Suppose c - f = -2*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565990, 1131969, 1697962, 2263975, 2830014, 3396085, 3962194, 4528347?\nAnswer: 5094550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/30)\/(3*(-1)\/15). Put 2, 4, i in decreasing order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*w + 13201*h + 182917*w wrt h.\nAnswer: -2*w + 13201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -21. Factor -8*k**3 + 4*k**5 + k**5 + 3*k + k - k**z.\nAnswer: 4*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 42*c + 40*c + 4 + 7 - 2*c**2 to the form r + h*c**2 + o*c and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 1936197 + 2403803. What is c rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 3*y**2 - y**3 - 3 + 0*y**3. Let m(f) be the first derivative of -1\/2*f**2 - 1\/3*f**3 - f + 1. Calculate b(h) - 3*m(h).\nAnswer: -2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1 + 3 - 4). Let t = o - -3. Let n be (1 - 4)*2\/(-3). Solve -t*u + n = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 2*o - 13. Let v(s) = 3*s**2 + 5*s + 31. What is 5*n(c) + 3*v(c)?\nAnswer: -c**2 + 5*c + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, n: 1, g: 3, z: 3, i: 1}. What is prob of picking 1 n and 2 v?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**5 - 41*u**4 - 2*u**3 - 5*u**2 + 2*u + 309 wrt u.\nAnswer: 540*u**2 - 984*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyy when four letters picked without replacement from {q: 1, y: 3, c: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 163, 19, -84, -4 in descending order.\nAnswer: 163, 19, 2, -4, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(3 + 26\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 2712 - 822. What is the greatest common factor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 59. Suppose -13 + l = 2*g. What is the derivative of -21*r - g*r**2 + 13 + 11*r + 10*r wrt r?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + sqrt(19) + -1 - (3*sqrt(95))\/sqrt(5)) + -5.\nAnswer: -6 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11382755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**2 + 0*x**3 + 0 - 1\/3*x**6 + 1\/4*x**5 - 101*x - 77\/12*x**4. Find the third derivative of b(d) wrt d.\nAnswer: -240*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -710 + 721. Suppose 0 = a*z - 39711 - 340. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -19 + 39 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0138? (a) -4 (b) 3\/4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3143 and -0.036?\nAnswer: -0.0113148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {w: 4, v: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.2 - 15. Let k = -0.8 + x. Let b = 0.6 - -1.4. Put -3, k, b in descending order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -n + 43 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24005 + 23680 - 47691 + 7*k**3.\nAnswer: 7*k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - h - 82 = -6*h, 52 = 3*t - h. Calculate the remainder when t is divided by 4*2\/8*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -2\/5, -1\/7, 0 in descending order.\nAnswer: 1.6, 0, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 19*m**2 - 10*m**2 in the form a*m + j*m**2 + q and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 3801.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27448879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)*y*y**(-1\/5)*y**(-1\/6)\/y**(-4\/3) assuming y is positive.\nAnswer: y**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359494887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y**3 + y**2 - 2*y + 3*y**2 - 2 - 14*y**3. Let j be r(2). Suppose -5*n + 3*b + 16 = 0, -5*n = 4*b - j*b - 31. Solve c - n = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a - 416. Calculate the greatest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1275750*l - 1275750*l - 5351*l**2)*(-1 - l**2 + 1) to r*l**4 + n*l**2 + w + i*l + j*l**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3387, -3384, -3381, -3378, -3375?\nAnswer: -3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 693 * 0.2\nAnswer: 138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159591150497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21787588, 43575177, 65362766?\n\"Answer: 21787589*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4*u + 3*o**4 - 174*o**3 - 30*o**2*u - 19*o*u + 4*u wrt o?\nAnswer: -72*o*u + 72*o - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2 + 5)\/3). Suppose a = 3*x + 3*v - 90, 3*x - 4*v = 41 + 28. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/15 - 16\/45. What is the nearest to -2 in -0.3, x, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.46054 to 1 dp.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 1\/6*g**4 - g**2 + 0 - 1\/2*g**3 + 7*g. What is the units digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -0.06, -10, -4\/3 in decreasing order.\nAnswer: -0.06, -0.8, -4\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z + 4. What is the remainder when 26 is divided by p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.3. Let t = 1.61655 - 1.41655. What is the nearest to t in i, -2\/5, -3, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -1. Let i = 12 - k. Solve -i*t = -0*z - z + 23, -4*z = 4*t + 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**8\/84 + 46*j**7\/105 + 38*j**6\/15 - 1602*j**2. What is r in c(r) = 0?\nAnswer: -19, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827436 divided by 6.\nAnswer: -137906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 0, -0.4, 0.1, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - n + 3*n + (n + n - 4*n)*(1 - 2 - 1) + 25633 - 3771*n - 25633)*(0 - 2*n + 0) in the form a + p*n**2 + c*n and give p.\nAnswer: 7536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = 2*f, -93*f = -95*f + m - 6. Let t(c) = c**3 + c**2 + 4*c + 6. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.397 and -438.4.\nAnswer: -174.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10870 and 31\/3261?\nAnswer: 32610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 4*p**2 + 2*p + 1. Let v be d(2). Suppose -2*l - 1 = 4*k - 11, -k - 4*l = -v. Let a = 0 + -1. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3. Let r = 4 + g. Suppose -295*x + 298*x = 4*s - 19, -3*x + 13 = 4*s. Solve r*n = 2, m + n - s = -2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Suppose 2 = h - 2*h. Let j be w(h). Let q be 280\/(-42) + (0 - -7). Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2 - 8. Let f(k) = 4 - 6 - i*k**2 + 2. Let w(n) = -3*n**2 + 2*n**2 + 0*n**2. Calculate f(w(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2 + y - 5. What is u(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -7*y**4\/4 + 3*y + 14. Let i(o) = 2*o. Give u(i(r)).\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**6\/45 + m**5\/12 + m**4\/8 - 22*m**3\/3 - m - 44. Let s(y) be the second derivative of n(y). Let s(i) = 0. What is i?\nAnswer: -1\/4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 10 - i + 5*i. Let w be o(-10). Is 2166\/2 - (w + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27758087 is divided by 74.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from {x: 17, m: 3}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528 + 32 + 11*n**3 - 20*n**3 - 140 + 7*n**3.\nAnswer: -2*n**3 - 636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 6*g**2 + 6*g + 17. Let a be d(-4). Let n be -3 + (-3)\/(-3)*13. Let s = n - 5. Solve -5*c - s*t + a = -0*t, 2*c - 14 = -4*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*a + 40 = 0, -65 = a - 57. Put 1, 8, 4, -35, o in descending order.\nAnswer: 8, 4, 1, o, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 4*l**2 - 4*l + 4. Let k(m) = -m**3 - 5*m**2 - 5*m + 5. Calculate 5*h(w) - 4*k(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 5:41 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -5\/2*f**2 + 4*f + 12. What is the first derivative of x(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**6))\/z**(-2\/15) assuming z is positive.\nAnswer: z**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*g, 10*b - g + 25 - 69 = 4*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4563 (base 11) in base 15?\nAnswer: 958e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m, -5*p - 4*m = 5 - 32. What is the remainder when (-1)\/(1\/(-18) - 0) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 18*o + 38. What is the remainder when z(-16) is divided by (-68)\/(-18) + (-4)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.4. Let y be 48\/22 + -2 + 12\/(-33). Put y, -0.1, a in decreasing order.\nAnswer: a, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -7109.6.\nAnswer: -710.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17.97 * 292.4\nAnswer: -5254.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 506609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9 + 9 - 1287499*y + 8. Let u be o(-8). What is u rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**2 - 6*g + 6. Let o(b) = b**2 - b + 1. What is -k(h) + 6*o(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*i - 5*j, 0 = 2*i - 4*j + 1 - 27. Let d be ((-8)\/(-6))\/((-1)\/6). Let a = d + i. Calculate the least common multiple of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 489.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -26. Let l = 136 + w. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:29 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/87 - (-5 - (-9)\/3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-25 + 19 - (-13 - 0 - -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -66*f**2 - 2. Let m(r) = -6*r**2. Give d(m(c)).\nAnswer: -2376*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 29*m**2 - 53*m - 25. Give k(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1481, 5734, 12761, 22556, 35113, 50426, 68489?\n\"Answer: -l**3 + 1393*l**2 + 81*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g**3 - 3074552*g**2 - 65645272176*g - 14587686432 = 0. What is g?\nAnswer: -42702, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**3))*h**(2\/9)\/h*h*h**(-3)*h\/(h\/h**(1\/3))*h)**(-8\/3) assuming h is positive.\nAnswer: h**(248\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 2*y**2 - 10 + 14\/5*y**5 + 0*y + 11\/3*y**4 + 0*y**3. Find the second derivative of f(h) wrt h.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g + 1. Let p(n) = -3*n - 14. Let y be p(-4). Let d be (3 - 2)*0 - (0 + y). What is h(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228983 divided by 6?\nAnswer: 228983\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g + 4. Let v be y(-7). Let a = -18 - v. 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: Two letters picked without replacement from {y: 1, i: 2, w: 1, u: 1, v: 2, r: 1}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167092*f**3 - 167144*f**3 - 167068*f**3 + 668351*f**3 - 167174*f**3.\nAnswer: -127*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71003*q**4*z - 63*q**2*z - 4*q*z + 274*q + 1 wrt q?\nAnswer: -1704072*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125405.85 months to centuries.\nAnswer: 104.504875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(2\/12). Let z = -400\/2079 - -2\/189. What is the third biggest value in z, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * -197.6225.\nAnswer: -56915.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 99437, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -168*k - 164. What are the prime factors of j(-8)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*l - 14, -5*o - 2*l = -l + 21. Suppose 0 = 8*a - 0 - 16. Sort o, a, 3 in increasing order.\nAnswer: o, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - 0. Let v = 0.29 + n. Let m = v - 0.48. Which is the second smallest value? (a) -5 (b) m (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, w: 2, q: 7, y: 1}. What is prob of picking 2 x, 1 w, and 1 q?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(306)*1 + sqrt(34) + (sqrt(204)*-2 + sqrt(204))\/sqrt(6))\/(((sqrt(2) - -1*sqrt(242)) + sqrt(2))*-3)*-4 + -2)*6)**2.\nAnswer: -576*sqrt(17)\/13 + 34128\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 + 2*t**4 + 1 + 2*t - 5*t**4)*(8*t - 53*t + 236*t).\nAnswer: 191*t**5 + 382*t**2 + 191*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3*m. Let b = -21 + 23. Suppose -o + 5*v + 28 = 2*v, 0 = -b*v - 10. Let w be o - 14 - (-5 + 0). What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/196592 and -27\/8936?\nAnswer: 196592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*((w*w**(-9\/4)\/w*w)\/w)\/w)\/(((w\/(w*w\/(w\/(w\/((((w*(w\/w**(-3))\/w)\/w)\/w)\/w*w)))))\/w)\/w*w*w**2)*((w**0*w)**(15\/8))**(-28) assuming w is positive.\nAnswer: w**(-685\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, -30, -165, -430, -867, -1518, -2425?\n\"Answer: -7*s**3 - 2*s**2 + 8*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 1 + 21, -3*i = -3*s + 9. Let v be (-148)\/(-12) - s\/(-6). What is the greatest common divisor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11814 is divided by 393.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**28*(p**0)**(-5\/8) assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -35 + 62 + -17.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:07 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -17\/2. Let q = -7.9 + 7. Let l = q + 0.4. Which is the nearest to -2? (a) l (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 184. Which is the closest to -2? (a) u (b) 3 (c) 3\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*c**4*p + 1685*c**4 - 2799*c**3*p - 4*c**2*p + 27396305*p wrt c.\nAnswer: 216*c*p + 40440*c - 16794*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 8.6. What is the biggest value in -5, b, -2\/25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3630894.\nAnswer: 2, 3, 17, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/12*-3 - -4. Suppose h*w - 54 = -w. Calculate the greatest common divisor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39919 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, -0.2, -3, 2, 745 in descending order.\nAnswer: 745, 2, 0, -0.2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 326 - 152. What is the smallest common multiple of l and 16?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -72713593402383.\nAnswer: -72713593402380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 5*i**2 - 2*i**2 + 5*i + (2*i - i**2 - 2*i)*(2 + 0 - 3) - 2*i**2 + 2*i**2 + 2*i**2.\nAnswer: 5*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200110221111 (base 3) in base 8?\nAnswer: 1306322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5075089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:43 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {v: 6, m: 3, j: 4, c: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 24*g = 451. Solve 4*c = -5*y + g, 2*c - 6*c = -y - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3085 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.3. Let o = 11 - 8.3. Let m = -3.1 + o. Which is the nearest to t? (a) -3 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9258 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l + 175. Let g be s(-22). Suppose 5*z - 15 = 0, -5*y - 31 = -4*z + 6. Sort y, g, -3.\nAnswer: y, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -16, -17, -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 22, 28, 36, 46, 58?\n\"Answer: o**2 + o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -34999, 6?\nAnswer: -34999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m + 2 = 0. Let w(j) = m*j + 172 - 172. Let v(d) = -d + d - d + 0*d. What is v(w(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 984539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -73*o + 56 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 48 = 11*c - 9*c, 22*c - 21*c - 124 = 5*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 1254?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and (-1168)\/(-480) - (-4)\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230849 = 4*s + 22131. Suppose -4*y + 160978 = v, -7 - 3 = 5*v. Let h = y + s. Round h to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - 144. What is the units digit of x*((-9)\/(-18) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145628204 divided by -44237?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172341419 minus -0.47?\nAnswer: 172341419.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2 + 6. Let b be 2\/8 + (-44)\/(-16). Suppose s + 0*t + 3*t = -c, -s + t = -b. Solve -h + s*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -883, -882, -881, -880, -879, -878?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/59 in 0, 7\/4, -0.03, -1\/5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377 * 17072.\nAnswer: -6436144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - u - 7. Let m be p(-6). Suppose 4*t - m + 35 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/1)\/((-5)\/(-10)). Let p = u + 589. Suppose -3*v - 318 = f, -v = 2*f - 113 + p. What is f rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 781*k + 6881. Calculate g(-186).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 19*c**2 + 131*c - 2215. What is l(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 12148\nAnswer: -7\/12148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 1, u: 3, s: 3, e: 7, k: 1}. Give prob of sequence ku.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.74 + 3.26. Let c = -84.043 - -47.946. Let o = c + y. Round o to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46006.3*-0.171.\nAnswer: 7867.0773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184\/485 + -2\/97. Suppose 8*g = -0*g + 32. What is the closest to o in 1\/5, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10864)\/485*155\/124\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 5*x**2 - 2*x - 2. Let f be r(3). Let z = -54 + f. Suppose z = 2*a - 13. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159501985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23501245.\nAnswer: 5, 4700249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 5*d - 4. Let l be u(-6). Suppose -2*v + 17 = -5*r + 4*r, 0 = v + l*r - 16. Let h = 5 - 0. Calculate the greatest common factor of h and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2586407l?\nAnswer: 258.6407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -805 in -18\/11, 5, 2\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 393318.4l in millilitres?\nAnswer: 393318400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/3 - 109*p\/3 + 36 = 0.\nAnswer: 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 963415, 963486, 963601, 963760?\n\"Answer: 22*l**2 + 5*l + 963388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1404700578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -3\/11, 2, 1\/9, 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -2*z**4\/3 - z**3\/3 + z**2 - 48*z. Let b be w(0). Determine q, given that 0*q + 3\/4*q**4 + 0 - q**b + q**3 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 + k + 1. Let j(l) = -6*l**3 - 6*l**2 + 4*l - 3. Let m(r) = r**3 - 8*r**2 + 28*r - 38. Let c be m(3). What is c*j(z) + 5*u(z)?\nAnswer: -z**3 - z**2 + 9*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566630 - -105.\nAnswer: -566525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 6. Let n = -0.1 - 0. Let k = -29 - -34. What is the biggest value in n, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytf when three letters picked without replacement from fttfyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7089 divided by -5\nAnswer: 7089\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -127490 (base 10) in base 13?\nAnswer: -4604c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104331, 208667, 313017, 417387, 521783, 626211, 730677?\nAnswer: 835187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67129 - -68022. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:56 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/9)*g*g*g**(-28) assuming g is positive.\nAnswer: g**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by (-1)\/2 - (104\/(-78) + 91\/(-6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -6*n**2 + 9. Let q(f) = f**2. Calculate o(q(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204291 divided by 323407?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r - 7*r - 3*r + 38*r + 2*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*a - 28, -5*z = -2*a - 302 + 274 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 755922560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 438*a**2 + 587*a - 17. What is the tens digit of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.0251 - -0.7251. Let c = -0.1 - -0.1. What is the third smallest value in -0.1, c, g, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**26\/(z*z*z**(-4\/3)) assuming z is positive.\nAnswer: z**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971792677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158, -411, -826, -1403, -2142, -3043?\n\"Answer: -81*w**2 - 10*w - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -5417?\nAnswer: -21668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25824115 to the power of 1\/2, to the nearest integer?\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24347 - 24317.057. Let i = 30 - a. What is i rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -4 in ascending order.\nAnswer: -7, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 124*b + 107)*(3*b - 6*b - b) as d*b**2 + g*b + o and give d.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21149*f + 296096. Give o(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 5*b. Let r = 20.4 - 20. Let q = -37.9 + 37.9. What is the nearest to q in r, b, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 8*y + y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1173.194117 to zero dps.\nAnswer: -1173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Let 3*u + 18*u - u**j - u**2 - u**2 = 0. What is u?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-34)*u**2*u**(-4))\/((u**(3\/5)*u**(7\/2)*u)\/((u*u**(-1\/5))\/u**3)) assuming u is positive.\nAnswer: u**(-433\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 4. Let t be (-20)\/(-50) - 153\/(-5). Suppose r + 5*g - t = -2, g = -2*r + 13. Suppose 11 = -5*n - r. Give o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Differentiate 2 - 3 - w - 3*f**2 - 2 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -u + 124 + 41. Calculate the remainder when u is divided by 84.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11824736923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9 + 0.1. Let w(t) = -25*t**3 - 276*t**2 - 4*t + 75. Let c be w(-11). Let q = 1.12 - 0.12. Put q, a, -0.1, c in ascending order.\nAnswer: c, -0.1, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(113\/(-339)*(27\/56)\/9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 6*k + 2*k)*(34 - 8 + 44)*(3*k**3 + 0*k**3 + 2*k**3).\nAnswer: -700*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 - 139*l**2 - 44*l + 95. Let d be t(-46). Put -5, 5, d, 68, 2 in descending order.\nAnswer: 68, 5, d, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-19*34\/969)\/((-7)\/3)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (5 + -3 + (-9 - (-26 - -18)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = y - 4*d + 16, -5*y + 3*d = -58. Solve 22*a - y + 36 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:55 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3*a**2\/2 - a + 11. Let s be c(-2). Suppose 0*m = -5*m + 2*k + 65, k = s. Solve -m = -g + 4*r, -18 = 2*g + 3*r + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291 or -290?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1781, -14, 3, -5 in descending order.\nAnswer: 3, 1, -5, -14, -1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - m + 3*m + (43*m - 18*m - 26*m)*(3 + 1 - 2) + (-1 + 1 - 3*m)*(-3 + 3 + 2) to b + g*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, 1 c, and 1 q when four letters picked without replacement from jjpqcjjpzcqpqcmppqc.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -318750*((-7)\/(-21) - 47\/(-3)). What is b rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -740.42?\nAnswer: 2221.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0332 + -4.0332. What is the closest to 0 in -5\/6, -6, v, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18.66375 years?\nAnswer: 223.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f = -149*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, 27, 213, 473?\n\"Answer: 37*a**2 + a - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33.6 * 101\nAnswer: -3393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/15 + 4*d**5\/5 - 29*d**4\/12 - 2*d + 16. Find the third derivative of q(m) wrt m.\nAnswer: -48*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 7*c = 0. Let y(l) = -9*l**2 + 80*l + 10. Let m be y(9). Solve c*b - b = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(40\/(-32) - (-473)\/308)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -22, -45, -78, -121, -174, -237?\n\"Answer: -5*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8243772 is divided by 369?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 2. Let x(n) = -2*n**2 + 10*n - 10. Give 5*c(w) - x(w).\nAnswer: 2*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + y - 2 = 0, -7*g - 70*y + 2 = -69*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -17. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(3) + sqrt(27)))\/sqrt(2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/7 + 6962*q\/7 + 37643220\/7 = 0. What is q?\nAnswer: -2934, 6415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0)*(-1 - 39\/(-36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2891, 5745, 8599, 11453?\nAnswer: 14307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24745120, -24745123, -24745126, -24745129, -24745132?\nAnswer: -24745135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 573 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 729*l**2 + 5*l + 1. Let c be s(4). Let b = 5285 - c. Round b to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*j + 43360 + 27*j - 43353 in the form z*j + p and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 104*m**2 - 330*m**2 - 491*m**2 - 84*m**2 + 5.\nAnswer: -801*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 869, 861, 847, 827?\n\"Answer: -3*a**2 + a + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, 3, -3 in descending order.\nAnswer: 3, -3, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + 4169*l - 25091. Determine i(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -611672573 * 1\nAnswer: -611672573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -6\/11 (c) 10994 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1071 by 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -3, 5, 437 in descending order.\nAnswer: 437, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 84*t - 1. Let l be h(1). Let j = l + 68. List the prime factors of j.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 47, 77, 121, 185?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21507544 divided by 4?\nAnswer: -5376886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**4 - 5*g**2 - 5*g - 23. Let v(l) = l**4 + 7*l**2 + 7*l + 34. Let o(u) = -5*v(u) - 7*z(u). What is the derivative of o(y) wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - (-6 + (8 - 5) + 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6118449731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*b - 131. Suppose -4*s - b = -7*s. Let m(q) = -q**3 + 4*q**2 + 5*q + 5. Let p be m(5). Solve p*r - 3*c + 5 + 27 = 0, 4*r - 5*c + s = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aszasasfbffss. Give prob of sequence saf.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -1, 1\/34229, -0.2 in decreasing order.\nAnswer: 1\/34229, -0.2, -1, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*t - 5*g + 36, 5*t + 24 = g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 - 39 = -2*p. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 175.85\nAnswer: -703.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5c94ed (base 16) to base 2\nAnswer: 10111001001010011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -t, -t + d = -3 - 7. Suppose -4*g = -t*g + 16. Solve g*r - l - 4 = r, 2*r = 2*l - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/16)\/(144\/(-96)). What is the closest to -2\/5 in 4, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a6754 - -101?\nAnswer: -a6653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2562 - 2519. Let p(i) = 170*i**2 - 2*i + 1. What is the remainder when p(1) is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 19*f**7\/42 - 31*f**3\/6 - 30*f. Find the second derivative of j(i) wrt i.\nAnswer: 380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70694 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83, -320, -709, -1244, -1919?\n\"Answer: z**3 - 82*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(171) - sqrt(19)).\nAnswer: 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 331.32706 to 1 dp.\nAnswer: 331.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 54 - 17 - 436 to t*a + g*a**2 + o and give o.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 45584396.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3617996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -12 + 4 + -1 + (-27 - -6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/(8\/(-16)). Let i be l + (3 - (1 + 0)). Suppose -s - 4 = -0. Is s not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 - w**4\/4 + 2*w**3\/3 - 3*w**2. Give a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Suppose -30 = -5*a - 0. Let w(b) = -a*b - 7*b + 15*b. What is q(w(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l - 0. Solve -a + 12 = -4*g, -g + 0*a = a + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 39284852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32101 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 59039 + 133673 = 4*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 sqrt(27)\/(sqrt(27)\/sqrt(3)*2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 5*s - 475 = 0, 5*s = 2*f - 155. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39064856 to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254337 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwm when three letters picked without replacement from {x: 3, c: 4, n: 8, p: 2, m: 2, w: 1}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -10440?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(252) - (-3 + sqrt(19) + -3))**2 + ((sqrt(19) - sqrt(19)*-3)**2 + -1)*-6 + -1.\nAnswer: -63713\/36 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 94?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 444*z - 891*z + 445*z. Let f(j) = -49*j**2. Determine f(m(o)).\nAnswer: -196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 10, b: 2}. Give prob of sequence bg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cooo. What is prob of sequence oc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 12.4122.\nAnswer: 13.4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5333703604?\nAnswer: 2, 59, 61, 163, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 9*g**2 - 2*g - 10. Let p be j(-9). Suppose 4*c + 0 = p. Suppose -5*m - c*m + 63 = 0. What is the highest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 39520, 1\/5 in decreasing order.\nAnswer: 39520, 2\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1 + 2 + 5*(sqrt(17) - (-1 + sqrt(17))) + -3)*1)**2 - (1 + (sqrt(170)*-1*5 - sqrt(170) - sqrt(170))\/(5*sqrt(160))).\nAnswer: 25 + 127*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -2 + (-17 + -9 + 11 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 8*z + 6. Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 + 62*b**3\/7 - 24*b**2\/7 = 0 for b.\nAnswer: 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 88.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 + 2*r**2 + 3. Let p(d) = d**3 - 5*d**2 + 5*d + 1. Let z(v) = -2*v**3 + 9*v**2 - 9*v - 2. Let c(m) = -11*p(m) - 6*z(m). Give 2*c(b) - s(b).\nAnswer: -4*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = -5*s, 5*s + 7 = t - 13. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, -6, -2\/79, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**4 - 12 + c**2 + 14 - 5*c**4 to the form f + p*c**3 + g*c + u*c**4 + r*c**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3208*r - 3208*r - 13*r**2 + (-2*r + r + 10*r)*(3*r - 5*r + 4*r) in the form t*r + v + h*r**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 - 5*d - 10. Let x be c(7). Solve 2*g - 4 = x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:00 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 81962 = 2*s - 81948, -4*r + 28 = 7*s for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - g + 10863 = 0, -5*g + 4*g + 3 = 0. Find the third derivative of 9*c**3 - i*c**2 + 70*c**3 - 53 + 10861*c**2 wrt c.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5 + 10*a**4 + 8*a**3.\nAnswer: 2*a**3*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -21, -34, -47, -60, -73?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131.377 - 76. Let r = v + -54.8. What is r rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 1:40 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:34 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/98*(-8)\/10*(-1953)\/(-186). Find w such that 16\/7*w**5 + 0*w + h*w**4 + 0 + 8\/7*w**3 + 0*w**2 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*a + a - s, -4*s + 14 = a. Suppose -p + 2*p - 3 = 0. Suppose 3 = p*o, 0*z - 5*z + 88 = -2*o. Calculate the highest common factor of a and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23622 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: In base 10, what is -3 - -63580?\nAnswer: 63577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -64*b - 28. Determine q(-2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**3\/3 - r. Let n(m) = -2*m. Let o(w) = -4*n(w) - 5*p(w). What is the lowest common multiple of o(-8) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-66))\/((-21415)\/(-188452)). Solve -36 + a*w**4 - 104*w**2 + 320\/3*w + 32*w**3 = 0 for w.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 2*h + h)*(-2 - 3 + 0) + (h + 3*h - h)*(3 + 3 - 3))*(-1 + 0 + 5) - h - 3*h + 0*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-656)\/(-24)*345\/230?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -172*q + 6527 = 50*q - 115*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1595780 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:06 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 18 = -42. Let o be (1\/(-3))\/((-5)\/(-75)). Suppose 3*t + 6 = 2*m - m, -3*t + 5*m = -6. Put d, o, t in descending order.\nAnswer: d, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**34\/u**25*((u*u*u\/(u*u*u*u**(8\/5)*u*u*u*u*u))\/u)\/u**(4\/5) assuming u is positive.\nAnswer: u**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4660.574 rounded to the nearest integer?\nAnswer: -4661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1034\/3437 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -125.\nAnswer: -125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 - 15*q + 2. What is t(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3 - 137 = 0. Suppose t*c - 22*c + 84 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqb when three letters picked without replacement from {b: 1, e: 3, q: 5, h: 3, a: 1, j: 1}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 0. Let p = x + 2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2193\/5 - -455. Let j = v - 33\/2. Which is the third biggest value? (a) -4 (b) j (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/(-930))\/(5\/(-1020))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:39 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11335*j**2. Let w(o) = -15*o. Give d(w(g)).\nAnswer: -2550375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zizz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7828, 15625, 23422, 31219?\n\"Answer: 7797*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.51 - -0.51. Let v = w - -17.1. Let m = 20.6 + -21. What is the closest to v in m, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbwsbswbwscss. What is prob of sequence sb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 17 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 + 11*j + 15. Let t be y(-6). Let g be 12\/t*(-2 + -3). Suppose 8 = 2*b - g. Solve 5 = b*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/(p**(3\/8)\/p))\/(p\/(p\/(p*(p*p**(-3))\/p)))**(-39) assuming p is positive.\nAnswer: p**(-563\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34747*a**3 + 34727*a**3 - 69476*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3884 - -0.9.\nAnswer: -3883.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369?\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/3))\/n*n*n**(-7)\/n*n)\/(n\/n**7*n*n**(1\/3)))**(-9) assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 68 = 4*u, -45 = 4*f + u + 11 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122102111 - -212?\nAnswer: -1122101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1844.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3361679 divided by -15.\nAnswer: -3361679\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52630045 (base 8) in base 7?\nAnswer: 164234254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w + 4 = 0. Suppose 5*x + 3*p = 2*p - 6, -4*p = 4*x - 8. Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9110710 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8347 and 36833906.\nAnswer: 36825559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*z**4 + 4*z**2 - 2*z + 57263*z**3 - 57251*z**3 + 9*z**2 + 30*z**4 to the form i*z**4 + u*z + g*z**2 + q + f*z**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/51*3)\/((-66)\/(-44)). Let q = 2 - 1. What is the closest to 2\/7 in q, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u*u\/(u*u*((u*u*u**(-2)*u)\/u)\/u)*u*u))**(-16)*(u**9\/u)\/((u**(4\/9)*u)\/u))**(-2\/33) assuming u is positive.\nAnswer: u**(-1000\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 1) + (11 - (-14 + 36) - -13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 plus -285095183571?\nAnswer: -285095181361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 200063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -38. Let v(s) = -s**3 - 3*s**2 + 5*s + 5. What is v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12462 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 790507, 790506, 790505?\nAnswer: 790504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -127, -771 in descending order.\nAnswer: 1, -127, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + 0.7. Let y = 3 - n. Let z be ((-8)\/6)\/(8\/(-12)). Which is the closest to y? (a) -2\/15 (b) -2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3\/7 + 60*m**2\/7 - 132*m\/7 + 68\/7 = 0. Calculate m.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. What is the smallest value in -0.3, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17203998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + 1)*-3)**2.\nAnswer: 168*sqrt(3) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -5, -10, 5 in decreasing order.\nAnswer: 5, -2\/7, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 + 7*i - 7. Let z be j(7). Is 8 a factor of (z + (-2 - -1))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -5*h - 80. Let s = -58 + h. Let f be 2*(14\/44 + (-6)\/s). Which is bigger: -1\/28 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4486*p**3 + 40*p**2 + 15*p - 442. Let m be f(-18). Round m to the nearest 100000.\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d**3 + 1 + 3395117*d**2 - 3395117*d**2.\nAnswer: -49*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 16*p**2 - 10*p + 4. What is j(7)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/10*4\/6. Let j(b) = 3*b**2 - b + 1. Let w be j(u). Which is smaller: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-265*g**2 - 338*g**2 + 666*g**2)*(63*g**2 - 5*g**2 + 0*g**2 - 1 + 1 + g**2 + (2*g - 2*g - 2*g)*(0*g + 5*g - 4*g) + 3*g - 2*g**2 - 3*g).\nAnswer: 3465*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7792107 by 26777.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -631 - -210. What is the remainder when h\/(-9) + 2\/9 is divided by (6 + -1)\/((-1)\/(-5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21850304491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1474b39 - 35?\nAnswer: -1474b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -51, -89, -129, -171, -215?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + t - 4. Let d(q) = -5*q**2 + 2*q - 10. Let u(v) = 4*d(v) - 7*n(v). Factor u(k).\nAnswer: (k - 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*s - 80, s - 60 = -2*z + 6*z. Let l = z - -30. Let m = l - 0. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985 = 409*q - 101 - 1186 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 3. Let f be h(0). Suppose f*i + 3*x - 66 = 6*x, x = -3*i + 74. Suppose -5541 = 21*n - i*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1310 - 510 = 0. Let s be 4\/(-26) - 56\/k. Solve -2*v = b - 5, -5*b + s*b = -2*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001100001000100 - -10111000001?\nAnswer: -1010001001010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - 5*p**6 + p**6 + 3*p**2 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 34*w**2 + 2*w**2 + 21*w**2 + 2*w**2 + 3*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -2, 0.18, -743?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116*c**2 + 4552*c**2 + 993*c**2.\nAnswer: 4429*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((5 - (11 - 20)) + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12588.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/2100*7*65\/2?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13 - 4 = 2*d, 1 = -d + 3*v. Suppose d*g - 61 = -31. Suppose g = -5*m - 7*p + 2*p, 5*m + p = 1. Solve 5 = 2*j - y, j - 5*y + m = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*((a*(a**(-8)\/a)\/a*a)\/a)\/a)**(-16)*a**4*a**(-1\/18) assuming a is positive.\nAnswer: a**(2375\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19358 + -18595. What is the remainder when j is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 1. Let n(q) = -8*q**2 + 18*q + 9. Let b(a) = -36*c(a) - 4*n(a). Let w(f) = -4*f**2. What is w(b(r))?\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1 + 6*y + y - 3*y + 5*y. Let d = -2 + 4. Let h be l(d). Solve -3*v = 5*i - 0*v + h, -i + 4*v = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 9*o + 6*o)*(0*o**2 - 5*o + 5*o + 18*o**2) to a*o + h*o**2 + j + i*o**3 and give i.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29429433 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 23, 35, 49, 65?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllnplpnnlnnllnpnpln. Give prob of picking 1 n and 3 l.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:09 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-312)\/21 + 3\/(-21). Let s = b + 3. Find the common denominator of (-70)\/4 - s\/(-12) and -65\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e6 (base 16) to base 5.\nAnswer: 12443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**7\/630 + k**6\/90 + 7*k**4\/24 - 3*k**2. Let f(l) be the second derivative of w(l). Factor f(n).\nAnswer: -4*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -128 + 124. Is 6 a factor of (-168)\/(-12)*54\/21*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/71 or 1?\nAnswer: 7\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 2*a - 0*a, 5*z + 4*a = -9. Let p be z + (-2)\/12 + (-1 - -2). Sort p, -1, -23 in descending order.\nAnswer: p, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -15 + 7 + -2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303332200 - -1?\nAnswer: -1303332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 3*g**3 - 5*g**3)*(4 - 2*g - 4) - 3*g**2 + 3*g**2 + 2*g**4.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.46 + 1.525. Let z = f + -0.202. Let t = -0.137 - z. What is the fourth smallest value in -1, -2\/25, t, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + 19 + (-2 - (0 + 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/85)\/((-2)\/(-30)*2\/2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002887201 to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 74 = -7. Solve 5*m + c - 5*c = -6, -1 = -m + w*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2920990154812 and 1.7.\nAnswer: -2920990154810.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190.58 - 173.6. Let t = d + 8.07. Let u = 25 - t. Is 2\/5 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0012 - 0.0988. Which is the closest to x? (a) -0.2 (b) -1.6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2.3802, -6, 0.4 in ascending order.\nAnswer: -6, -2.3802, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 71244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.75 rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 918\/70 - (94 + 7505\/(-95)).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*g**2*s + 15*a**2*g**2*y + a*g**2*y**2 + 3*a*g*y**2 + 38*g**3*s*y**2 + g**3*y with respect to s.\nAnswer: -a**2*g**2 + 38*g**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5276*n**3 - 22*n**2 + n + 10 wrt n?\nAnswer: -31656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3738 and 154.\nAnswer: 41118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 5, h: 4, t: 2, p: 1, k: 1}. Give prob of picking 1 j and 2 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 137 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35069, -35169, -35265, -35357?\nAnswer: -35445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*o + 51*o - 27486. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187969347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*l**3 - 24 - 185*l**3 - 2*l**2 - l + 0*l**2 + 92*l**3 as o + d*l**2 + g*l + p*l**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953784763?\nAnswer: 41, 43, 541001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -4 + -4 + (22 - 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-2)\/6 + 32\/24). Let l(s) = 5*s + 55. Let o be l(i). Solve z = -5*r + 5, -5*r + z + o = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*h = -2*v - 106, -h - 98 = -v. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242.100000105 - -242.1. What is s rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 6)*(-2 + 0 - 2)*(2 + 1 - 1)*(-61*r**4 - 62*r**4 + 38*r**4) in the form u*r + d*r**4 + h*r**3 + k + g*r**2 and give d.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 44. Suppose 91*x = 142*x + 715*x - 111836. What is the remainder when x is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80681520 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3203*m + 21808*m + 6 - 6 + 1332*m to q*m + h and give q.\nAnswer: 19937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*p = -149 - 99. Put -5, 143, 3, 2, p in ascending order.\nAnswer: -5, p, 2, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/76 and -143\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14848*i**4 - 7353*i**2 wrt i.\nAnswer: 356352*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/12 - 206\/(-8) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6332613008 by -4.\nAnswer: -1583153252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111011 - 0?\nAnswer: -1110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and -125\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 37*x + 168. What is y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 - 56*v + 233. What is the remainder when 270 is divided by m(5)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 49*k - 31. Let r(g) = g**3 - 9*g**2 + 7*g - 6. Let q be r(8). Let h be x(q). Calculate the highest common divisor of h and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvf when three letters picked without replacement from {f: 3, v: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5684368 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2. Let k(f) be the third derivative of -5*f**2 - 1\/12*f**4 + 0 + 0*f**3 + 0*f. What is s(k(n))?\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + w - w + (1 - 1 + w)*(4*w + 0*w - 3*w) + 3*w**2 - 2*w**2 - 3*w**2 + (26 + 3*w**2 - 26)*(-4 + 2 + 1) to r*w + g + k*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2090 - 2148 = -53*x - 2496 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/46536 and 133\/5054142.\nAnswer: 141515976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -7.1. Let i = 6.168 - d. Let c = 0.03199901 + i. Round c to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/232, 7\/3, -4?\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 10*c - 172. Let q be h(-18). Let j be q\/84*(-18)\/1. Let s(i) be the second derivative of -i**3\/2 + 5*i**2\/2 + i. Calculate s(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + n - 4. Let w be m(5). Let f(c) = -c + 1. Let l be f(w). Suppose 0 = -l*o - 4*o + 8. Solve 0 = -3*x - o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y. Let i(z) be the third derivative of 367*z**5\/15 + 40*z**2 + 57*z. What is w(i(b))?\nAnswer: -14680*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 10*t**2 - 10*t + 12. Let c be z(6). Let y be -1 - (c\/3 + 3). Factor -y - 437*k**2 - 910*k**2 + 4 - 1372*k**3 + 171*k**2 - 336*k.\nAnswer: -4*(7*k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8224700 to the nearest ten thousand.\nAnswer: -8220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5425 - -8?\nAnswer: -5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(1008) - sqrt(7))*-4*4 - (5*(sqrt(42) - sqrt(84)\/sqrt(2)))\/(sqrt(6) - -3*sqrt(18)\/sqrt(3))) + -5)**2.\nAnswer: -4160*sqrt(7) + 1211417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289645 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0380564131 rounded to 5 dps?\nAnswer: -0.03806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9467 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (-440)\/60)\/(170\/(-8772))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 + 39*g**2 - 3*g**3 + 2*g**4 + 8*g**2 - 4*g in the form r*g + f*g**4 + t + n*g**3 + c*g**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*h + 2 = h, 2*g + 2 = -2*h. Suppose 4*p + u - 867 = g, -2*p + 5*u + 201 = -p. What is the highest common divisor of p and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4843839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1734\/(-399228)*11 - (-2)\/38\nAnswer: 1\/206","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/4 - 42255*q**4\/4 - 169235*q**3\/4 + 1141155*q**2\/4 + 1141965*q\/2 - 2282850 = 0. What is q?\nAnswer: -6, -4, 3, 8455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1251 + 23?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -819612 divided by 4\nAnswer: -204903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**3 + 0 + 1\/12*p**4 - 1\/2*p**2 + 5*p. Calculate k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyuuu. Give prob of sequence uly.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 328.\nAnswer: -13\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Differentiate 11*d**2 - 3*d**2 + 0*d**g + 5 with respect to d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/20 - d**4 - 2*d**3 - 7*d**2\/2 - 3*d. Let c be g(-11). Let j = c + -2. Solve 3*u = 2*r - 0 - j, -u = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17)*2 + 1 + sqrt(17).\nAnswer: 4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 p when three letters picked without replacement from {p: 1, u: 3, r: 7, h: 1, j: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 32)\/(3 + -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000000101011000 + -10?\nAnswer: -100111000000101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*k = 16, -k + 1 = -5*z + 14. Find the first derivative of -1 + z*o - 1 + 3*o - o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530\/(-424)*(-8)\/215.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -63?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbxbdwbobwbmmdbb. Give prob of picking 1 x and 1 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119 (base 16) in base 10?\nAnswer: -4377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3495 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 4, b: 7, r: 4, q: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 2003 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {v: 2, c: 1, m: 10, o: 4, h: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 15 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/5 - 712\/(-20). Let a be ((-112)\/x)\/((-3)\/60) + -1. What is the tens digit of 9693\/a + 2\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4318 divide 306760753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4856444.\nAnswer: 2, 197, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**6\/60 + 11*y**5\/30 + 2*y**4 - 12*y**3 - 21*y**2\/2 - 36*y. Let l(q) be the first derivative of i(q). Factor l(g).\nAnswer: 2*(g - 1)*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = -16. Solve 2*x - u = 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21376 - -748102\/35. What is the common denominator of 1 - -3 - 80\/(-48) and r?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-68)\/36 - (1040\/(-45))\/8. Factor -1\/3*o**y + 3 - o - 5\/3*o**2.\nAnswer: -(o - 1)*(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36739 or -36741?\nAnswer: -36739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (518\/185)\/(-7)*(246\/(-32) + -2).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632558130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**5 + 0 + 1\/4*r**4 + 0*r**3 + 0*r + r**2 + 0*r**6 - 1\/112*r**8 + 0*r**7. Find the second derivative of m(p) wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -125*t**3 - 8*t**2 - 8*t + 24. Let l(y) = -83*y**3 - 5*y**2 - 5*y + 16. Let b(g) = 8*l(g) - 5*w(g). Is b(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454253322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - q. Let s be -7 + 2880\/39 + 2\/13. Let l = -66 + s. Give u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2 + 1 - 5). Suppose 2*o = 4*n - 16, -n + 2*n - 14 = 3*o. Let y = b + n. Solve -3 = k + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 5*i**2 - 6*i - 22. Let l be c(-5). Put l, 2\/7, -3\/4, 1 in decreasing order.\nAnswer: l, 1, 2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 48 = -607*v + 604*v, 8*u + 77 = 5*v for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = i. Suppose y = 2*y - i. Which is smaller: 3\/5 or y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 5)*(0 - 2 + 0)*(v**2 - 8*v**2 + v**2).\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -20. Let t(s) = 6*s**2 + 5*s - 5. Let o(f) = -15*f**2 - 12*f + 12. Give r*o(n) - 12*t(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -366519 divided by -1\nAnswer: 366519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78895.33 millennia?\nAnswer: 946743960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20 - 5*x**5 + 3*x**5 - 6*x**5 + 0*x**3 + 5*x**3 - 4*x wrt x.\nAnswer: -160*x**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 30 = -13*h. Let z = h + -12. Let y(b) = -11*b**3 - 6*b**2 - 4*b - 2. Is y(z) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/7 - 38*s**3\/7 + 2*s**2\/7 + 38*s\/7 = 0.\nAnswer: -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -32*l + 30*l. Let r(w) = 18140 - 133*w**l - 18140 + 56*w**2 + 56*w. Let f(a) = -12*a**3 + 5*a**2 + 5*a. Give 56*f(c) - 5*r(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-584)\/438*(-25)\/((-2000)\/708)?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 584 and 0.1?\nAnswer: 58.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3220 and 71\/70.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 370369970 * 0.1\nAnswer: 37036997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018969 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/7, 34\/9, 15, 0.1 in descending order.\nAnswer: 15, 34\/9, 3, 0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62 take away 122715?\nAnswer: -122716.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 6. Let b be y(-8). Suppose 2*n + 5*p = -8 + b, 3*n + p = 4. What are the prime factors of 8 - (-1 + n + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693, -711, -743, -795, -873, -983, -1131?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(-s + 0 + 0 + (0 + 3 - 2)*(s - s + 2*s) + 2*s + 0*s + 0*s + 3*s + 2*s - 7*s)*(-2*s - 13 - 29 + 3) as n*s**2 + j*s + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -41) + 3 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/12)\/((-28)\/(-6)). Which is the second biggest value? (a) -5 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 143, -3 in descending order.\nAnswer: 143, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -835667652 by -2.\nAnswer: 417833826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2 + 1494745457.\nAnswer: 1494745454.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355640 is divided by 282.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 81.6. Let y = z + -24.7. Is y not equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5684630 and 5684630?\nAnswer: 5684630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 719660729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 + 5*a - 449. Let z(q) = -21*q**2 - 8*q + 674. What is -8*b(d) - 5*z(d)?\nAnswer: d**2 + 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:38 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 12*d - 8*d. Find the third derivative of -d - 2*y**6 + 96 - 24*y**2 + 2*y**4 + 3*y**4 wrt y.\nAnswer: -240*y**3 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**8\/5376 + p**7\/504 + 5*p**6\/576 + p**5\/48 - 9*p**4\/2 + 18*p. Let a(r) be the third derivative of s(r). Factor a(g).\nAnswer: 5*(g + 1)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 460*r - 1381. Calculate p(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*b**4 + 22*b**2 - 20*b**2 + 197 - 2*b**2 wrt b.\nAnswer: 196*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 9*t**2 - 24*t + 41. Let w be l(6). Solve -2*f - 2 = -2*j, w*j - f - 9 = 3*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y - 3. Suppose 2*x - 3 = y. What is the third derivative of 5*z**2 - 6*z**x + z**4 + z**4 + 3*z**4 wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + q - 1. Let r(p) = -4*p**3 - 13*p**2 - 20*p + 12. Let z(n) = -r(n) - 5*x(n). Let m be z(14). Solve -3*s + m*s = -4*f - 8, s - 2*f = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12 + 8)*(190*u - 381*u - 34 + 183*u).\nAnswer: -176*u - 748","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**8\/6720 + s**7\/1008 + s**5\/60 - s**2. Let a(c) be the third derivative of u(c). Find the second derivative of a(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.4 (c) -23 (d) 1740 (e) 1\/5 (f) -154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 59167565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 21*t + 2*t**3 - 4*t**3 + 0*t**3 to the form s*t**3 + v*t**2 + d*t + k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327730432 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0777 - 0.1777. Suppose -18 = -3*r + 3*g + 3, 5*r - 25 = 3*g. Let o be (-7 + r)*(-4)\/110. What is the nearest to n in 0.2, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*10\/48)\/(15\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a week in hours?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:04 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715541.\nAnswer: 103, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5729 - -9752. Suppose 5*p = -3*z + 13229, -3*p = 3*z - h - 3912. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11583 and 3834.\nAnswer: 1644786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1805 + -4?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/(-2)*66\/5. Let k = o + 77. What is the highest common factor of 34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i*i)\/(i*(i**(1\/9)*i)\/i)*i**(4\/3)*i**5)**(7\/4) assuming i is positive.\nAnswer: i**(707\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.054 - 4.296. Let o = v + 2.56. What is o rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) - (-95115)\/60. Let l = x - -1665. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 - 4*r - 36. Let h be q(-5). Suppose h*g - 1092 = -5*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 754\/110 - (-2 - -9). Let x = 36\/55 - t. Let o be 2*((-23)\/(-12) - 2). What is the closest to -0.3 in 5\/6, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.95, -60\/151, 0.27, -1\/3?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 8. Let i be v(0). Let z be 12\/i - 13\/(-2). Put -6, 4, z in increasing order.\nAnswer: -6, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -515 and -573941382.\nAnswer: -573941897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-77)\/(-44))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6519780 (base 10) to base 9\nAnswer: -13236410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4124723, 8249436, 12374147, 16498856, 20623563, 24748268?\nAnswer: 28872971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13250 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**3\/6 - 11*q**2 - 2*q + 374. Calculate g(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 3. Let d be t(8). Solve -9*q**3 + 7*q**4 + 27*q**2 - 5*q**3 - 2*q**3 - 7*q**3 + 2 - d*q = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -4*p. What is the remainder when (8878\/(-69))\/(p\/3 + 0) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - 20*d**2 + 0*d + 0*d - 5*d to the form f + g*d**2 + p*d and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Sort 2\/3, -1, 0.5, t.\nAnswer: -1, 0.5, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {r: 3, z: 1, o: 13, b: 3}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 5. Determine d(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 + -0.124. Round z to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -36. Suppose x*p - 2*f = 30, 2*p - 41 + 1 = -4*f. Let l(q) = 4*q**2 - 39*q - 5. List the prime factors of l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(153) - (sqrt(153) + (sqrt(153) - (-5 + sqrt(153) + -3 + sqrt(153)) - sqrt(153))))**2 - sqrt(153)) + -4*sqrt(153) + 4 + 4)*-1.\nAnswer: -680 + 111*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n*n**(4\/15))**(-1\/16)*((n\/((n\/(n*n\/n**1))\/n))\/n)**45\/(n**(1\/3)*n**(-1\/6)\/n) assuming n is positive.\nAnswer: n**(2779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -21945, -1, -3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 16. Suppose 2 - 14 = -c*a. Let h = -3 + a. Solve h = p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 18*h**2 - 18*h - 8. Let v be c(-13). Let w = v - -1354. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 7*a**2 + a + 5. Calculate j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 33 = 35*m - 4*m. Which is the fifth smallest value? (a) -0.4 (b) m (c) 27 (d) -2 (e) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8182482 and 8182482?\nAnswer: 8182482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75415 and -0.04.\nAnswer: -3016.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102161 + 0*x + 102155 - x.\nAnswer: -x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20032823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (0 + (-5 + sqrt(700) + 0 - sqrt(700)) + sqrt(700) + 3)*-1)*1)**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 1757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:21 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27240 - 27017.97. Let t = g - 223. Let o = -0.96999664 - t. What is o rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 7*o**3 - 18*o**2 - 20*o - 8.\nAnswer: -(o + 1)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 6, m: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15612*2.\nAnswer: -31224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 39 = 3*o + 5 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -1\/6*q**3 + q**2 + 0 - 3*q. What is a(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(6\/11)\/g)\/g)\/((g*(g\/(g*g*g**(2\/19)*g))\/g)\/g))\/(g*g\/(g*g**(2\/13))*g)**(16\/5) assuming g is positive.\nAnswer: g**(-44246\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (-1 + sqrt(425))*-3)**2 - sqrt(425) - sqrt(425).\nAnswer: -130*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**0))\/(((i\/(i**(-4)\/i))\/i)\/i*i))**(-12)\/((i**(1\/3))**15\/(((i**1\/i)\/i)\/(i\/(i\/(i**(-1\/6)\/i))))) assuming i is positive.\nAnswer: i**(331\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 556 and 973?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 78 - 129)*(1 + 3 - 2)*(2*w + 4 - 4) + (w - w - 2*w)*(0 - 2 + 3) + 3*w - 3*w - w - 5*w + 6*w + 0*w.\nAnswer: -670*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvzmzvz. What is prob of sequence vzmv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-7) + -2 + 8\/28. Solve -18*f = -l*f - 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb - 157?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340, -4, -3, 12 in descending order.\nAnswer: 12, -3, -4, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270840609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 2*p**2 - 2*p**3 - 105*p + 99*p. Let y(u) = -u**2 - u. Determine n(w) - 4*y(w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 209.\nAnswer: 32\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 134073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 477 + (2 - 1)\/(6 + 184\/(-32)). Which is smaller: u or 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 4\/(-6))*6. Suppose -4*f = -2*r - 4, -5*f + 3 = -3*r - k. Let g = 15743\/18 + -1749\/2. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2 - 7*m + 2. Let h be y(-5). Let o(j) = 22*j**2 + 223*j + 32. Let b be o(-10). Suppose 0 = b*i - 17 - h. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4283.29 + 4266. Let h = 17 + z. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5792688 divided by 528?\nAnswer: 10971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10939957 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 + 18*z**3 - 857*z**2\/3 + 1040*z + 1344.\nAnswer: -(z - 24)**2*(z - 7)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 minus -57214610828?\nAnswer: 57214610556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 748 + -739. Sort -5, -4, 5, t in descending order.\nAnswer: t, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-462) + (166\/(-2))\/(84\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, -10, -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020221 + -10?\nAnswer: 22020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 2\/7 (b) 0.3 (c) -6 (d) -1\/8350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7216540 divided by 3.\nAnswer: -7216540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 13*j**3\/3 + 3*j**2\/2 + 175. Let a(b) = -2*b**2. Give r(a(t)).\nAnswer: 52*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.5962 decades in millennia?\nAnswer: 1.595962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 2. Let o(x) = -2*x - 1. Let z be o(d). Solve -2*h = -l - z + 4, -5*l + 3*h - 17 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165.62745*39\nAnswer: -6459.47055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/((-1)\/2). Suppose -7*k + 3*k - 4*y = -80, 8 = k - i*y. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*3*3*-2 - ((1 + sqrt(567) - sqrt(567)) + sqrt(63)*-3 + 0).\nAnswer: -1 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + w + 24. Solve -w*o - 10 = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (6 - (-5 + 7 + 0 + -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7550 is divided by 1875.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/27888 and -101\/20632.\nAnswer: 71923152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.688 + 286618285243.\nAnswer: 286618285242.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/55 + 356\/(-22). Let i = -338 + 341. Sort i, 0, w, 4\/5 in increasing order.\nAnswer: w, 0, 4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.079 and -65.47?\nAnswer: 65.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 4, u: 8}. What is prob of picking 1 c and 1 s?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 48*d - 41. Let l be n(1). Suppose l*o = -297 + 528. What is the highest common factor of o and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 451397*t + 225704*t + 225707*t - 3.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.3. Let r = -0.2 - -0.4. Let u = r + z. What is the closest to u in -2\/3, 0.5, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4095*x - 1364*x - 1363*x - 1366*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 45. Let f = -1296 - -1304. Calculate b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*j = -647 - 1316 + 643 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 3*g - 2*g. Let r = -3 - -5. Let u(a) = 3 + 3*a - 3 - r*a. Determine l(u(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00219176846 to 6 dps.\nAnswer: 0.002192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {k: 1, v: 3, p: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -312 - -336. Calculate the remainder when 191 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-2)*1\/3. Suppose 3*x - 4*x = -y - 60, 2*x - 124 = r*y. Let v = 105 + x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -4, -4, -10, -28, -64, -124, -214?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y - 1. Let t be f(2). Let a be (-6153)\/36*3*1. Let q = -513 - a. Is t greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2565 and 48621.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 733, 727, 721, 715, 709?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/7, 5.\nAnswer: -4, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -671, 1, -4 in decreasing order.\nAnswer: 1, -4, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11688 is divided by 282?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(2*650\/180)\/((-650)\/156).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*t + 49. Is 16 a factor of (-8)\/t + (-228)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*p - 4*h + 31, -3*h + 340 = -64*p + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8431890 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyxyyxyyyxaaoxa. What is prob of picking 1 y and 1 u?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(5 - 2) - -9. Suppose 0 = -4*v - 18 + 234. What is the remainder when o\/v + 338\/18 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 3*n, -13 = 4*p - 2*n - 39. Solve -2*r = -1 + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b. List the prime factors of w(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5985 and 1926315?\nAnswer: 13484205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4370 is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (9\/3)\/1. Let b = n + 10. What is the highest common divisor of 81 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 2:35 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 20. Let g(v) = v**2 - 15*v + 2. Let j be g(15). Which is greater: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19)*-2*1)**2 - ((sqrt(190) + 3*sqrt(190))*-5 - sqrt(190))\/sqrt(10)) + 1.\nAnswer: -379 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 113. Sort 5, 2, n, 1 in descending order.\nAnswer: 5, n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20029 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986617 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948160783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**0)**14\/(d**(-2\/7))**(2\/21) assuming d is positive.\nAnswer: d**(6178\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18546097 + 235.\nAnswer: -18545862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-954)\/(-168) - 5) + 168\/(-392). Which is the closest to -0.03? (a) w (b) 4\/3 (c) 3\/7 (d) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246983 is divided by 3106.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17875, -35759, -53653, -71563, -89495?\nAnswer: -107455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28313, -28332, -28355, -28382?\n\"Answer: -2*x**2 - 13*x - 28298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8412 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1602.07 + -1593. Let l = 0.216 - 9.316. Let u = v + l. Sort 3, -2\/7, u in increasing order.\nAnswer: -2\/7, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**3 - 2*g**2 + g + 1. Suppose -r + 1 = 0, 0*r = 4*q - r - 3. Let i be u(q). Let m = 31 + i. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*s = -13, 9*m - s - 38 = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1415 in descending order.\nAnswer: 1415, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3 + 4 + 0 - 4*r. Let m be d(-5). Let p = 186 - 182. Solve -m*s - 6 + p = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/61 - -203\/549. Which is the closest to 0? (a) n (b) 4\/5 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-80)*(-45)\/(-18)*(15 - 1). Let d(s) be the second derivative of s**2 + 14*s + 0 + y*s**3. Find the first derivative of d(j) wrt j.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539554, 1079199, 1618844, 2158489, 2698134?\nAnswer: 3237779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11475 + -240977\/21. Which is the third biggest value? (a) -37\/4 (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + n + 0 + (1 + 4 - 3)*(2*n - 2*n + n) - 2 + 2 + 9*n + 3 - 3 - 2*n - 2*n + 5*n + 2*n to v*n + p and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135\/235807 or -1?\nAnswer: -135\/235807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:17 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -4 + 3)*1. Let t(i) = -42*i + 1. Let r be t(-2). Suppose -5*g + r = -p*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 791*s + 166*s + 222*s + 8728 + 62012 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 29 (b) -0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29193, 29466, 29739, 30012?\n\"Answer: 273*i + 28920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8791, 35136, 79037, 140488, 219483?\n\"Answer: -z**3 + 8784*z**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h + 11 + 276 + 350 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let x be -1 + (f\/6 - (-210)\/(-36)). Let c = 11 - x. Calculate the greatest common factor of c and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/7 + 778*k**3\/7 - 104250*k**2\/7 + 5218750*k\/7 - 7812500 = 0. Calculate k.\nAnswer: 14, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4 + 3124115*y**3 - 3124105*y**2 - 3124115*y + 3124110 = 0.\nAnswer: -1, 1, 624822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 407450227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -10*d - 104. Let a be (-38)\/342 + (-38)\/d. Solve -6\/7*j + 4\/7 + 8\/7*j**3 - 2\/7*j**5 + 0*j**4 - 4\/7*j**a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.7 + -60. What is the third biggest value in 1\/6, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2678\/27, -3, -0.05, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/9 - -13\/18. Let q = 751\/447 - 2\/149. Let g = -13\/6 + q. Which is the closest to g? (a) -5 (b) 3\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1010011100001000101100101?\nAnswer: -1010011100001000101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 10*s + 14. Let g(v) = v**2 + 25*v + 87. Let u be g(-20). Calculate f(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13416, -26844, -40286, -53748, -67236, -80756?\nAnswer: -94314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3479 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 1 + 2*s + 3*s + 8*s.\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 88. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*k - 486 = 0, -3*b + 5*k + 332 + 4 = 0. Let z = -121 - -206. What is the greatest common factor of b and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-1917)\/(-486))\/(73\/18 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1041.4261 and 3.\nAnswer: -3124.2783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5250.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -17. Suppose 35 = -3*m - 82. What is the smallest common multiple of 6\/m + (-1305)\/(-117) and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 18*t = -56 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -14, -39, -76, -125, -186, -259?\n\"Answer: -6*c**2 + 5*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67, -141, -229, -337, -471, -637, -841?\n\"Answer: -l**3 - l**2 - 64*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/20 + 3*y**4\/4 - y**3\/6 + 2*y**2 - 2*y. List the prime factors of x(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2577 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -22. What is the units digit of (k\/2)\/((-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 153.952\nAnswer: -6.15808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (800 + 29 + 577 + 530)*(-2*c**5 - 3*c**5 + 3*c**5 + (-c**4 + 2*c**5 + c**4)*(2 + 1 - 4) - 2*c**5 + 4*c**5 + 0*c**5 - 2*c**3 - c**5 + 2*c**3).\nAnswer: -5808*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57398523 and 31736?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 8*s - 12, 15 = i - 4*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-202)\/(-30) + (-496)\/93 + (-274)\/10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 1710?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*d**2 + 24*d + 3*d**3 + 33*d**2 - 115*d**2.\nAnswer: 3*d*(d - 8)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147860 and 15750.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-36) - (-2 - 2532\/27). Suppose -j = -x - 3*x. What is the remainder when 3\/9 - (-206)\/3 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948438.8ng to milligrams.\nAnswer: 0.9484388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -39. Let a be 12*(1 + -2)*(-3)\/p. Let n(b) = 3*b + 14. Does 32 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**5\/7 - 146*v**4\/7 - 96*v**3 - 1404*v**2\/7 - 1188*v\/7 - 162\/7.\nAnswer: -2*(v + 3)**4*(6*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m*m**(-3\/4)*m**(-2\/3)\/(m\/m**(-4\/3)))**(-3) assuming m is positive.\nAnswer: m**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2, 945, -0.3?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p - 2*r + 14, 3*p = -r + 47. Suppose p*w + 16 = 22*w. Let d be 2 + -4 + (w + -6)\/(-1). Solve 7*v = d*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 2. Let c(s) = 4*s - 31. Let p be c(8). Let x(m) = -m - 1. Calculate p*n(a) + 5*x(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26054585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3015635724 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -13. Let b(a) be the third derivative of a**6\/120 + a**5\/12 + a**4\/24 - a**3\/2 + a**2. What is the smallest common multiple of b(t) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2320, -4539, -6668, -8713, -10680, -12575, -14404?\nAnswer: -16173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 + -3 + (-4 - -11). Calculate the highest common factor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 - (-7648)\/(-15840) - 22\/(-99)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 - 5*r - 38. Let d be l(6). Solve 0 = -5*n + 2*y - 10 - 9, -d = 4*n + 4*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.65 + -2.85. Let j = -1.2 + 4. Let d = p - j. Which is the second biggest value? (a) 0 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500590 (base 11) to base 15.\nAnswer: 10dc09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2092*c**5 - 15*c - 1 wrt c.\nAnswer: -41840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + u + 256. Suppose -21*g - u = -142. What is the remainder when 25 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -86. Let v(r) = -r**2 - 6*r - 2. Give v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637958 is divided by 148904?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/3 + 5206*h**3\/3 + 1739*h**2 - 52078*h\/3 + 41656\/3 = 0?\nAnswer: -4, 1, 2, 5207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1911 (b) -1\/8 (c) -24\/13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 4) to base 10.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 15. Calculate u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*p - p - 695 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -973645370, -973645368, -973645366, -973645364, -973645362?\nAnswer: -973645360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/5980 and -83\/460?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 630 + -634. Let i = -0.2 - -0.6. Which is the closest to -2\/5? (a) v (b) i (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3121 - -4?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(175\/(-4)))\/(8\/(-20))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1999 and 1997 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 5\/2 (c) 2 (d) 4 (e) 1\/8 (f) -38\/21593\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 15*n**2 + 68*n + 788. Determine f(-10).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 872*s + 435*s + 437*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u - 114*u + 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1855*z. Let d(o) = -o**2. What is d(n(b))?\nAnswer: -3441025*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 1. Let n(c) = -3*c**2 - 12*c + 6. Let r(t) = 5*t**2 + 22*t - 11. Let o(y) = 11*n(y) + 6*r(y). Calculate s(o(x)).\nAnswer: 24*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -5, 32, -1, 3, 247?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4073079.7779899 + -4073080. Let i = 0.222 + f. Round i to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Let a = -726\/7 + 221\/7. Let x = -72 - a. What is the closest to -0.1 in -2\/13, x, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**4\/(a**(2\/3)*a)**18*(a\/(a*(a\/a**(-3\/8))\/a*a)*a*a**(2\/5)*a)**41 assuming a is positive.\nAnswer: a**(417\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5069502 divided by -5.\nAnswer: -5069502\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/408)\/((-5)\/(-420)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007001 is divided by 1003?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4633 (base 10) to base 14.\nAnswer: -198d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-935)\/(-5500)*-20)\/((-2)\/10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -8809159.\nAnswer: -3\/8809159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/10164 and -95\/189672.\nAnswer: 22950312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:52 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2884 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*g**2 - 1078*g**2 + 2180*g**2.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1124*a**3 - 1127*a**3 + 0*a**2 + 2*a + 10*a**4 + 3*a**2 + 2*a**2 in the form g + n*a**3 + y*a + c*a**4 + l*a**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g**3 - 2223*g**2 + 9*g. Let c(v) = -3*v**3 + 557*v**2 - 2*v. Give 18*c(b) + 4*q(b).\nAnswer: -2*b**3 + 1134*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*h - 1, -5*k + 0*h + 32 = 4*h. Let b be (-4 - -7)*k\/(-6). Suppose -3*p - 1 = 3*q - 4*p, -14 = 4*q + 5*p. Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = l + 2*h, -5*l + 27 = -4*h. Solve -l*c + 2*c - b = 12, -2*c - 15 = -3*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 408*y + 3666. Give r(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-4))\/((-1)\/12). Suppose 2*d + j = 8*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 6*q - 2*q = 148, 2*q + 38 = l. Suppose 28*v = 32*v - l. Suppose -v*s = -94 - 66. Solve -4*y = -s, 2*i - 2*y + 16 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142431100 (base 5) to base 12\nAnswer: 301484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 7*l - 161. What is a(10)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -5 - sqrt(343)) + 4 + sqrt(343) + (sqrt(343) + sqrt(343)*-4 + 0 - sqrt(343)).\nAnswer: -21*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u + 127. Is 23 a factor of w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953841449 to the power of 1\/2, to the nearest integer?\nAnswer: 30884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.566 * 10247.\nAnswer: -5799.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -126 and -424636 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -605, -2208, -5361, -10580, -18381, -29280, -43793?\nAnswer: -62436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*t - 50, h + 5*t - 77489 = -77422 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/6 + 7356091*u\/6 = 0?\nAnswer: -7356091, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.0166, 2, 3\/7, -0.6?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*c = -639*c + 90. What is the highest common factor of 279 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(7\/(-252)))\/(7\/(-14) + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 92 = -41 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -22 in increasing order.\nAnswer: -22, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: bc28 (base 13) to base 8\nAnswer: 63165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78829 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.781467 years to decades.\nAnswer: 0.7781467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3287 and 612?\nAnswer: 2011644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 207.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 68. What is the remainder when 47 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.803 and -11.\nAnswer: -30.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 0.1 (c) -446 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1)\/sqrt(11) + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -6*d**3 - 1095*d**2 - 8898*d - 4176 = 0.\nAnswer: -174, -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 0.2 (c) -0.23 (d) -0.16 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**3 - 6*b**2 + b + 7. Let s be w(3). Suppose -6*a = 25 - s. What is the remainder when 110 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/34236 and -16\/1395117?\nAnswer: 5580468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -8, -47, -112, -209?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108777 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imff when four letters picked without replacement from fimmfff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 + 1.1. What is the second biggest value in 6, -0.5, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -2*z - 15*k + 144, -z + 3*k + 86 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 432771 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3240)\/(-252) + -14 + (-1)\/(-7) - 45\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -4, -2, 0.2, -1\/5411, 26, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 s when four letters picked without replacement from {p: 5, s: 9}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (261\/1595)\/(9\/(-15)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 31 = -3*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by 12433.\nAnswer: -101\/12433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -107, -156, -203, -248, -291, -332?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g**(-9)*(g**(-1))**(-19))**(-48) assuming g is positive.\nAnswer: g**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7887990 divided by -6.\nAnswer: 1314665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -883 or -853?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068 bigger than -5330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + 0.34. Which is the nearest to -1? (a) w (b) -1 (c) 11.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g - 11 + 29. Solve -n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -812 - -813. Let w(c) = -c + 6. Let m(f) = -2*f + 13. Let l(x) = -6*m(x) + 13*w(x). Let r(g) = -5*g - 1. Determine h*r(p) - 6*l(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636876 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -12, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**3 + a**2 + 11*a**2 + a**2 - 22*a**2 - 1 to the form o*a + j + c*a**2 + f*a**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -985.\nAnswer: -2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90199?\nAnswer: 90199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -82. Let k be 9 - c\/(-1)*2\/4. What is the greatest common factor of 70 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831153937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537580761.\nAnswer: 1537580761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 8. Let i be w(-8). Suppose i = -2*y + 3*y - 5. Let j = 757\/7 + -108. What is the nearest to 0.1 in -5, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1574 and 14166.\nAnswer: 14166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*x - 94*x - 92*x - 42. Calculate the lowest common multiple of x and 489.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -40. Let z be -1 - ((-54)\/(-14))\/(-3). What is the closest to z in x, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121.188 + 0.188. Let a = q + 121.000077. Round a to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/24 - f**3\/2 + 6*f**2. Calculate d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5759\/78 + 1\/6. Let c = 77 - l. Suppose -o - 3*o - 258 = -5*a, -c*a + o + 159 = 0. What is the greatest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 + 12. Sort l, -1\/3, -5 in increasing order.\nAnswer: -5, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + 0.22. Let d = -0.05 + 0.09. Let l = d + -0.04. What is the third biggest value in l, 0.1, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/3 - -2)\/2. Suppose 7*f - 11*f + 24 = j. What is the remainder when 11 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4322161*f**2 - 1 + 4321016*f**2 + 1 + 43*f**3 wrt f.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsllsllydggylsl. Give prob of picking 1 g, 2 d, and 1 y.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 1, 5, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355708 divided by 2?\nAnswer: 1177854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2 + 4*z - 2. Let w(f) = 177*f + 0 + 0 + 13*f**2 - 2 - 2 - 170*f. Calculate 7*b(k) - 4*w(k).\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3738288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10230\/(-55242)*255\/(-5)*(-1)\/5?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332309843.\nAnswer: 332309843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlnzlzgzznnzzznlg. Give prob of sequence nz.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1491*b**3 + 22*b - 1 - 22*b + 857*b**3 to i*b + s*b**3 + y + c*b**2 and give s.\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 30 = 4*h - 14, 4 = -h + 4*j. Let l be (h\/(-25))\/((-5)\/25). Determine x so that -l*x - 3\/5*x**2 + 9\/5*x**3 + 4\/5 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420046 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u**2 + 21*u**2 + 9*u**2 to the form h*u + c*u**2 + d and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/4, 4, 2\/5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4348, -9158, -14444, -20224, -26516, -33338, -40708, -48644?\nAnswer: -57164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 587368068*r**2\/5 - 28750103942171052*r\/5.\nAnswer: -3*r*(r - 97894678)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1098)\/(-2379))\/((-85)\/(-65))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -24. Let q = d - -4. Let p be -1*(q\/3 - 3). Solve -2*x + 3*i + 3 = 0, -2*i + 5*i = p*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 404 - 355. Calculate the remainder when t is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156\/28319 + 110847981\/3794746. Let j = -950505\/1326466 - -3\/19798. Let k = r + j. Find the common denominator of k and -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*k**4 - 200*k**2 + 143570*k wrt k.\nAnswer: -540*k**2 - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417566380?\nAnswer: 2, 5, 7, 11, 23, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:38 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -8) + 8 - 1. Let z be (f\/20)\/(5\/40). Solve 0*l = -4*m - 2*l - 12, z*m + l = -8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d17296c - 1?\nAnswer: -d17296d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 11*c - 3. Give j(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 875.188 millilitres?\nAnswer: 0.875188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n - n + 90. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.912 and -114793481.\nAnswer: -114793481.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 3*v - 3*v - 5. Let s(g) = -2*g**3 + 35*g**2 - 58*g + 175. Let a be s(16). What is r(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 4, z: 7}. Give prob of sequence znn.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3\/2 - 13485*f**2\/2 + 26988*f - 26994 = 0.\nAnswer: -4499, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 833427457 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/7*(-2506)\/(-537).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/((-139)\/(-1251)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/5, 20, 0.4, -16, -1\/38 in decreasing order.\nAnswer: 20, 1, 0.4, -1\/38, -1\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/30*w**6 - 1\/6*w**4 + 0*w**3 + 0*w**5 + 0 + 2*w**2 + 0*w. What is the second derivative of r(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*u = -252*u - 258*u - 93600 for u.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.60632l to millilitres.\nAnswer: 50606.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 114*v**2 + 3219*v + 256. Determine y(62).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 1055 + 1055.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**6\/33 + 6*b**5\/11 - 37*b**4\/11 + 20*b**3\/3 + 75*b**2\/11 - 250*b\/11 + 11. Find u, given that m(u) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450023344 (base 6) to base 12.\nAnswer: -2877b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457835 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**3 + t**3 + 3*t**3 + (0*t**3 - 4*t**3 + 3*t**3)*(-5 + 2 + 4))*(-9*t + 50 - 50) as r*t**2 + z*t + w*t**3 + l + y*t**4 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.8 + -60.2. Let s = b - -84. Put s, -0.3, 1, -1 in descending order.\nAnswer: s, 1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1155 or 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b = 78*b - 27. Let n(y) = y. Let j(l) = -12*l**2 - 3*l. Calculate b*n(h) + j(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3772892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -29, 4, 1\/51, 2\/3?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-750)\/12*4\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 10 = -m + 5*k, 3*m = -2*k + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqg. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 1.559.\nAnswer: -9.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 2 (c) -4940 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -87*w**8\/7 - 2*w**6\/15 + 309*w**4\/4 + w**3\/6 - 4916*w. What is the third derivative of r(g) wrt g?\nAnswer: -83520*g**3 - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991508 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -76*i - 7917. Calculate the smallest common multiple of c(-106) and 4.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145050512 (base 6) in base 4?\nAnswer: 23212001030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12))**35 assuming b is positive.\nAnswer: b**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 1896.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26287 and 1355.\nAnswer: 131435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 205, 293, 383, 475, 569, 665?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*z**2 + 81*z - 2 - 83*z + 3 to o*z + d + t*z**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 42 = 2*j, 3*z + 5*j + 0*j = -10. Let k = -3692 - -22003\/6. Calculate the common denominator of (-15)\/40*(-88)\/z and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 90183 and -0.03835.\nAnswer: 90182.96165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 0.3 (c) -2\/7 (d) -10.3599 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246*b*r**3 + 33*b*r**2 - 15*b - 3*r**3 wrt r?\nAnswer: 1476*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -37*l - 22. Let h(v) = -55*v - 34. Let m(z) = -1. Let a(k) = -h(k) + m(k). Let s(j) = -5*a(j) - 7*b(j). Is s(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0 - 78*w + 8 - 24*w. Let p be c(9). What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244*j**3\/5 - 528*j**2\/5 - 49788*j\/5 + 312984\/5.\nAnswer: 4*(j - 9)**2*(61*j + 966)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x, 2*o + 5*x + 16 = 0. Is o not equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2916 = 63*z + 99*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Solve -2*o - o + 2*g = f, -5*o - 4*g + 30 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 4*y, 0 = -5*r + 4*y - 32. Suppose 0 = p - 0*p - 4*x - 17, 2*p = 3*x + 14. Let w = -4.3 - -4.7. What is the closest to p in w, 4, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67926865872929 and 2.\nAnswer: -67926865872927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = 21*j. Sort j, -5, -8, -1 in descending order.\nAnswer: j, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 176325513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let u = 2 + 5.7. Let i = u - 8.2. Put o, 11, 1\/2, i in descending order.\nAnswer: 11, o, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.838574ng?\nAnswer: 0.008838574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -81, 0, -44614, -4 in descending order.\nAnswer: 5, 0, -1, -4, -81, -44614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251686220 by -5.\nAnswer: -50337244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + 7*k**5\/60 - k**3\/6 - 9*k**2 + 18. Give u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 3*c + 3. Let l be y(3). Suppose i + 33 = 2*t, 3*t + 5*i - l - 14 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((3*sqrt(2178) - sqrt(2178)) + sqrt(2178)))\/(-1*(sqrt(480) - sqrt(30))\/sqrt(5)))**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 + 2. Let q = 0 + 1. Let d be (2\/3)\/(q\/(-9)). Let j(p) = -4*p**2 + p + 2. Let c(b) = d*j(b) + 5*w(b). Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 13 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + 4. Let b(a) be the first derivative of -3*a**2 + 2*a - 15. Is b(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) - -6*(sqrt(76) + (1*sqrt(76) - sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76)))))\/(-2*((sqrt(196) - sqrt(4)) + sqrt(4))).\nAnswer: -sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 2. Let l be v(2). Suppose t = y - 18, 5*t = 16 + 9. Suppose 11*g - y*g = -60. Solve 0 = g*k - 2*j + 1, k = -l*j + j - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazugpgszgasssszz. What is prob of sequence zs?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 10. Suppose k + 23 = 4*o, 4*o = 2*k - 4*k + 38. Let g be j(o). Put g, 5, -5 in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49076540 divided by 10?\nAnswer: 4907654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/200 and 83\/26040.\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9505801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d*d)**(-7\/5)\/(d**1\/d*d**2))\/((d**(-5)*d**(-2))\/(d**(-5)*d\/(d*d**3*d))) assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 37, 188, 385, 628?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-312)*(-8)\/10*30\/38000*-10?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 + (-4)\/(-10). What is the second derivative of p**3 + o*p + 0*p - p wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-8)\/(56\/(-39))). Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2927383, 2927384, 2927385, 2927386?\n\"Answer: d + 2927382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + 298\/14. Let u(l) = l**3 - 11*l**2 - l + 13. Let t be u(11). Solve -2*w + 7*w = -4*b - p, -3*b = t*w + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*s - 45*s + 152*s)*(6 + 3*s**2 + 3*s**2 - 7) to the form c*s + q + m*s**3 + b*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3684 + 4?\nAnswer: -3680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22681 + 22680.999990255. What is m rounded to seven dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:20 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)\/r*r*r**(-2\/31)*((r\/((r\/r**(2\/13))\/r*r)*r)\/r)**(2\/23) assuming r is positive.\nAnswer: r**(-83895\/9269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2944875, 2944610, 2943889, 2942484, 2940167, 2936710, 2931885?\n\"Answer: -38*g**3 + g + 2944912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5877119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 3, c: 2, j: 8, v: 2, o: 1}. Give prob of picking 1 c and 3 u.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7166.943303 and -0.10712?\nAnswer: 7166.836183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.962289 - 5.1722877. Let s = -52.21 + 52. Let t = s - w. Round t to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000110 - -11101001011?\nAnswer: 1111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-6))\/(3\/(-9)). Calculate the greatest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 4*j**2 + j + 1. Let z(w) = w**3 - w**2. Let u(y) = -n(y) + 2*z(y). Let v be u(-2). Is -2\/15 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, 0, 4\/7, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 462. Let p(y) = -y. What is b(p(h))?\nAnswer: -2*h - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -125*l + 1003. Calculate x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25759 or -25761?\nAnswer: -25759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -72*x**3 + 3*x + 3. Let v(w) = 73*w**3 - 2*w - 2. Determine 2*k(y) + 3*v(y).\nAnswer: 75*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2484.27761*-4.\nAnswer: -9937.11044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w**4 - 12*w**3 + 13*w**4 - 36*w**4 - 4*w**4 - 2*w**4 + 3*w**4 + (-w**2 + w**2 + 2*w**2)*(-w**2 - 2*w**2 + w**2).\nAnswer: -9*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z + 3. Suppose -x - 4*h + 10 = 0, -z*x + 0*h + 115 = -5*h. Suppose n - x = -n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 108 - 108)*(2 + 0 - 5) + (-4 + 4 + 3)*(3*t - 3*t + 5*t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03018? (a) -3 (b) -7 (c) -4 (d) 0 (e) -2\/9 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 40*d**3 + 84*d**2 + 16*d - 112.\nAnswer: 4*(d - 7)*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 16097376*j - 48292092.\nAnswer: -4*(j + 3)*(j + 4024341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**18\/a**(5\/2)*((a\/(a\/(a*a**(-3\/4))))\/a)**23 assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5193 = 16*o - 5273 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {d: 5, y: 6, s: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 224158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 1 - (1 + -2). Let h = i + 10. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -0.07024468.\nAnswer: -0.0091318084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 3*c + 14 - 9*c - c**2 + 0. Let v be m(-10). Let z be 240\/84*v\/4. What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 12. What is the tens digit of 194\/7 + z\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225, -436, -631, -804, -949, -1060, -1131, -1156?\n\"Answer: b**3 + 2*b**2 - 224*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1708580\/79 - 21628. Calculate the common denominator of n and 18\/11.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*t = 243*t. Suppose -5*l + 2*p + 295 = t, 8*l - 3*l + 4*p - 325 = 0. Let y = 4 + 28. Calculate the remainder when l is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oda when three letters picked without replacement from {o: 1, s: 1, d: 2, m: 2, a: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.4. Let y be (6\/(-44))\/(30\/(-40)). Suppose i + 4*v = -3*i + 12, 0 = -3*i + 3*v + 15. What is the second smallest value in i, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739.088 days in hours?\nAnswer: 65738.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 i when three letters picked without replacement from {d: 4, z: 11, k: 2, i: 2}.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 12 + 0*u + 2*u + 1362*u**2 - 12 to the form w*u + q*u**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24700 and 6760.\nAnswer: 642200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 4*a - 23, 0 = 3*s + 4*a - 1. Suppose 4*h - 22 = 2. Solve 3*q = h, -7*d - 5*q = -s*d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 2250679096.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10070 - 4?\nAnswer: -10074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841 + 895 = 144*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 3*t**2 + 2 + 44*t.\nAnswer: 3*t**2 + 44*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*-1*sqrt(117))**2 + 0.\nAnswer: 36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 - 7*a - 8. Let q be f(8). Suppose q = 507*r - 508*r - 6. Let s(d) = 3*d - 6*d + 4 + 4*d. Calculate s(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7238626 meters?\nAnswer: 723862600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/644480 and 47\/124.\nAnswer: 19978880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1614972628 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -1) + -10 + -3 + (-5 - -4) + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*70\/(-21). Suppose 61 = -g*a + 6*d - d, 4*d - 47 = 3*a. Let r(b) = b**2 + 9*b + 2. Let h be r(a). Solve 0 = -4*n + h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219438048 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.93666 meters to kilometers.\nAnswer: 0.06593666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*r - 26 = 0, -20*w + 19*w - 19 = 4*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9\/2, 0.18, 5, 791 in descending order.\nAnswer: 791, 5, 2, 0.18, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33.2, 1871, 0.03?\nAnswer: 1871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -100, -27, 210, 665, 1392, 2445?\n\"Answer: 9*p**3 + p**2 - 103*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 14 + -14 + -12 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2043*s**2 + 2138*s - 6. Let j(g) = 3*g**2 - 4*g + 1. Let r(q) = 6*j(q) + n(q). What is the second derivative of r(t) wrt t?\nAnswer: -4050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, 4322 - 22759 = -4*j - 5*h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 33. Suppose -2 = x*y + 10. Is 4 a factor of ((-16)\/(-6) - y)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 4. Let a be s(2). Suppose -6 = a*g + 48. Calculate the remainder when 158 is divided by 160\/6*(-5)\/(30\/g).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjj when three letters picked without replacement from {g: 3, j: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 459123739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*p - p = 16, 5*p = 5*b + 15. Suppose 3*x = -2*z + 17, -b*z + 3*x - 3 = -2. Solve 6 = -z*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 < 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -57*b - 13. Let w be h(3). What is the tens digit of (-32)\/18 - (-8)\/(-36) - w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((-40)\/(-12) - 3). Calculate the remainder when (-52 - 0)*w\/(-12) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 7*l**2 + 5*l + 33. Let b(n) = -n**3 - 3*n**2 - 2*n - 16. Let d(o) = -7*b(o) - 3*y(o). Let s = 1 - 1. Determine d(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 7. Let t(u) be the third derivative of -3*u**4\/8 + 5*u**3\/2 - u**2. Suppose -33 = -n + 6. Suppose -2*l = -5*l - n. Give l*a(y) - 6*t(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u + 2. Calculate m(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 1. Let k = -2 - 2. Let p be (-24)\/(-16)*k\/6. Calculate l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = 5*u, 2*t + 11 - 6 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 398441531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 18. Let h(a) = -a**3 - 21*a**2 - 18*a + 24. Let j be h(-20). Let o be d(j). Solve 9 = -t + o*q, 2*q = -q + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/379 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/7 - 38*g**4\/7 = 0.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1282, -5981, -17520, -39319, -74798?\nAnswer: -127377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 829*v - v**2 - 825*v - 8*v**2. Let z(m) = -m**2 + m. Let r(o) = o**2 - 3*o + 1. Let w be r(3). Determine w*l(n) - 4*z(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -25, -6, 3, 0 in decreasing order.\nAnswer: 13, 3, 0, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 69329 divided by 1\nAnswer: 69329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 31 = t, 3*t + 8 = 5*l - 22. What is the units digit of l\/(-15)*-35*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 0.45, 0.1, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 + 2\/7*l**5 + 0*l + 0*l**4 + 0 - 2\/7*l**3.\nAnswer: 2*l**3*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200222120100 + -10?\nAnswer: 2200222120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -133*t - 1204. What is y(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/17178590 and 47\/648702?\nAnswer: 463821930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4895, 3577, 1379, -1699, -5657, -10495?\n\"Answer: -440*h**2 + 2*h + 5333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211437 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*v - 2*o + 6, 0 = -3*v - 3*o + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(-1*sqrt(192)))\/(sqrt(15)\/(sqrt(5) + sqrt(15)\/sqrt(3))*-1).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -2514.\nAnswer: 52794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 3*z**2. Let s(l) = -7*l**3 - 13*l**2 - l. Give 9*a(q) + 2*s(q).\nAnswer: 4*q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22033210001 - -2?\nAnswer: -22033204444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2)\/(sqrt(256)*-3 - sqrt(256)) - (sqrt(18) + -6*sqrt(54)\/sqrt(3))\/(sqrt(6) + sqrt(1176) + sqrt(6)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**7\/1680 + n**6\/720 - n**3\/2 + n. Let x(l) be the second derivative of v(l). Find a, given that x(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21 and 643.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5447 - 5444. Let t(b) be the first derivative of 0*b**q - 11 + 0*b**2 - 7*b + 0*b**4 - 6\/5*b**5. What is the first derivative of t(u) wrt u?\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -19*o - 7. Determine b(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.33ml?\nAnswer: 0.07833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 9:29 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 - 16*w**2\/5 + 7*w - 18\/5.\nAnswer: -(w - 1)**2*(w + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888 is divided by 572.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24046?\nAnswer: 2, 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.6 - 11. Let m = -1332103.400018 + 1332105. Let l = m - y. What is l rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16030 + 2?\nAnswer: 16032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626590983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1574783516 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538*f**3 - f**2 - 25*f - 3?\nAnswer: 3228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 6239?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 14 + 6. Let d = -9 + 2. Let o = 0 - d. Calculate the remainder when o is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.4, -2662?\nAnswer: -2662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 8. What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -5*p**4\/4 - 2*p**3\/3 + p + 158. Let a(s) = s**3 + s**2 + 4*s - 2. Let m be a(0). Give n(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 3779*w + 3767*w - 7546*w. Let l(h) = -1853*h. Determine z(l(r)).\nAnswer: 10300827*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14976089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1155 and 16846368?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from hfdddudpddpdqdpu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) -2 (d) -51 (e) 0.4 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*o - 25 = 0, -2*w - 3*w + o = -30. Suppose w*r - 40 = r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/8*6 + (-4)\/(-16). Let c(f) = 13*f**2 - 2. Let g(m) = 6*m**2 - 1. Let d(n) = -2*c(n) + 5*g(n). Determine d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 plus -3.5804327614?\nAnswer: -4.0504327614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -3\/2, -0.2, 17, -2\/6519?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 33766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1321)\/15852 - ((-537)\/36)\/(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d - 3*w, -5*w + 15 = 5*d - w. Suppose d - 38 = -5*j. Let f(g) = 4*g**2 - 12*g**2 + 6*g**2 + j - 8*g + 3*g**2. Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 3*g - 14, 2*i = -3*g + 14. Let d be (-1)\/(2*(-3)\/(12\/5)). Let m be -1*(-1)\/1*1. What is the nearest to m in d, i, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443995120 divided by 34?\nAnswer: 13058680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2200 divide 166076289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -12 + 17 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 2*n - 1. Let x(s) = s**3 - 3*s**2 - 4*s - 1. Let f be x(4). Let d be k(f). Let q = -5 + d. Solve q = -r - 3*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-30)*-2*-15. Solve -2*z + 2*h - 8 = -0*h, -7 = 2*z - i*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x + 5. Let c be m(-7). Let i be (c\/(-3))\/(5\/75). Solve -2*g - i = g - 5*t, 0 = -2*t + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 65*h**4\/12 - 38*h**3 + 133*h**2. Differentiate c(a) with respect to a.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 1\/4 (b) -54\/7 (c) -0.5 (d) 1.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185574*z**2 - 11*z + 185574*z**2 + z**3 - 3*z.\nAnswer: z**3 - 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08311 and 9.\nAnswer: 0.74799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20192*j - 20847 = 39729 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 6904*l. Let k(m) = -100 + 47 + 16 + 37 - 2*m. Calculate k(q(p)).\nAnswer: 2*p**2 - 13808*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 13*o**2 - 29*o + 309. What is j(14)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33377 - 607 = -6*z. Factor 105*p**2 - 6*p**3 + 37211 + 3675*p + 7*p**3 + z.\nAnswer: (p + 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7514 + -7513. Put 0, t, -28, 5, -2 in descending order.\nAnswer: 5, t, 0, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 58666.09 millimeters?\nAnswer: 58666090","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1320*p**4 - 73?\nAnswer: -5280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 284? (a) -1 (b) 1\/3 (c) -3\/5 (d) 18\/7 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-g - g + g)*(89*g**2 + 2*g**3 - 89*g**2 + (3*g**2 + 2 - 2)*(-g + 2*g - 3*g)) as w*g**2 + a*g**4 + s + t*g + z*g**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u + 1. Let h be x(0). Suppose 5*d - p = -11, -3*p + 0 + h = d. Sort d, 2, 6.\nAnswer: d, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = t - 8648, 0 = -2*t - h + 5*h + 17216. Does 40 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/120 + y**5\/60 + y**3\/6 - 8*y**2. Let g(q) = 7*q**3 + 6*q**2 + 4. Let b = 2 - 1. Determine b*g(f) - 6*c(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 + 89*g + 1331. Calculate r(-13).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*33.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/3)\/(1*12\/6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/48 and (-586)\/360 + 1 - 98\/441?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -745095.1718309 from 0.045.\nAnswer: 745095.2168309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 61*a**2 + 26*a - 83. Let g(m) = -3*m**3 + 93*m**2 + 38*m - 124. Let n(k) = -5*g(k) + 8*v(k). Calculate n(24).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44522.2km to micrometers.\nAnswer: 44522200000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3684*c + 158426. Determine q(-43).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-52)\/(-1118) + (-20383)\/448404).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t + 82. Let k be o(26). Suppose -2*y = -2*q - k, 0 = -4*y - 2*q + 539 + 271. List the prime factors of y.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513680253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722409?\nAnswer: 3, 113, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3521910 divided by 2170.\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in 0.2, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -5*x, -f + 3*x - 1 = -0. Which is the smallest value? (a) f (b) -0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (6*(sqrt(153) - sqrt(153)*-2) + sqrt(153)) - sqrt(153) - sqrt(153))\/(sqrt(9) + (sqrt(108)*-1)\/sqrt(12) + sqrt(9))*-3.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b - 53. Give n(7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/411024890 and 74\/123307467.\nAnswer: 1233074670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41949 take away 386?\nAnswer: -385.58051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 0.76. Round m to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 20) + (3 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-seven fifths of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 4, -3, 38.\nAnswer: -3, 0, 4, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysvvsyssv. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 8*j + 384. Let x(h) = 5*h**2 - h + 4. Let v(p) = -6*p**2 - p - 1. Let l(o) = o**2 + o - 1. Let m(n) = 2*l(n) + v(n). What is j*m(b) - 3*x(b)?\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 397453976*j**4 - 794762390 wrt j.\nAnswer: 1589815904*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 - 2. Let k(a) be the first derivative of -a**3\/3 + 1. Determine r(k(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5734 and 91\/34404.\nAnswer: 34404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -704. Suppose c = 20*w - 8*w. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 50.43898 nanometers?\nAnswer: 0.00000005043898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -5*n - 5*c, -6*n = -n - 3*c + 270. Let f = n + 62. Let d = f + -2. What is the highest common factor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025991537 to four dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccyycccycccyc. Give prob of picking 3 y and 1 c.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68797\/9 + -7644. Let r(k) be the second derivative of 4\/9*k**3 - b*k**2 - 2\/3*k**4 - 27*k + 0. Solve r(s) = 0 for s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/20 - 11*y**4\/12 + 5*y**3\/2 + 21*y**2 + 4*y - 13. Let q be j(-12). Solve q*t = t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -460 <= -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 13*s**2 - s - 16. Let k be v(-11). Let a = 251 + k. Calculate the least common multiple of 22 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/18 - 868\/(-24). Suppose -114 - y = -5*j. Let x(l) = -l + 1. Calculate the remainder when j is divided by x(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1738046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 567583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 11:55 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1740)\/1044)\/((-5)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -7*p. Which is the biggest value? (a) 0.6 (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/16421 or -1\/2?\nAnswer: -1\/16421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2762 + 4566*v + 2762.\nAnswer: 4566*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 12*t**4 - t**3\/3 - t**2 - 331*t. Is 16 a factor of x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1596 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96465, -96464, -96463?\n\"Answer: x - 96466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2005 divide 69457210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14053 = -2*x, -8692 + 43839 = 5*x + 2*v. What is the greatest common factor of 99 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*c + 2616 - 1318 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 49 (b) -2\/9 (c) -0.004 (d) 0.5 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g - 3. Let s(w) = 2*w - 4. Let t be s(4). Which is the closest to -0.1? (a) t (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.69 and 0.3?\nAnswer: 2.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 64, -0.1, 2\/3, 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-17 - -19 - 15).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 2. Let y = 1156 + -1155. Let o(k) = -k - 1. Determine y*p(s) - o(s).\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = -36. Differentiate 26*t + y*t**2 + 0*t**2 + 11 - 26*t with respect to t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353996 is divided by 44190.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.4878+-11.3664\nAnswer: -13.8542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:40 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let t(p) be the second derivative of -p**7\/630 - p**4\/12 - p**3\/3 - 2*p + 12. Let g(q) be the third derivative of t(q). Give h(g(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -4, 55, -1, -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6528 and 79\/57120?\nAnswer: 228480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83648 - 55235. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + 3. Suppose 3 = -3*v + 3*n, n - 5*n = 5*v - i. What is the third smallest value in v, 0, 1\/3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-2\/47)))\/m)\/m*m)**(-5\/2) assuming m is positive.\nAnswer: m**(225\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.316963km to nanometers.\nAnswer: 3316963000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - 4*p + 2. Let f(k) = 3 + 6*k - 2 - 8*k - 2*k + 4*k**2. Let l(d) = 4*f(d) - 3*j(d). What is l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327390.2 weeks in microseconds?\nAnswer: 198005592960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:35 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let v be 3\/(-6)*5*16\/10. Let m(f) = 91*f + 39. Let l(s) = -9*s - 4. Let z(u) = v*m(u) - 39*l(u). Calculate z(k(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 - 9*i. What is the units digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -5. Suppose -97171 = 804*w + 112673. Sort -4, s, w in decreasing order.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6 + 2*w**2 - 3*w**2 - 4*w + 3*w. Let x = 9 + -9. Suppose x = 6*t - 2*t. What is p(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -78, -72, -64?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 9*m - 10. Let v(p) = -p**2 - 23*p - 35. Let o be (4\/(-1) - -2)\/(-2) + -22. Let l be v(o). Determine s(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 87626994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 1819*c - 14642. Determine w(-8).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*h - 1270997 = 86*h + 135793. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 16 = -82. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.142 and -1?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 25 = 8*s, 9*s - 8*s = 2*k - 33 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32684\/204 + (-2)\/(-3). Let i(m) = -7*m**2 - 4*m - 6. Let t be i(-5). Let l = c + t. Which is smaller: -2\/7 or l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:21 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16*q - 96. Let n be w(-7). Solve -n + 26 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 1.4. What is the closest to -1 in 1\/3, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2*(-2)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23896 + 23?\nAnswer: 238b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 191745\nAnswer: -1\/191745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000024242 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**3\/3 + 1. Let p(r) be the second derivative of 0 - 2*r + 0*r**2 - 1\/3*r**3. What is p(s(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - -58. Let a = -106.8 + d. Let u = a + 33. Round u to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + f - 3*f = 24, 0 = -2*o + 3*f + 11. Suppose -2*p = 5*w - 10, 5*w = 3*p - p + o. Solve -3*s - 2*s = p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6748771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let l(b) = 4*b**2 + 3. Give l(j(q)).\nAnswer: 4*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(128) + 0)**2 - (sqrt(128) - (-4*(1 + sqrt(128)) + sqrt(128))**2)) + -2 - -3*(3*sqrt(128)*-3 - sqrt(128))**2*-6.\nAnswer: -229106 + 184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1347?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*n**3 + 57*n**3 - 25*n**3 + (3*n - 2*n - 3*n)*(2*n**2 - 3*n**2 + 0*n**2) + 3*n**3 + 2*n**3 - 3*n**3)*(4*n - 2*n + 0*n).\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -180. Is x >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306832918 divided by 2.\nAnswer: 153416459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 496 - 487. Solve 7*a + q = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 68 = -9*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 divided by -126?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -278*s**4 - 2*s**3 - 2*s - 16402 wrt s.\nAnswer: -1112*s**3 - 6*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 - f**5\/30 - f**4\/12 - 25*f**2. Let l(x) = x**3 + x**2 + x. What is -2*l(s) - t(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6603457.\nAnswer: 7, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163081 + -163025. Let o = 210 + -352. Let j = o - -212. Calculate the highest common divisor of j and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 11 + 3 - 7. What is the remainder when p(0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.3 (b) 1\/4 (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -54\/11 (c) -1\/13 (d) -3841 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*l**2*s**3 - 26*l**2*s**2 + 5091*s**3 wrt l.\nAnswer: 14*l*s**3 - 52*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 1\/130, 360, 2\/11, 2, -5.\nAnswer: -5, 0, 1\/130, 2\/11, 2, 13, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 7 - 127. Calculate the highest common factor of m and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.1, -74, 1152?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 575 - 583. Let o = -2 + 3. Let p be (-21)\/f + -4 + o. Which is the smallest value? (a) 1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -114?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - -1) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 106*x**2. Let u(p) = -p**2 - p - 85. Calculate u(n(m)).\nAnswer: -11236*m**4 - 106*m**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -33 + -83 + -48 - -31?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4277514 and 248882?\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1010011110111101110001 (base 2) to base 7\nAnswer: -32234313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/4 - 561*i\/4 - 4221\/2 = 0. What is i?\nAnswer: -14, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 270099.\nAnswer: -16205.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1739 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -62 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 10*j**2 + 22*j + 7. Determine x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h - 4. Let n be r(12). Which is the nearest to n? (a) -4 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187055361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/260 and -109\/9400.\nAnswer: 122200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:39 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2303 + 4380. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 7*w**2 + 54*w**2.\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 6712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 576 = 27*l - 145*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/3 (c) -14\/3 (d) 0 (e) 0.3 (f) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 15 - 3, 3*p + 4*a = 255. Suppose -5*n + 10*n - p = -2*g, 5*g = 2*n + 130. Calculate the remainder when g is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b**2 - 2*b. Let n(z) = -35*z. Give n(j(w)).\nAnswer: 560*w**2 + 70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.7 + 1.3. Let w = n - 12. Which is the biggest value? (a) 0.2 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 1.4. Let l = -0.13 - -0.11. Sort l, a, 0.3 in descending order.\nAnswer: 0.3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32680000 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 56*i**2 - 37 + 18*i**2 + 20*i**2 + 19*i**2. Let r be z(11). Let t be (0 - 1)*0*1. Solve t = 4*u + r + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7855, 15711, 23567, 31423, 39279, 47135?\n\"Answer: 7856*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -11 + -4 + 2 + 39. Which is the third biggest value? (a) v (b) 3 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 73 + 88 = 0. Solve h - 7 = -l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/(-72)*-2 + -2 and -1*(-390)\/(-36) + 10 + -14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:24 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 57090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -270*h + 183. Let d(m) = -33*m + 23. What is 33*d(l) - 4*o(l)?\nAnswer: -9*l + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))\/(t\/t**(-4))*t**(-1\/9)*t*t*t**(-3) assuming t is positive.\nAnswer: t**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/7, 1\/46, 2\/65, -3 in decreasing order.\nAnswer: 0.3, 2\/65, 1\/46, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -5)*(-10)\/2. Let z = -3 + i. Factor 6*t**3 - 2 - 5\/2*t**z - 6*t + 9\/2*t**4.\nAnswer: (t - 1)*(t + 1)*(3*t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ccb6 (base 13) in base 7?\nAnswer: -146132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5864.9994617 - -5865. Round u to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243359557 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 24, 11, -4, -21?\n\"Answer: -c**2 - 8*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -80*u - 8408. Determine k(-107).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from fffffffbffffffffffb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32305621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5152 by -5152.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 125.\nAnswer: -3, -1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*c**2 + 55\/2*c**3 + 13*c**4 + 0*c + 0 - 1\/2*c**5.\nAnswer: -c**2*(c - 28)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/34)\/((-2)\/8*7677\/(-2559))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:24 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 180 - 20 = 5*y, -3*p = -4*y + 114. Calculate the highest common factor of y and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422501640 less than -660.5?\nAnswer: 3422500979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-5) + (-14)\/(-10). Suppose -3*r = -c - 205, r - 2*c - 61 = d*c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10607 is divided by 9983?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -410 times 3\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 31. Determine u(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.802 - 0.098. Let q = 10 + w. Round q to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (371\/(124285\/(-804)))\/(2 - (1 - (-18)\/70)).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20440.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*z + 3*o - 212, 2*z = 2*o + 126. Factor 2*f**2 - 125 - z*f - 8*f**2 + 95.\nAnswer: -3*(f + 10)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c - 4*b, -3*c - 3*b = 4 - 1. Put 6, c, -4 in descending order.\nAnswer: 6, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1201 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -12 - 14. Let o = -2 + 3. Let a(m) = 131*m - 1. Let l be a(o). Calculate the greatest common factor of i and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -15 (c) 2753 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 20*k - 78 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**5 + 2*r**5 + 2*r**5)*(0 - 1 + 3 - 4 + 5 + 1 + (2 + 2 - 3)*(2 - 3 + 2)).\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (13 - 2 - (-40 + 44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 12. Let j be f(-9). Find the second derivative of 19*s + 4*s**j - 18*s - 15*s wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 1550 + c - 1935)*(c - c - 2*c)*(c - 5*c + c).\nAnswer: 6*c**3 - 2310*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-6) + -3 + -3 - (-295060)\/30. What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 15) to base 16.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-6)\/(-3))\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**3\/21 - 2*m**2\/7 - 2*m\/7 + 12. Factor p(a).\nAnswer: -2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49401*z**2 + 97099*z**2 - 54075*z**2 + 160526*z**2.\nAnswer: 252951*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2528 and 15\/25117184?\nAnswer: 1984257536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1109342b - -4?\nAnswer: -11093427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 2599 = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.7. Let l = -422.1 - -480. Let t = l + -58. What is the closest to -2 in 6, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (-31 - -4) + -5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 16*u + 58)*(4 - 1 - 2).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -600 - -624. Suppose -6*y - 3*c + l = -5*y, -5*y = -3*c - 30. Solve 0*h = -3*s - h - y, -2*h = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + 1ef4?\nAnswer: 1f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 2, e: 5, n: 1}. Give prob of picking 2 v and 1 e.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 2143?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.1, -8.\nAnswer: -9, -8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.296 take away -0.09?\nAnswer: 9.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 - 300726*d + 7536343923 = 0. What is d?\nAnswer: 50121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 32. Suppose -y - 17 - 6 = 4*f, 2*y - 14 = 2*f. Let d be a(f). Suppose -d*g = g - 4*o - 35, -5*g - o = -10. Solve -g = u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53292.\nAnswer: 2, 3, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a**3*p**2 - 4227*a**2*p**3 - 9*a*p**3 + 6337*p**2 wrt a.\nAnswer: 84*a*p**2 - 8454*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -127. Sort 32, 3, r, -2 in ascending order.\nAnswer: -2, r, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -63*2*(-4)\/56. Let v(s) = -3*s**3 + 28*s**2 - 8*s + 11. Let m be v(t). What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*k - 4452 = 85*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(-6\/29)\/(b**(-37)*b*b\/b**(22\/9)))**17 assuming b is positive.\nAnswer: b**(166753\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x = 32*x. Solve x = -3*u + 3 + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*q, 0 = -261*q + 132*q + 131*q + 3 - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 8. Let x be p(12). Suppose -5*j + 3*j - x = 0. Suppose -w + 5*y = 1, 2*w + 1 + 1 = y. Is w bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, -0.05, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*l**2 - 78 + 78.\nAnswer: 586*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 + p - 4. Let i(h) = 4*h**3 + 7*h**2 + 2*h - 13. Let c = -13 + 9. Let l(a) = c*i(a) + 14*w(a). What is x in l(x) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -452 + 261. Let o = n - -864. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-56592)\/4608*(-4)\/90 and 49\/360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1034\/9 - 115. What is the nearest to 1 in i, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/148 (b) 1 (c) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, -141, 3, 2\/879?\nAnswer: 2\/879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242776 divided by 12.\nAnswer: -60694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = g - 2*q, -2*g - 9 = -3*g - 3*q. Let j = -7 - g. Let h = 149\/4 - 485\/12. Find the common denominator of h and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 23 + 27 + -79\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -162, -147, -116, -63, 18, 133, 288?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.5 (b) -6\/11 (c) -0.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from znbnnmi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*l**4 - 31*l**2 - 78 wrt l.\nAnswer: -68*l**3 - 62*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467359, 467457, 467555?\nAnswer: 467653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f. Suppose 0 = 5*c - c + 5*w + 15, 2*c + 4*w = 0. Let o(t) = 22*t. Let j(a) = c*n(a) + 3*o(a). Let i(d) = 2*d. Determine i(j(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let u(r) = 539 - 1073 + 714*r + 775*r + 531 - 26*r. What is u(l(w))?\nAnswer: -4389*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3854435 is divided by 8780?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 63 = 4*d. Solve -2*u + d*w = 4*w + 9, 0 = -3*u + 3*w - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keknyy. Give prob of picking 1 n and 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + y**2 - 6*y**2 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**3*v**2 + 3*u**3*v - 15*u**3 + 253*u**2*v**2 - 50*u*v - 5*v**2 - v wrt v.\nAnswer: 14*u**3 + 506*u**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose -s*z + 170 = z. Let c = -21 + z. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 12. Let i be (2\/4)\/((-1)\/s). Let n(f) = -f**2 - 6*f - 3. Let z be n(i). Solve -u + z*u = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40015, -40064, -40115, -40168?\nAnswer: -40223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 5, u: 1, w: 1, x: 5, o: 4}. What is prob of sequence ok?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -51, -99, -177, -291, -447, -651, -909?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - -37?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p - 753723 = -18*p + 486277. Is p a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16476844 and 77\/348.\nAnswer: 1433485428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 83288040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -220133 (base 5) to base 9\nAnswer: -11311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7155, 7303, 7451?\n\"Answer: 148*w + 7007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*y + 16 = 0, 5*k + 4*y - 5*y = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 902 + -904. Sort 23, n, -5 in descending order.\nAnswer: 23, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (-2*sqrt(1323)*-5 - 2*-2*sqrt(1323))*3)**2)*5.\nAnswer: -26460*sqrt(3) + 11668925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 + 22*v + 93. Let a(p) = 6*p**2 + 33*p + 126. Let l(y) = -5*a(y) + 7*n(y). What is l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 394, 373, 338, 289, 226, 149, 58?\n\"Answer: -7*u**2 + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 9*d - 9. Let z be s(7). Suppose 0 = -4*c - 4*l + z*l - 13, l - 1 = c. Let a(x) = x**2 + 4*x - 5. Let f be a(c). Which is bigger: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(0*b + 0*b + 2*b**2) + b**2 - 1 + 1 + (-4*b**2 - b**2 + 3*b**2)*(0 - 2 + 3) - 7*b**2 + 3*b**2 + 3*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 121. Let k be -42*-4*(-9)\/o. Let s = k - -83. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 270. Suppose 5*s + 52*w - 102 = 48*w, -15 = -s + w. What is the greatest common divisor of s and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192000.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/5 (b) -1\/9 (c) -3\/14 (d) 10 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*i + 59, -4*s + 5*i - 21 + 60 = 0. Suppose -s*n + 7*n = -196. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-210420)\/(-49)*(-1617)\/(-22). Round l to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -22. List the prime factors of 1124\/10 - (c\/(-15) + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16205681, -32411365, -48617049?\nAnswer: -64822733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9639, -12377, -15115, -17853?\n\"Answer: -2738*l - 6901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2136588 by -712196.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 95\/30 - 1\/6. Suppose -15 = -5*t + h*m - 8*m, 3*t - 13 = -2*m. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(w + 2*w - 2*w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16486212, 16486213, 16486214, 16486215?\n\"Answer: g + 16486211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2 - 5200\/(-36). Let w = r + -27835\/198. Calculate the common denominator of -29\/6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**6\/90 + w**4\/8 - w**3\/3 - 3*w. Let s(t) be the second derivative of y(t). Differentiate s(l) with respect to l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(500)*1)**2 + -4*(sqrt(500)*-2)**2 - (2*sqrt(360))\/(-1*sqrt(6)\/sqrt(3)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*q = 15*q + 19*q - 8464 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476 (base 8) to base 9.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.3, 191400 in decreasing order.\nAnswer: 191400, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*o**3 + 23*o**3 - 46*o**4 - 11 - 22*o + 44*o**4 to m*o**4 + f*o**3 + k*o + u*o**2 + y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48598 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 + -4.7. Which is the nearest to 0? (a) 0.4 (b) 11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*f**2*y + 2*a*f**2 + 10*a*f + 5873*a - 3*f**2*y + 1392*f**2 + 2*f*y - 8*y + 2 wrt a?\nAnswer: f**2*y + 2*f**2 + 10*f + 5873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 1456048*j + 530018944576 = 0 for j.\nAnswer: -728024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6443118 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**3 + q**2 + q + 1. Let p be z(-1). Let h(w) = -w + 10. Let m be h(7). Suppose 0 = s + 4*u - 16, -5*u + p = -m. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3686 in 0.4, -1.9, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 5679 = 6401. Let c = 762 - o. Calculate the remainder when 63 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - (-6)\/27. Suppose 3*l - 21 - 42 = s. What is the remainder when (-8)\/12*366\/(-4) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 921 + -921. Let u(r) be the first derivative of g*r + 7 + 13\/2*r**2. Let c(w) = 6*w. What is -9*c(t) + 4*u(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*o - 724, 4*o - 11 = 1. What is the remainder when d is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2700 = 3*p, 4*p = 3*z + z + 3600. List the prime factors of p\/65 + (-2)\/(-13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006278539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -11950580\nAnswer: 3\/11950580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, -91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*a + 465*a - 144 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/8909 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i. Let w(y) = 104*y**2 - 40*y**2 - 46*y**2 - 36*y**2. What is d(w(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 2*x**5 + x**4)*(-2 + 0 + 4) + 2*x**5 + 3*x**5 + 3*x**5.\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 303 and 27?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(-20*(-23)\/(-92)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f**4 + 35 - 2*f + f + 40 - 74 to m*f**2 + u*f**4 + i*f + q + j*f**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*q - 3*v + 54, -3*q = -5*v + 62. Let m = q + 29. Put 2, m, 11 in ascending order.\nAnswer: m, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -22070515?\nAnswer: -22070510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 - 5408*d**3 + 548216*d**2 + 3457568*d + 2903940 = 0.\nAnswer: -5, -1, 117, 1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -144. Is (-4)\/16 - (1503\/(-12) + c) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 590034564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 21. Suppose -3*v + 50 - 45 = o, 3*o + 29 = 2*v. Determine l(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1313*y + 46553. Give q(-36).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18 - 0)\/(14\/(-7)). Let x be (-4)\/(-18) + (-56)\/c. Calculate the remainder when 24 is divided by (-55)\/x + 10\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6, -3*s + 3*d - 2*d = -967. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - c + 14 = 0, 0 = 2*g + c - 5 - 0. Suppose -g*y - 69 = -u, 4*u - 4*y - 14 = 262. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/545724 and -91\/94866?\nAnswer: 52935228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 24*o**3 + 3*o**2. Let a(u) = -23*u**3 - 4*u**2. Suppose 4*l + 37 = 3*j, 15 = -2*j - 263*l + 260*l. Give j*a(q) + 4*r(q).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.484379 litres in millilitres?\nAnswer: 2484.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:09 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/20 + 5*a**4\/12 - a**2\/2 - 2*a + 3. Let t(l) = -l**3 + 11*l**2 - 10*l + 4. Let p be t(10). Calculate i(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 2?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) 8648753\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3017, -5953, -8887, -11819?\nAnswer: -14749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 + 33*h - 33. Calculate p(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*p - 456*p + 902*p + 515 + 585 = 0 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w - 5 - 3*w - 22 - 11*w in the form f + y*w and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/20 - c**4 - 2*c**3 - 13*c**2\/2 + 3*c + 1742. Let f(z) = z - 5. Let n be f(-6). What is t(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6316*q - 185019 - 225521 = 0 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4902.3 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1.153, 2\/3?\nAnswer: -1.153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(4\/21)\/z)\/(z*(z*z\/z**(-2\/11))\/z) assuming z is positive.\nAnswer: z**(-460\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*g + 55*g - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1680980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 69 - 13*k + 13*k - 63 - 90 - 23*k**3.\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75158 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -791 + 793. Solve 3*u - 4*w - 4 = -u, u - n*w - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 941, 2139, 3831, 6023, 8721?\nAnswer: 11931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1702 + -1701.9999998567. What is k rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -4, 12, -6, 1, -33 in ascending order.\nAnswer: -33, -6, -4, 1, 12, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - t**2 + 3*t + 1. Let q be f(-2). What is the common denominator of (q\/(-84))\/((-3)\/27) and 42\/(-9)*(-3)\/(12\/(-19))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 19558 - 54428 = -4*r, 2 = -r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let a = -6 - -7. Suppose v - a = -t. Solve -2 = n + v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -169. Let k(c) = -9*c. Let a(x) = 9*x - 1. Let z(o) = w*a(o) - 3*k(o). Let r(d) = -2*d. Determine z(r(u)).\nAnswer: -18*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let i(s) = -49*s**2 - 4*s - 18. Let q(f) = -110*f**2 - 8*f - 40. Let k(a) = -9*i(a) + 4*q(a). Determine 2*k(b) - 6*o(b).\nAnswer: 2*b**2 + 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u - 48 - 924 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 22. Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522 - 522 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 - 8369*h**3*q - 7*h**3 + 15*h**2*q + 115230*h**2 - 3*h wrt h.\nAnswer: 72*h - 50214*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*l - 15, 3*l + 3*h + 35 = 26. Suppose -z + 7 = 2. Suppose 0 = -o + z*j - 5, 3*j + 14 = 4*o - 0*j. Sort l, -9, o in descending order.\nAnswer: o, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w - 2. Suppose 0 = -0*x + x + 2. Let n be z(x). Calculate the remainder when (n\/4)\/(3\/4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15751 = -20*t + 99271. Calculate the greatest common factor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64980470.\nAnswer: 2, 5, 137, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2*q - 279*j**2 - 2*j*q**4 - 79*q + 3 wrt q?\nAnswer: -2*j**2 - 8*j*q**3 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 19*l**6 + 3*l**2 - 9. Let x(h) = 9*h**6 + h**2 - 4. Let p(w) = 4*j(w) - 9*x(w). What is the third derivative of p(f) wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:34 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v + 1. Let a(b) = -3*b**3 + 91*b**2 - 28*b - 58. Let l be a(30). Give m(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5754*l**2 + 17319*l**2 + 8516*l**2 - 2.\nAnswer: 20081*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22250245 - -3?\nAnswer: -22250242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1107630 and -0.2?\nAnswer: 221526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (10 + (-4)\/4 + -7)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 12665150*a + 139316408.\nAnswer: 2*(a - 6332564)*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-185)\/37*(16 + 0). Let x = t - -83. Solve -z - 10 = -5*y, x*y + 2*z - 3 = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 5 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 377.93695\nAnswer: 755.8739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 99*m + 4115. What is d(-41)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -34, -111, -260, -505, -870?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/(-12)*-21*50\/375?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(4\/(-18)). Suppose -3*t + 2*t + 2*d = -7, -9 = -j*t + 3*d. Calculate the common denominator of 81\/8 and 111\/(-6)*t\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j**5 + 690*j**4\/7 - 1112*j**3\/7 + 586*j**2\/7 - 36*j\/7 - 16\/7 = 0 for j.\nAnswer: -1\/8, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170.99784 - 171. What is g rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -h + 6*h. Suppose -h*z - 18 = -o - z, 0 = 5*o + z - 64. Calculate the remainder when 51 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s)*(-5*s**2 + 4*s**2 - 4*s**2) + 3*s**3 + 1 - 1 + (5*s - s - s)*(-2*s**2 + s**2 + 3*s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 337429221 divided by -3?\nAnswer: -112476407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*i**4 - 566 + 566 + (2*i**2 - 2*i**2 + 2*i**2)*(7*i - 7*i - i**2) to p*i + w*i**3 + s + y*i**4 + n*i**2 and give y.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t + 12*j - 20 = -56*t + 13*j, -23*t - 5*j - 94 = -0*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a + 104*a - 37*a + 8*a**2 in the form n + z*a + r*a**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4253, 8405, 12557, 16709, 20861?\n\"Answer: 4152*t + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*36\/54. Let l be (-2)\/8 + 18\/8. Let m = l + y. Solve u - 12 = -m*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 505*x**3 - 28005*x**2 - 27495*x.\nAnswer: 5*x*(x - 141)*(x + 1)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Is 6*6 - -3 - d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/15 - 4\/(-30). Suppose -f*y + 3*y - 1 = 0. Which is smaller: -1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/6 - 51*u**3\/2 - 243*u**2 - 18*u + 2916 = 0. Calculate u.\nAnswer: -6, 3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 167*c - 1. Let d(o) = -338*o + 1. What is 5*a(m) + 3*d(m)?\nAnswer: -179*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 6*a + 96. Let l = 46 + a. What is the greatest common factor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**3 - 87*k**2 - 60*k + 90. Determine n(-9).\nAnswer: 3060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -9*h**4 + 8 + 28*h + 13*h**3 - 2*h**2 + 11*h**4 + 32*h**2 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 396880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 3*h = 3*o - 4294, 854 = -o - 3*h. Let r = o - -2725. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 2, o: 1, k: 1}. Give prob of picking 1 c and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((1 - 0) + 2). Let s(o) be the third derivative of o**6\/120 + o**5\/20 + o**4\/8 + o**3\/3 + 99*o**2 - 2. What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r - 16. Give o(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/4 + (-3)\/(-6). Let k be 10\/(-12) - j\/(-18). Put -1\/8, -3\/2, k in decreasing order.\nAnswer: -1\/8, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((42\/8)\/(-3)). Let y = 4 - 3. Let z(r) = 19*r - 95. Let u be z(5). Which is the nearest to u? (a) o (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Let x be (-3)\/(9\/(-6)) - v. Solve 2*s = 6*s + 20, 0 = x*h + 5*s + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -4, -1662 in ascending order.\nAnswer: -1662, -147, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 538*n - 4313. Determine a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 424712.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1331 - -1331. Let m = -1.3 + 0.3. What is the nearest to 2\/9 in r, m, -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -61*h - 5. Give p(-3).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -22. Let o = -4 + 12. Solve t*u + 12 + o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 243745322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517800 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(sqrt(2940) + 2*sqrt(2940) - sqrt(2940)))\/((sqrt(120)\/sqrt(2)*-3)\/(sqrt(1452)*-2)))**2.\nAnswer: 4553472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32110211 + 3133?\nAnswer: 32113344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggjjggj. Give prob of sequence jy.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 10 = 0. What is the nearest to 0.1 in m, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 1411*p - 46818.\nAnswer: -(p + 34)*(p + 1377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692141.\nAnswer: 692141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972032 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-6) + 1 + 5\/(-30). Suppose -16 = -y - h*u, 82 = 3*y - 2*u - 0*u. Calculate the greatest common factor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538 - 766. Let o = 2731\/12 + z. Calculate the common denominator of 103\/10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.349672 - -1.35. What is d rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z - 1. Let s be l(-8). Let p be (-3 - 0)\/((-1)\/s). What are the prime factors of 116\/12 - (-2)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213503346 divided by -126558\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69380*o**3 + 12984*o**3 + 139888*o**3 - 9148*o**3.\nAnswer: 213104*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from nqnnqnqqqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**4 + 40*m**3 - 20*m**2 - 54*m. Let c = -202 + 205. Let w(b) = -b**4 - 8*b**3 + 4*b**2 + 11*b. Let n(y) = c*o(y) + 14*w(y). Factor n(q).\nAnswer: 4*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m - 7. Calculate j(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thhq when four letters picked without replacement from hyhqppptqp?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000055369 to seven decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*b + 5, 4*b - 53 = -l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(67 - (-5111)\/(-76))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*y = -666, 0 = t - 4*t + 5*y + 507. Calculate the remainder when 666 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5 - 5*b + 2 - 6*b**2 - 2*b + 3*b - b**3. Suppose 5*i + 5 = 0, 18 = -4*a - 3*i + 5*i. Calculate y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 22*i + 26. Let l be s(24). Suppose -3*z + 103 = -l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 61. Is 6 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 374. Suppose 0 = -11*y + 16*y - t. Solve -i + 3*a + 20 = i, -a - y = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97639147 divided by -131\nAnswer: 745337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6991*c**3*j**3*v**3 - 10*c**3*j**2 - 2*c**2*j**3*v**2 + 95*j**3*v**3 - 7*v**3 wrt c.\nAnswer: -41946*j**3*v**3 - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 317937708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 444157*s**2*x**2 + 880*s*x - 3*s + 57*x**2 wrt s?\nAnswer: 888314*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*f - 4*t, -10*t + 15*t = 4*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k. Let a be s(4). Solve 0 = a*x - 0*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 2455*a**2 - 457405*a + 255794175.\nAnswer: 5*(a - 403)**2*(a + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*d, 0 = 82*w - 86*w + 3*d - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 17*j - 28. Determine l(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.4, 12\/23, -13, 1, -1.6.\nAnswer: -13, -1.6, -1\/5, 0.4, 12\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/45 and -31\/286065.\nAnswer: 286065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/27)*r*r)\/r**(7\/5))\/(r\/r**(-2\/9)*r*r**2*r) assuming r is positive.\nAnswer: r**(-634\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 13, y: 6}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = -4*g + 9, g = 0. Suppose 20 = -7*i + t*i + 5*y, 20 = -2*i + 5*y. Solve -1\/5*c**2 - 1\/5*c**5 + i + 1\/5*c**3 + 0*c + 1\/5*c**4 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {n: 4, i: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let f(u) = 10*u - 147*u - 2550*u - 2918*u + 1261*u. Calculate f(x(h)).\nAnswer: 4344*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001000000 (base 2) to base 12.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-2 - -26) - (-755)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-26))\/t)\/t**(1\/37) assuming t is positive.\nAnswer: t**(-963\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6 + (-2)\/(-4). Calculate the highest common divisor of d and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/252*54\/12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 - 266 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e6a326 - 19?\nAnswer: -1e6a340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-644 - -646)*(-3 - (1 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-516)\/(-252324))\/((-3)\/((-18)\/(-75))). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8116953)\/54294)\/(26\/(-16))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -45. Let n = 24 - q. Calculate the greatest common divisor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.772 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 10*i + 10. Let a(f) = -6 - f + 7 + 0. Determine -20*a(m) + 2*s(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-1\/29)*c)*c)*c**(-2\/19))**(-20\/11))**(-5\/2) assuming c is positive.\nAnswer: c**(23700\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14 and -25\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 17, 1, 24, -110 in decreasing order.\nAnswer: 24, 17, 1, -2, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -179*w. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, f: 1, q: 5, m: 6}. Give prob of sequence mqmm.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.9164 + 47.9. Round o to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 488 + 1743. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1900) + sqrt(1900)*3.\nAnswer: 1 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + f + 4*f + f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40465 - 2*o + 37909 - 107190.\nAnswer: -2*o - 109746","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922742 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, g: 3, q: 4, a: 1}. What is prob of sequence dqd?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 36. What is the tens digit of (-480)\/(-9)*(b + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 9*u = 2*f + 14, 11*u - 99 = 5*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 57242*-0.02\nAnswer: -1144.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -124, -5\/7, 1, 1.1, -215 in descending order.\nAnswer: 1.1, 1, 0.5, -5\/7, -124, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1896 = 38*l + 60*l - 19*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 155500 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*j + 8 = -1214*j + 606*j - 3*p, -15*j + 164 = -p for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q - 67*q = 0. Let v = -936111\/301 + 3110. Let a = -2698\/3311 + v. Is q equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + -6 + (6 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7606233?\nAnswer: 3, 845137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 39. Sort -1, -5, 1, h in decreasing order.\nAnswer: h, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8722802*r**3 + 72821781*r**2.\nAnswer: -52336812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3273, -13137, -29581, -52605?\nAnswer: -82209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 50 = 3*c - 4*l, 3*l = 5*c + 45. Let o be c\/8 + (-195)\/(-20). Let a(m) = 3*m**2 - 9*m + 1. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 1 a when three letters picked without replacement from csceeueachahhae.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 3*l - 4*l + (-2 + 1 + 4)*(-l - 3*l + 3*l) - 154*l - 373*l - 247*l + 209*l.\nAnswer: -567*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**6\/i*i)\/i**0)\/(i**10\/(i*i**(1\/3)\/i)))**(-14))**(-1\/3) assuming i is positive.\nAnswer: i**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220210220 + 11111?\nAnswer: 220222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 4 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 254 + 44 = 0. Is i\/20*(-1 + -5869) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*o + 44*o + 98 + 721 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:26 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 75*m**2 - 8 - 11*m**2 + 5 + 7 + m to u + q*m + a*m**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -3*z, -1 = -3*m + 2*z + 6. What is the highest common divisor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 0.02114388.\nAnswer: 0.47885612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/312 + -2\/39. Let p = -3 - -2.9. What is the nearest to p in q, -0.4, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183828 is divided by 3130?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8162.312 milligrams in kilograms?\nAnswer: 0.008162312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let n(j) = -j + 19. Let q be n(11). Suppose -3 = 7*h - q*h. Sort p, h, 0 in ascending order.\nAnswer: 0, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*v = 37, 0 = -d + 4*v - 2*v + 8. Suppose -3*o - 1236 + 3534 = 0. Let c be (-18)\/(-99) - o\/(-22). Calculate the highest common divisor of c and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 18. Let q(r) = -r**2 - 10*r - 12. Let j be q(c). Suppose 5*l = j*w - w + 40, -4*l + 2*w = -34. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42609*o = 42521*o + 5456 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose 3*g - 2*g = -3*y - a, -2*y = 2*g + 8. Suppose y = 2*h - 151 - 319. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6*w + 2414*g**3*w**3 - 2*g**2*w**3 - 5255*g**2 wrt g.\nAnswer: 120*g**3*w + 14484*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {e: 1, y: 2, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2. Let u(f) be the second derivative of 0 + 0*f**2 - 13*f - 1\/6*f**4 + 0*f**3. What is j(u(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 3*q - 290, 3*f - 5*q - 174 = 0. Let s = f - -64. Suppose -s = -2*x + 56. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8 + 113*l + 8*l + 5.\nAnswer: 121*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b56c + -253?\nAnswer: -5b7c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1100\/203 - 174635\/26796. Find the common denominator of 53\/10 and u.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + 6*k + 5. Let b(o) = 6*o**2 + 7*o + 6. What is 5*b(r) - 6*j(r)?\nAnswer: -12*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13502.83 + 2220588.17. Let s = l + -2234102.000056. Let w = s + 11. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3988136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 10*g + 10*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -785\/204 - -5\/51. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b365 (base 12) in base 15?\nAnswer: bdd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0542073314 rounded to 6 decimal places?\nAnswer: 0.054207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 + 12*c + 66. What is a(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 616*b - 319?\nAnswer: 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*i**2 + i**3 + 13*i + 2*i**3 + 87*i**2 - 14*i - 3*i**4 + i**4 as p + u*i**3 + n*i + w*i**2 + h*i**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058516 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14787196?\nAnswer: 2, 3696799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 - 1 - 1)*(5*t**2 - 3*t**2 - t**2)*(-2 - 1 + 1).\nAnswer: 2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.84 + -1.16. What is the nearest to w in 0.05, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 98*o**3 - 2401*o**2.\nAnswer: -o**2*(o + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 7*u - 4. Let d be w(-6). Let v be d\/3 + 14\/(-3). Is -1 + 3 - (3 + v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g + 554 = 2074 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 + 8*a + 8. Let t be x(-7). Let y(n) = 8*n**3. What is the remainder when 31 is divided by y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -16\/3*h**2 + 4\/3*h**4 - 8\/3*h**3 + 8\/3*h + 4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + ((-3916)\/(-1))\/4. Suppose -g - 1889 = -9*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*b*t**5 + 2*b*t**2 + b*t - 1546*b + t**5 wrt t.\nAnswer: 4660*b*t**3 + 4*b + 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -1.06. Let k = -17 - -86\/5. Which is the closest to m? (a) -1\/7 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7413584 divided by 39.\nAnswer: -7413584\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5681 and 743337.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004819 rounded to six dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 24 = -24. Solve -m + 4*t - t = 1, t - 1 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1264, 4431, 9524, 16543, 25488, 36359?\nAnswer: 49156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 638\/3, -0.5 in descending order.\nAnswer: 638\/3, 5, 4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 4. Let l be q(-4). Let n be (-77)\/286 - (-18)\/12. Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109953 is divided by 54971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11116125 (base 7) to base 15.\nAnswer: -1402d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1787 + 903*c - 598*c - 599*c - c**2 wrt c?\nAnswer: -2*c - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-72)\/(-216))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9166610 divided by -73.\nAnswer: 125570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**2 + y**2 + 8*y**2. Let b(a) = 5*a - 4. Let g(w) = 11*w - 9. Let s(f) = -9*b(f) + 4*g(f). Give s(m(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + n - 106 = -228 + 14 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + ((0 + sqrt(176))*-4 + 2 - (-1 + 0 + sqrt(176) + -3)) + -3.\nAnswer: -20*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6)*(-9)\/2. Let i be (-9)\/t - 1\/1. Suppose -2*p = -4*b + 3 + 5, b + 3*p = -5. Is i <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let u be (-116)\/6*2\/4*-3. Let b(j) = -j - 6. Let g be b(-10). Solve -g = p*k - u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1587128*n - 12*n**2 + 5*n**2 - 1587128*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -32*t + 2480. Is 106 a factor of n(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezz when three letters picked without replacement from {e: 2, j: 1, p: 3, z: 6, a: 4, r: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m + 6. Suppose 1066*b - 1052*b - 224 = 0. What is the remainder when -7*(m - (6 - -2)) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62456, 124821, 187192, 249569?\n\"Answer: 3*o**2 + 62356*o + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1798, -1804, -1810, -1816, -1822?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347 - 136. Calculate the remainder when c is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4\/9)*(w\/((w\/((w\/w**2)\/w))\/w))\/w)**(14\/9))**47)**(-11) assuming w is positive.\nAnswer: w**(159236\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3 + 2*x**2 - 8878*x - 6816 with respect to x.\nAnswer: -3*x**2 + 4*x - 8878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-39808)\/6)\/((-44)\/(-123750)). What is l rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5 = 177*x - 173*x, -4*z = -5*x - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/7 + 12*l**4\/7 + 37*l**3\/7 - 348*l**2\/7 + 468*l\/7 = 0 for l.\nAnswer: -6, 0, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u - 8. Let s be g(8). Suppose s = 3*c + 3*o - 219, 0*c + 4*o + 68 = c. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from fkfczffccqwqqqkqqzck.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5 in descending order.\nAnswer: 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1232 and 2618?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 14. Let b be i(-7). Let h be (b\/(-57))\/((-2)\/12600). What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327015652.\nAnswer: 2, 31, 1069, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-46)*(-2)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 110420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20007250 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:47 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9))**24*(r*r*r**(1\/4)*r)**(-50))**(8\/7) assuming r is positive.\nAnswer: r**(-4028\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435024425 - 1?\nAnswer: 435024424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-15)*-18 + -2)\/(140\/100). Find i, given that -4\/7*i + 2\/7 + j*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63.9 and 0.069.\nAnswer: 4.4091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:08 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a decade in months?\nAnswer: 2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2 - 21*f + 24 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67460, 67578, 67776, 68054?\nAnswer: 68412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-nine halves of a century?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvovvvvvii. Give prob of sequence oo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36120 (base 7) to base 14\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 - 32970*a**2 - 135729126*a + 1224234162 = 0.\nAnswer: -8247, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(2\/7)*w)\/(w**(2\/7)\/(w**(1\/6)*w))*(w\/w**(-2\/3)*w**(-4))\/(w**(-1\/4))**(5\/17) assuming w is positive.\nAnswer: w**(389\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*v - 6*v. Is (-1)\/v + (-244968)\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*v = 28, m - 2*v - 9 = -5*v. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 3112231?\nAnswer: -3112300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - 8*o**3\/3 + 3*o**2 + 5*o - 5. Let i be x(7). Which is bigger: i or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31222936 to the power of 1\/2, to the nearest integer?\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, 2\/7, 0.4, -87, -307 in descending order.\nAnswer: 4, 0.4, 2\/7, -0.4, -87, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 12270.\nAnswer: 85890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188237.\nAnswer: 3, 396079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 15*l**2. Let w = 8 - 23. Let n be m(w). Suppose f + 1 - 5 = n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, 12, 6, 4, 1, -2, -1.\nAnswer: -2, -1, 1, 4, 6, 12, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -142120?\nAnswer: 142112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -184*0.5\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + 2*l - 4*l)*(6 - 9 - 17) - 3*l + 5*l + 9*l)*(-4*l**4 - 2*l**4 + 2*l**4).\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkjkjiiki. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 10 = 5*r - 4*r - 15, -r - 4*r + 0*r - 10 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*v + 14, 5*v - 12 - 75 = -w - 52 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 465719.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = 5. Let t be z\/10 + (-4)\/(-10). Solve t = 2*x + x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-130)\/(-30) + 0 + 6\/9. Sort d, -3, -2, 14 in descending order.\nAnswer: 14, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 13*v**2 + 26*v - 42. What is d(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -7. Let l be (0\/u)\/((-18)\/(-6)). Solve 2*t + l*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24411, 24401, 24349, 24225, 23999?\nAnswer: 23641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.268725ms in hours?\nAnswer: 0.0000192413125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 2*v + (0 - 3 + 1)*(2 - 2 - v) - 4*v + 3*v - v)*(-2*v + 6*v - 6*v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 21*y = 180, 1041*l - 2*y = 1038*l - 35 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from qqqqqqyyyqqyy.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**4\/84 - k**3\/14 + k**2\/7 - 9*k - 7. Let a(c) be the first derivative of z(c). Solve a(t) = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 342 = 59*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*l - 3*l, 3*i = 2*l + 14. What is the third derivative of d**2 - 3*d**4 + d**2 - 6*d**i wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - o + 15 = -15*c, -5*c - 5*o + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83524329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:08 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 561, 1119, 1675, 2229?\n\"Answer: -w**2 + 561*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -46\/67 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/177? (a) 4 (b) -1\/3 (c) -1.6 (d) -13 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4\/609, 5 in ascending order.\nAnswer: -4\/609, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 4, m: 3, y: 6, g: 1, f: 2}. What is prob of sequence vmym?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from {b: 3, p: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20748 + 20744. Let n(d) = 2 + 0*d + 0*d**3 + 2*d - d**3 + 4. Let h(s) = 2*s - 3 + 2 + 6 - s**3. Determine g*n(y) + 5*h(y).\nAnswer: -y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 1, h: 1, z: 1, v: 1}. Give prob of picking 1 r, 1 h, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amtmmmmmmmm. Give prob of sequence tmm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0*s*s*s*s)\/(s\/s**(-7))*(s**1\/s)**(-7\/6)*s\/(s\/(s**(-2\/9)*s))*s*s*s**(-3)\/s*s*(s**1)**(-2\/35) assuming s is positive.\nAnswer: s**(-1033\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -4*w, w + 0*x - 10 = -4*x. Let k = 1 + -1. Let b = w + k. Solve -y - b*m = 15, -2*y = 2*y - 5*m - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1711)*10585\/(-2190).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 3*h + 4. Let m(b) = 13*b + 9. Let v(q) = 2*q**2 - 28*q - 18. Let u(p) = 7*m(p) + 3*v(p). Calculate 5*r(k) - 2*u(k).\nAnswer: 3*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4024mg in kilograms?\nAnswer: 0.0000084024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47706, 80551, 113396, 146241, 179086?\n\"Answer: 32845*t + 14861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.5? (a) 2 (b) -0.4 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + d)*(-1 - 2*d + 1)*(-1 + 1 - 8*d).\nAnswer: 16*d**3 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (5 + (0 - (2 - -3)) + (1 - -58)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 79*f**6\/60 + 19*f**5\/6 - 95*f**2. What is the third derivative of l(d) wrt d?\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3 + 0*n**3 + 5\/336*n**8 + 0*n**5 - 1\/6*n**7 - 25*n**2 + 1\/2*n**6 + 0*n**4 + 0*n. Let u(z) = 0. Calculate z.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18926000*k**2 - 25464053*k?\nAnswer: -37852000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z - 2*t = -602, 0 = -z - 4*t + 307. Let l = z - 204. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 1. Let s be -3 - ((3 - 3) + -1). Let a(f) = -f**3 - 4*f**2 - 3. Calculate s*a(g) - 6*o(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4 - 8. Suppose -q = -4*i + 4. Suppose 0 = -4*s - i - 2, j = -2*s. Solve -2*k - j - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a factor of 33680790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.3 (c) 0.2 (d) -0.02 (e) 15 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-513)\/(-1197) - 10\/(-28)*38. Suppose -4*v + 9 + 7 = 0. Suppose 6 = 2*z - i, -18 = -v*z + 3*i + 2*i. What is the highest common factor of s and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 41. Suppose o*l = 2*l + 36. Find the third derivative of 0*j**3 + 10*j**2 - 25*j**3 + l*j**3 wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, 5, -5 in descending order.\nAnswer: 519, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, l: 5}. Give prob of sequence ccc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (15 + (-17 - 19 - -19))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctcc. What is prob of sequence ttcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 164, -1\/35, -9\/64?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 11. Let j = -13 - -16. Let w(i) = -2*i**2 + 4*i - 7. Let x be w(j). What is the units digit of f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose d*n + n - 28 = 0. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - c**3 + c**4 - 4*c**3 + (c**2 + 2*c**2 + 2*c**2)*(-5*c + c + 2*c**2 - c) in the form u*c**4 + d + t*c**3 + w*c**2 + y*c and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w**5 + 0*w - 2\/3*w**6 + 0*w**3 + 0*w**4 - 4*w**2 - 3. What is the second derivative of j(d) wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665499 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20320*j*t - 1077*j - 4*t - 15076899 wrt j?\nAnswer: 20320*t - 1077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 44*d = -200. Let v(z) be the third derivative of -z**5\/60 + 3*z**4\/8 + z**3\/2 + z**2. Give v(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 2*d**3 - 4*d**3 + (-6*d + 2*d + 3*d)*(-d**2 + 3*d**2 - 4*d**2))*(-3*d - 11*d**2 + 3*d).\nAnswer: -33*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -605*2.2\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 - -9) + -9 + -6 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:46 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 1, p: 2, l: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-40) + (-19242)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 22*r + 30. Suppose 3*k + 3*x + 6 = k, 3*k = r*x + 10. Solve 0*y + 3*y = 2*t - 4, -5*t - 2*y + 29 = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1896 - -2358. Calculate the least common multiple of 378 and t.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*n**4 - 2*n**3*t**2 - 33000*n**3 - 40583*n**2*t**2 + 2*n**2 + 2*n*t**2 - 3*n - 2*t**2 + 4 wrt n?\nAnswer: 456*n - 12*t**2 - 198000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.1, -17, -1527?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 11 - 12\/3. Calculate the greatest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u + 3. Let a be m(2). Solve -a*q + 10 = -5*i, -4*i - 3*q = -3*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 68897748?\nAnswer: 757875228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 19, 13\/15, -1\/7, -0.5?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/2 + 37*p**3\/2 - 213*p**2 + 720*p = 0?\nAnswer: 0, 6, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -11. Let v be -28 + (-5)\/(f\/(-2)). Let d be v\/(-4)*4\/6. Solve -10 = -4*h + 3*s + 22, -d*h - 3*s + 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1205 not equal to -432300\/359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -806939, -1613591, -2420243?\n\"Answer: -806652*w - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*a + 4*o, 5*a - 12896*o + 41 = -12894*o for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 9. Determine a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - -1022?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2\/5 + 5*h = 0.\nAnswer: 0, 25\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -95243854 and -95243856 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/3)*z))**(-47)\/(z**0)**(-7\/2) assuming z is positive.\nAnswer: z**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 6*z**2 + 2*z**2 + 0*z**2 - 2*z**2 + 3*z**2 + (-4 - 2 + 4)*(-2*z**2 + 2*z**2 - z**2) + (-1 + 3*z + 1)*(-11*z + z + 2*z).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102010 (base 3) to base 14.\nAnswer: -161b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336284407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78\/73 - -1397\/146. Let h(g) be the second derivative of 0 - 9\/10*g**5 - 13*g + 0*g**3 - v*g**2 + 0*g**4. What is the first derivative of h(k) wrt k?\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/8*12\/99?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6*p + 3*p + 45 = 0, 15 = 5*p. Suppose 19 + d = c. Suppose -5*q + 3*q = -c. What is the remainder when 20 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -r + 5*r - 12, -4*b = 0. Let u(x) = -x**3 + 3 - x**r + 3*x**3 - 5*x**2. What is the units digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 3*r + 2. Let q = 8 + -12. Suppose l = 18 - 16. What is the lowest common multiple of k(q) and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 divided by 8.\nAnswer: 145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2244112 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4 - 2 - 2 + 2 + 0 - 1 + 0 + (0 - 3 + 2)*(-2 + 0 + 1))*(-69 - 469*h + 470*h + 12)*(0 - 2*h + 0).\nAnswer: 6*h**2 - 342*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596060, -1595857, -1595654, -1595451, -1595248, -1595045?\nAnswer: -1594842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57602862 a multiple of 3277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**5 + 0*w**2 + 0*w**4 + 0 - 1\/3*w**3 - 1\/30*w**6 + 40*w. Find the second derivative of z(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 25*p**2 - 7*p + 18. Let w(y) = -12*y**2 + 3*y - 8. What is 4*o(m) + 9*w(m)?\nAnswer: -8*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-42))\/((-2)\/60). Solve -2*o - 2*o = -p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300986789 a multiple of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(66)\/(sqrt(11) + sqrt(33)\/sqrt(3))) + (sqrt(78) - (sqrt(78) - sqrt(78)*-1))\/sqrt(6) + -3)**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -85\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/722 and -105\/874.\nAnswer: 16606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*h + 278*h = -3*q - 15, 4*h - 2*q - 16 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 2. Suppose 0 = 13*p - 18*p + 695. Suppose 3*y - 175 = -p. Solve 2*u = 5*n + y, -5*n - u - u - g = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396) + 4)**2*2*-4*6*2.\nAnswer: -38880 - 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163869211.\nAnswer: 11, 1354291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1404 or 12?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2066 + 2007. Do -54 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/30 - 19*b**4\/4 - 602*b**3\/3 - 22*b**2 + 25. Factor z(f).\nAnswer: -2*(f + 14)*(f + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133*y - 9540 + 19440 = -25223 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1377 - -1379. What is the nearest to 7 in g, 9\/5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*g**4 - 626 + 626 - 2*g + g**4 + 2*g + (2 - 2 - 1)*(g**4 + g**4 - 4*g**4) - 4 - 5*g**4 + 4 - 2 + 2 - 2*g**4.\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523687 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (77*j**2 - 380*j**2 + 79*j + 96*j - 614*j**2 - 67*j)*(2*j - 2*j + j) as f*j + q*j**3 + d + k*j**2 and give q.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.04, -2, 0, 4, -34844.\nAnswer: -34844, -2, 0, 0.04, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/30*(-8)\/(-60)*-4.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 988, 1956, 2916, 3856, 4764?\n\"Answer: -2*i**3 + 8*i**2 + 958*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) 2 (c) -0.8 (d) 0.63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12210 - 32011211323?\nAnswer: -32011133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.961 - 0.039. Let z = -28 - w. Which is the third smallest value? (a) z (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -13\/3*u**3 + 0*u + 0 + 23*u**2 + 1\/4*u**4. Let v be a(5). Solve 2*o = 2*y - 8, 2*y + v*o = -2*y - 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -1, 4, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2071 = -16*x + 2359 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 19\/2*x**2 - 1\/20*x**5 - 2\/3*x**4 + 2*x**3 + 0 + 81*x. What is l(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*1 + 5 - (sqrt(1573) - (-1 + sqrt(1573) + sqrt(1573) + 3)))**2*-4.\nAnswer: -25364 - 1232*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 326, 1607, 4408, 9311, 16898, 27751, 42452?\nAnswer: 61583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/8 + 1)*(20 + 256\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*h - 7*h. Suppose 0 = -3*n - 0*n + 12. Solve -h - n = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 2, o: 3, v: 1, t: 2, c: 6}. Give prob of sequence po.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6758047*j**2 + 35465*j - 23?\nAnswer: 13516094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a factor of 3385219200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/60*2*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*j - 144 - 86, 4*h = j - 1004. Let z be (2\/(-4))\/(5\/h). Suppose 3*k - 4 + 14 = 5*c, k = 2*c - 5. Solve 0*t - k*t + z = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -914, -945, -1010, -1121, -1290?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dc - -2560b?\nAnswer: 2551e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 39?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -121*n**3 + 6*n**2 - 4*n - 5. Calculate p(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 10*h**2 - 22*h - 17. Determine j(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 811, 1621, 2431, 3241?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*g - 2 + 21*g + 6 + 21*g in the form s*g + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281129 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let r = -27 + 31. Suppose r*m = 3*j - 12, -m = -4*j + 15 + 1. What is the closest to m in -4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 50829228.\nAnswer: 559121508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 23. Let b be k(10). Let u be (-532)\/(-22) - 6\/b. What is the remainder when -1*(-6)\/(u\/28) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1184, -1, 0.1 in descending order.\nAnswer: 0.1, -0.1184, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 bigger than 6290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, z: 2, y: 5}. Give prob of picking 2 y and 1 z.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 4*s + 132*s**2 - 129*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9529*c**4 - 530*c**3 + 51065166*c**2.\nAnswer: 228696*c - 3180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 3. Let w = y - 14. Let t be (6\/8)\/(w\/(-32)). Which is the nearest to 2\/3? (a) -3\/2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7)\/(-1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -19. What are the prime factors of ((-20)\/(-8) + -2)*r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 174*d - 869. What is s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26864033*i**5*p - 3*i*p - 344295*p wrt i.\nAnswer: 537280660*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b + 4. Suppose -o + 84 = -b*o. Let s = o - -1426\/17. Put -2, s, -0.3 in descending order.\nAnswer: s, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 1\/9*a**3 - 28\/3*a + 2*a**2 + 139. Factor r(n).\nAnswer: (n - 2)*(n + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 6. Let z be b(5). Suppose 8*d = 11*d + 27. Let p = d - z. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1303311002320?\nAnswer: 1303311002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -340, -338, -336?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -501 + 2097. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.040920116 and -1.869.\nAnswer: -1.909920116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2149 = -3*o - 2128, 0 = -3*x - 4 - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 - -3406.\nAnswer: 3405.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75404 is divided by 2255?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68)\/sqrt(4))**2 - ((4*(sqrt(17) + -1) - sqrt(17)) + sqrt(17)).\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10654 (base 9) in base 6?\nAnswer: -52504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -r - 13 + 38, -5*r = -3*k - 74. Suppose 3*q - 14 = r. What is the highest common divisor of q and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a693e (base 16) in base 2?\nAnswer: 110100110100100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -l - d - 4, -2*l = d + 2. Let q = l - -6. What is the lowest common multiple of q and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/95286539?\nAnswer: -2\/95286539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(147) - -6*(sqrt(3) + 0) - (sqrt(735)*-1)\/(sqrt(720) - (sqrt(720) + sqrt(720)*-2 + sqrt(720))))**2.\nAnswer: 163*sqrt(3)\/3 + 26761\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7221 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (-1 - 47)*(9 + 111\/(-9)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222120031 - 2?\nAnswer: -222120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/87 - 1817\/2958. Let h = -109027\/30 - -3639. Find the common denominator of h and b.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34433 + -2779833407\nAnswer: -2779798974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12909179 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:47 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 3. Let y be p(-2). Let a = 5 + -7. Let z = y - a. Sort z, 1, 3.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3 - 25. Let a = w + 10. Suppose -n - 3*x + 3 = 2, -4*n + x = -a. What is the smallest common multiple of n and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 74 = -2*a, -4*w + 0*a + 58 = 2*a. Suppose 3*y - w = 4*j, 6*y = j + 2*y + 17. Is (-1)\/(240\/(-237) - j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -230012?\nAnswer: -230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 55. Suppose 35*w**4 - 95*w**2 + 20 - 60*w + 23*w**3 + 40*w**2 + 59*w**k - 22*w**3 = 0. What is w?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1226.1879445 - -0.0559445. Let q = v + 1212. Let g = q + 14. What is g rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**3 - 17*f**2 + 23. Let i(g) = 18*g**3 + 33*g**2 - 45. What is 11*a(r) + 6*i(r)?\nAnswer: -2*r**3 + 11*r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2220 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 59245.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1426, 1714, 2462, 3898, 6250, 9746, 14614?\nAnswer: 21082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8336 and 5210.\nAnswer: 41680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -643182*y - 5883734 wrt y?\nAnswer: -643182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvgm when four letters picked without replacement from {c: 1, g: 2, m: 9, v: 8}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2418000 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = -0*t. Suppose -21 = -t*f - 3*o - 0*o, -3*f = -4*o. Suppose 3*x + 1 - f = 0, 10 = g - 3*x. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*y - 39*y + 1005678. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*i + 38722 = 4*i, 3*a - i = 58113. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1086, 1\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 11*b + 27. Give o(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.38. Let j(c) = 6*c + 13 - 3*c + 3. Let a be j(-6). Is a less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 4*c**2 - 8*c + 0*c + 12 - 3*c**2. Let i be t(10). Let d(b) = -9*b**2 + 81*b + 3. Let h be d(9). Solve 0 = h*o - 8 + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 76*s - 830. What is the remainder when 928 is divided by d(15)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -306, -0.3 in decreasing order.\nAnswer: -0.3, -12, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-464)\/30)\/(-58).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*s + 28 = 0, 5157 = 2*c + s + 5141 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.36533, -3, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 + 3*d - 3. Let g(p) = 7*p**2 - 4*p + 4. Suppose 0 = -2*q - 3*q - 20. Calculate q*g(b) - 5*c(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 9*s**2 - 104760*s + 733225. Calculate x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvxgxywxvxvyxy. Give prob of picking 1 y, 2 v, and 1 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.8 + -22. Let z = w + -7. Let y be 8\/160*12 + (-16)\/10. What is the nearest to y in 5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 374\/19, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**6\/120 + f**4\/24 + 3*f**2\/2 - 3*f. Let s(u) be the first derivative of b(u). Factor s(g).\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = 18. Let h be -2 - (37\/g)\/((-9)\/(-4)). Suppose 0 = -n + 2*n. Are n and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8625\/(-4140) + (2 - (-69)\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 17494 + 15688 = 0. What is the least common multiple of 384 and m?\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328 divided by -2.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.1, 0.3, -67888, -2, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzznml. Give prob of sequence zzln.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7) + 2 + (sqrt(14) + 1*sqrt(14))\/sqrt(2) + -1 + (sqrt(7) - (-2 + sqrt(7))*-5 - -1*sqrt(1008)).\nAnswer: -9 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(208) + -5 + (sqrt(208)*1)**2 + (-6*(-1*sqrt(208) + sqrt(208)))**2) + 5.\nAnswer: 20*sqrt(13) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/8 (b) -1.173 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4560 and 29\/36804?\nAnswer: 13985520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -140*j + 53*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 211*q**6\/120 + 133*q**5\/60 + 12*q**2 - 6*q. Find the third derivative of b(i) wrt i.\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/4 - 4*b**3\/3 + 15*b**2\/2 + 5*b. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/3*z**3 - 2\/3*z + z**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67944675 divided by -5?\nAnswer: -13588935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001110100101000 (base 2) to base 10.\nAnswer: 105768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4\/3 + 24*z**3 - 22*z**2 + 16*z\/3.\nAnswer: -2*z*(z - 8)*(2*z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*d, b + 6*d + 2 = 7*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185181 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5767\/60587?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 116. What is the least common multiple of 6 and o(9)?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/11 - 32*q**3\/11 - 2*q**2\/11 + 32*q\/11 = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 240 = -7*o. Calculate the remainder when o is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1666 + -1666.893. Let m = -40780.90061 - -40780. Let n = m - s. Round n to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131501 times 0.1?\nAnswer: -113150.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-9)\/(33 - 6))\/1)\/((-6)\/(-10)). Which is the nearest to 2? (a) 0 (b) -0.3 (c) v (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitiftfiiiiiidgtt. What is prob of sequence tdf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 2*s - 5. Let p be u(0). Let a(t) = -12*t - 7. What is the units digit of a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -264.2 (b) 0.08 (c) -0.2 (d) -2\/21 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5*u - 4. Let d be k(3). What are the prime factors of (-2)\/2 + d*8?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 3\/20*j**4 + 2*j**2 + 0 + 0*j**3 - 1\/300*j**6 - 3*j - 3\/50*j**5 + 1\/525*j**7. Let o(h) = 0. Calculate h.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 808\/(-10) - ((-120)\/25 + 5). What are the prime factors of 11448\/r*(-3)\/2?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 2. Let w be q(-1). What is the remainder when 14 is divided by ((-3)\/w)\/(3\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - -0.15. Let x = -0.2 + u. What is the nearest to x in -5, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 15 = 4*m + 3*y, -y = 3*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173622 and 1140.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -63699371 divided by 3\nAnswer: -63699371\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s**2 + 1872*s + 552. What is the smallest common multiple of x(144) and 408?\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2804334.147 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w - 270. Suppose 0*l - 2*l = -w. Calculate the remainder when l is divided by ((-20)\/(1520\/(-171)))\/((-39)\/(-208)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -401, -664, -959, -1286?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -614302 + 286\/(-52) + (-1)\/(-2). What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4769753, -4769756, -4769761, -4769768, -4769777, -4769788?\nAnswer: -4769801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -2*m**5 + m**4\/6 - m**2\/2 + 4*m. Let r be v(1). What is the units digit of (2\/(-3))\/(2\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 - 157 = -27*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - 1. Let n(v) = v**3 + 16*v**2 - 144*v + 2. Let j(z) = n(z) + 2*p(z). Find the second derivative of j(f) wrt f.\nAnswer: -6*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -5*l + 1673. Let n = -254 + l. Is 103 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3467\/6 - 1203\/2. Calculate the common denominator of x and 13\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -0*h + h + 6, -3*h = 2*l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 671*d**5\/10 - 1835*d**4\/12 + d**2 + 16*d - 31. Find the second derivative of b(y) wrt y.\nAnswer: 8052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 45*o**4 - 21580*o**3 - 9715*o**2 + 55250*o - 24000 = 0.\nAnswer: -2, 5\/9, 1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008024443856 to six decimal places.\nAnswer: -0.000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 746 + -258. Let w = -2432\/5 + i. What is the second smallest value in -3, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2.7, 31, -1234 in decreasing order.\nAnswer: 31, -0.4, -2.7, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847 and 270858434.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221121100 - 212212?\nAnswer: 220201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 take away -4577.44692?\nAnswer: 4579.24692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 24 = -2*w. Suppose -4 - 2 = 3*l - 5*s, w = 4*s. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 18*b - 8. Let h be z(14). Let s = h + 69. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + -189. Let y = p - -204.4. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/4 - 12\/(-63). Let s(n) = -n**3 + 9*n**2 - 13*n - 5. Let u be s(7). Suppose -p - v = -6 + 1, 3*p + u*v = 10. Is p bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4c (base 14) to base 2.\nAnswer: 1001010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40895, -42575, -44255, -45935, -47615, -49295?\n\"Answer: -1680*s - 39215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 - 49536*q**3 - 149682792*q**2 + 22929499040*q + 23079132300 = 0.\nAnswer: -6265, -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691\/138*(-96)\/104?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -121, -169, -197, -199, -169, -101, 11?\n\"Answer: u**3 + u**2 - 72*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48271.49 years in centuries?\nAnswer: 482.7149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-8) + 3)*-2. Let p(i) = 2*i + 135. Let m be p(-67). What is the third biggest value in 2\/3, 0.3, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1193, 2657, 4393, 6401, 8681?\nAnswer: 11233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10074747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129\/5*r**2 + 12\/5*r - 3\/5*r**3 - 516\/5.\nAnswer: -3*(r - 43)*(r - 2)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p + 16. Calculate y(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/(-3)*(-4 + 3). Suppose 1\/2*d**5 + 0 - d**3 + 1\/2*d + 0*d**2 + y*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-6)\/(-9)*-3. Suppose -4*f + 5*z - 51 = 0, 2*f = -0*f + a*z - 24. Let u be 5 + -5 + 4\/f. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1065 and 4?\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, u: 1, z: 1, a: 4}. What is prob of sequence ua?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*l + 165*l = 16. Let n be ((-63)\/(-15) - 3) + l\/10. Solve -4*m - 2 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*1)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 152 + 154 + 18*q - 303. Let a(t) = -38*t - 7. Let u(d) = -3*a(d) - 7*f(d). Let m(v) = -3*v. Calculate m(u(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 426291409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k + 2*k)*(0*k + k**2 + 0*k + (3 - 3 - 2)*(-308*k**2 - 50*k**2 + 75*k**2)) to the form i*k**3 + j + v*k**2 + b*k and give i.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j**9*j)\/(j**(-2)\/j)**(-2\/53))**37 assuming j is positive.\nAnswer: j**(13505\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 21802?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-8)*(-40)\/(-260)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) + -3 - (sqrt(304) - (1 + sqrt(304) + 0))**2)*-5.\nAnswer: 20 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1998.2 (b) -0.2 (c) 29\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/7350)\/((-320)\/100)*8\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -669 - -674. Solve -p*v - 15 = 0, -v - 5 = q - 0*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 - 2307055*n**2 - 1011759*n + 5.\nAnswer: -24*n**2 - 4614110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 43 = 16. Suppose -a*h = -94 - 8. Let q = h + -21. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2545 + -2551. Which is the second biggest value? (a) x (b) -11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*d = 1082316. Suppose -3478450 = 6*l - 4*l + 3*k, -4*l - 4*k = 6956904. Let m = d + l. What is m rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10) + 3\/(-9)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 + 15*t + 10. List the prime factors of g(-14).\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133054644 and 6636.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a2 - 172?\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -4*x - 4*p, 3*x + 803 = 8*x - 3*p. Let g be x\/(-120)*(-6)\/4. Solve -g*u + 6*u = 5*h + 25, 3*h + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Let u be 5\/x*(-6)\/(-203385). Let i = u + 555935\/325416. Calculate the common denominator of 25\/7 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5993 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8357*j**2 - 9*j + 23. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-177)\/(-5) + 3\/5. Let f = q + -32. Suppose l + 3*l + f*d = 44, 0 = 5*l + 2*d - 40. Solve 3*o - 6 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let k(o) = 4*o**2 - 5*o + 9. Let m be k(-7). Let q = 1196\/5 - m. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1339 or -1340?\nAnswer: -1340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0334298*-0.346.\nAnswer: 0.0115667108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + 7*u**2 + (-2*u + 2*u - 2*u)*(1 + 2*u - 1) + 0*u**2 - u**2 + 2*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 11*w**2 - 12*w + 16. Give o(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/120 - f**4\/8 - 3*f**3\/4 - 25*f**2. Determine o, given that x(o) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = -0*o + 3*f, -3*f + 11 = o. Solve o*h + 2 = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*(-6950)\/25437*-61?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 10*h - 9. Let o be y(-9). Suppose o = n + 2*n + 3, -3*c - n = 31200001. What is c rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3604 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 8) to base 6.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = 4*f + p, -2*f + 3*p + 3 = 0. Let b = -126.3 + 126. What is the nearest to f in -0.2, b, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 420 = 3*q, 3*q = 2*q + 3*t + 129. Let g be (7\/(-14))\/(2\/32). Let f = q + g. List the prime factors of f.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + -3*-2*sqrt(1100)))**2.\nAnswer: 3840*sqrt(11) + 633664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**23*r)**30\/(r*r\/r**(2\/11))**22 assuming r is positive.\nAnswer: r**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4606, 446 in decreasing order.\nAnswer: 446, -2, -5, -4606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2818 - 23965\/33816. Find the common denominator of c and (30\/25)\/((-7)\/((-595)\/(-10))).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - 52*h + 680.\nAnswer: -4*(h + 10)*(3*h - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15777 and -34\/13147.\nAnswer: 207420219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + ((-7)\/(-42))\/((-106)\/18444)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100\/(-5)*4\/(-16). Suppose 5*r = -p*f + 175, 140 = 12*f - 8*f + r. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 8*p + 7*p)*(-2*p - p + 4*p)*(-26 - 42 - 11).\nAnswer: 711*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*l - 834 = 272, 0 = k - l - 563. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/73 (b) 4 (c) 2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65316 by -6.\nAnswer: -10886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/2)\/(21\/42). Let c be 273\/(-28)*(-16)\/6. Calculate the greatest common divisor of c and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Let g = -14 + 6. Let p = 11 + g. Which is the nearest to 0.1? (a) -1 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153738 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/12 + 4*m**2. Let w(q) = q**2. Determine s(w(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 10*k + 3. Let z be y(0). Suppose b - 32 = -z*m, 6*m - 4*m = 3*b + 14. Solve -6*h = -4*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -864*c - 6*c**4 + 665*c**2 + 24644 + 599*c**2 + 968*c**3 - 1086*c**4 - 24516 + 196*c**5 = 0.\nAnswer: -1, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5 - 17, -5*z = -3*h + 9. Suppose 0*l = -z*l + 3*l. Let b be (-2 + 28\/6)*3. Solve l*m - b = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 77. Let o be i(29). Let c be 4\/o*(-4 + 5). Which is smaller: c or 18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -246, -493, -946, -1599, -2446, -3481, -4698?\n\"Answer: p**3 - 109*p**2 + 73*p - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = o - 2562, 4*i = -2*o + 5*o + 10262. Let h = i - 1035. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*y = -33 + 7, 5*j = 5*y + 5. Put j, -10, 2 in increasing order.\nAnswer: -10, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3008 less than -3007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n**2 - n**3 - 31*n**2 + 62*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - 201. Let d = n + 274. Solve d*o = 4*z + 19, 5*z = 3*o - 8 - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 80, 201, 370?\n\"Answer: 24*f**2 + f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-140 + 149 - ((-4 - -59) + 1)) + 9\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11874)\/4*40\/(-15). Calculate the greatest common divisor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from krrkrvrkkrkrppkpprkk?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -9*c + 9*c**2 + 2\/3*c**3 + 0. Let b be p(18). Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199095 - 97446 = -569*a - 85442. Solve 380*w + 9 = a*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2618\/204)\/(413\/(-354)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2255 by 1.\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 - -7.8. Which is the smallest value? (a) z (b) -2\/7 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3186288 to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 30 = 11*k. Is k at most as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 10494390*t + 10494388.\nAnswer: 2*(t + 1)*(t + 5247194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(176) + 0))**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2)*u)\/u*u)\/(u*u*u*((u**5*u)\/u)\/u))\/(u**(-1))**(8\/7))\/((u**0\/u)**(-2\/11)*(u\/u**(-1\/7)*u)\/(u**(-8)\/u)) assuming u is positive.\nAnswer: u**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 79.22?\nAnswer: 78.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09954908 rounded to 4 dps?\nAnswer: 1.0995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 97.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {r: 1, u: 1, i: 1, c: 3, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - ((sqrt(4) - sqrt(12)\/sqrt(3))*-6 - sqrt(4))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 99, 126, 153, 180?\n\"Answer: 27*x + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17688 divided by 2948.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -22021?\nAnswer: -22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 1960*z - 591. Calculate q(327).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l + 70. Let s be r(7). Solve x + 2*x = s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 114*f**2 + 1. Suppose 0 = -5*x - u + 3, 4*u + 10 = 2*x - 0*x. Let y be a(x). Let v = y + -56. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196016, -196068, -196120?\n\"Answer: -52*r - 195964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 104 + 44. Suppose 3*t + r = -30. Let u = -11 - t. Solve 3*j + 6 = -g, 3*g - j - u - 8 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139821670 by -445.\nAnswer: -314206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-2)\/(-8*(-1)\/(-2940))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 394337\/5 and 78866 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 2628*n**3 - 2634*n**2 - 2628*n + 2631 = 0.\nAnswer: -877, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*u + 4*x, 4*u - 2116 = -3*x - 2093 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*r - 2*r - 1.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 9*l - 4*l + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 10. Suppose 31 = 2*k - o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*b - 2*b + 22 = 0, 4*b - 25 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**4 + 15*g**4 + 7*g**4)*(43 - 8 - 12 + 28 + 39).\nAnswer: 1080*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3)*o**(-13))\/((o**8\/o)\/o*(o\/((o\/(o\/(o*o**(-1\/4))))\/o))\/o) assuming o is positive.\nAnswer: o**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -94. Suppose 2*s + 2*s + 3*a = -7, -3*s = -5*a - c. Find r, given that 3*r**s + 2 + r - 5*r - r**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17529960 * 39.\nAnswer: 683668440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/14 and 18534\/(-18660) + 10\/10.\nAnswer: 21770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -107?\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 300491202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c + 2. Let n be r(7). Suppose -36 = 6*w - 9*w - k, -2*w + 4*k + 10 = 0. Suppose 5*f + a = 15170, n - w = -a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:29 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -143, 46, 2\/21, -2\/17?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.2764*0.07\nAnswer: -0.089348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 393 = -3*n, -4*n + 79 = a - 5*n. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(333\/(-90))*(-8)\/8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -16, 11, -3 in ascending order.\nAnswer: -17, -16, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324357 and 4010232?\nAnswer: 44112552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 60*240\/(-1050)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -3.60492.\nAnswer: 4.325904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, y: 13, w: 5}. Give prob of sequence ry.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n + 5*n**2 - 15*n)*(-42*n + 40*n - 266 + 270 - 509).\nAnswer: -10*n**3 - 2525*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.35007 millennia in centuries?\nAnswer: 223.5007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -3935*h**3\/6 + 33*h**2\/2 - 3*h + 10. Is r(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 9*n = 36. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318 and 12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from cccccocccccccoco?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 628*p**3 + 3*p**2 + 44*p - 146. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1486 + -985. Let l = -1 + -3. Let i = m - l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 2063185*i - 2063190.\nAnswer: 5*(i - 412638)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Solve -3*m - 3*z + 3 = 6, 0 = j*z + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2162 + 118.2162. Which is the second biggest value? (a) 2\/7 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 216 = -5*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 436524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**3 - 374*z**2 + 43*z - 2409. Give y(-75).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*s**5 - 21*s - s**5 + 5*s wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83022 is divided by 2060.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -7. Let y = -5 - r. Solve -4*a + y - 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -14. Is u at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014262 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47783464 and 14016.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 + 9 + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n - 62. Let k be w(-5). What is the smallest common multiple of 4 and 120*((-68)\/k + -5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 48813070.\nAnswer: 97626140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15166, 61113, 137692, 244903, 382746, 551221?\n\"Answer: 15316*s**2 - s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 6. Let p be q(0). Let d(m) = -m**3 - 6*m**2 - m - 8. Let k be d(p). What is the tens digit of (-91)\/(-5) + k\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7891 and -0.5.\nAnswer: 1.39455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*w, 2*w + 2*w = -2*x. Which is the closest to -1? (a) -3 (b) x (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 300*q. Let n(i) = -638*i. Calculate n(s(a)).\nAnswer: -191400*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 167*(-68)\/(-10) + (-2)\/(-5). What is the derivative of -2*g**2 + 21*g**3 + 1037 - p + 2*g**2 wrt g?\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Let m(c) be the second derivative of -2*c**3 - c + 203. Calculate m(v(o)).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5248 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -23. Let b be 54\/15 + k - 3. Let o(n) = n - 1. Let x be o(4). What is the smallest value in x, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 + 3185*f**4 + 60140*f**3 + 189600*f**2 - 760000*f + 230000 = 0 for f.\nAnswer: -10, 1\/3, 2, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 6*y + 3. Let b(x) = x**3 - 7*x**2 - 17*x + 2. Let n = -64 + 73. Calculate the smallest common multiple of q(-4) and b(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 7*q**2 + 8. Calculate the remainder when 30 is divided by c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 13210010?\nAnswer: 13203331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 and 4\/(-20)*(6 - (-284)\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*u - 40, -7 + 31 = -u + 4*m. Let o = u - -9. Let s be -9*1*-3*(-5)\/45. Let c(y) = 4*y**3 - 3*y. Let h(z) = z**3 - z. Determine o*c(b) + s*h(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*p + 33 + 215*p - 24.\nAnswer: p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 3*p + 2*p - 6*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w - 74*w + 224*w - 82*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817701.\nAnswer: 1817701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 778, 1660, 2778, 4258, 6226, 8808?\n\"Answer: 21*t**3 - 8*t**2 + 759*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.5 - 14. Let f = u + -1.3. What is the third smallest value in -5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+1.74\nAnswer: -8.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 514.1? (a) -0.3 (b) 3\/8 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/6 + 77\/42 - -1850.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 13. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 118. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c + 56 = 0. Suppose -3 = 4*w - 15. Suppose 0 = -w*u + 8*u - 25. What is the remainder when c is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*w + 12 = 3*u, -4*u + 5*w - 27 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -13. Let y be (-58)\/(-6) - 4\/d. Suppose 0 = -3*v + y + 6. Solve r + 9 = 3*i, 4*r = v*i - 0*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + y)*(2 + 1 + 0)*(-1 - 7 + 3).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*2016\/(-108)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 19 - 13 - 3 + 2*c.\nAnswer: 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 + -339. What is the fourth smallest value in -2, 0.5, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9355, 9364, 9373, 9382?\n\"Answer: 9*u + 9346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69339 by 454.\nAnswer: -69339\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -43.9483.\nAnswer: 43.4483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*h = 15504 + 125477, 4*h = -4*z + 112784. What are the prime factors of z?\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, -25 = -3*s + 2*g + 20. Solve 5*t - 3*t + l - s = 0, 0 = 4*t - 3*l - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1665 = -3*t, -29 = s + 5*t - 554. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08356 + 0.11644. What is the nearest to x in -2, 1, 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - l + 6, -s + 0*s - l + 4 = 0. Let v be 1\/18*3 + (-3201)\/(-18). Let o = v - 175. Sort -4, o, s in decreasing order.\nAnswer: o, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1070\/963)\/(2\/(-18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y. Let x = 6 - 6. Suppose x*m = -m. Are y and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/((-25)\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, -0.13, -1\/2.\nAnswer: -5, -2\/3, -1\/2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -82167684 divided by 643?\nAnswer: -127788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6*j - 609 = -5*j, -4*b = 5*j + 2440. What is the tens digit of (-2)\/(-6) + (-1 - b\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -29202\nAnswer: 1\/14601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15792\/448*(-2)\/(-78) + 4\/(-26). What is the closest to 9\/2 in 3, l, -1.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 28164*d**2 - 2244417*d + 6986646.\nAnswer: 3*(d - 9467)*(d - 3)*(d + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 130 = 3*g, 2*g = -r + 2*r - 27. Is 30 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-552)\/90)\/23*870\/(-4)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 99?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6296.735164 rounded to the nearest one hundred?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 2, 0, -6, -16?\n\"Answer: -2*p**2 + 8*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172950 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 64, -2, -1 in increasing order.\nAnswer: -2, -1, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**6 + 32*u**2 + u.\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5891\/8990?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.735ml to litres.\nAnswer: 0.950735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 - 59 + 59.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9996165 rounded to 2 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138334 is divided by 695?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 62*p + 88. Let r(a) = -86*a - 133. What is -7*q(b) - 5*r(b)?\nAnswer: -4*b + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w - 71*w + 24 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 2\/(-4). Let a be (-2)\/(-6) - y\/3. Let m(v) be the second derivative of -v**5\/20 - v**4\/12 + 5*v**2\/2 + 8*v. Calculate m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 3*j + 0*j + (-2 + 1 - 1 + (2 + 0 - 3)*(-5 + 1 + 5) + 6 + 0 - 4)*(3 - 3 - 2*j) to the form w + c*j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-8) - 450\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 1. Let n(s) = -2*s**2 - 3*s - 8. Suppose -5*q + 1 = -4*l, -2*q - 24 = 4*l - 2. Let y(o) = q*z(o) - n(o). Calculate y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 380. Give o(-35).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 673*w**3 - 9933*w**2 + 41503*w - 32242.\nAnswer: -(w - 658)*(w - 7)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1988*h**2 + 79520*h - 7. Determine g(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -1. Let l = -0.171 + 0.171. Which is the third smallest value? (a) l (b) k (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.1, -1\/5, 8\/3 in ascending order.\nAnswer: -1\/5, -0.1, 5\/3, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11328*d**4 + 5559*d**4 + 4733*d**4 - 207 wrt d?\nAnswer: -4144*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33267611849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11661*-27.32\nAnswer: -318578.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xuuuxxaauuuaa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 1 - (9 - 10). Solve -c = -t - 2 + 7, 4*c + 16 = f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18812333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*l - l + 0*l)*(4 - 3 - 2 + (4 + 0 - 3)*(3 + 9 + 7)).\nAnswer: -18*l - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148410\/111307 - 2\/333921. Factor -h*b**3 - 2\/3 + 0*b**2 + 2\/3*b**4 + 4\/3*b.\nAnswer: 2*(b - 1)**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + 4*h**2 - 4*h + 4. Suppose 0 = -2*f + 4 - 14. Let d(r) = -7*r**3 - 5*r**2 + 5*r - 5. Determine f*x(k) - 4*d(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8349445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29295.843 minutes?\nAnswer: 488.26405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 10*h**2 - 4*h + 4. Suppose 2*j + 507 = 489. What is m(j)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/18 + 5*t**2\/2 + 28*t\/3 - 1277. Factor m(l).\nAnswer: (l + 2)*(l + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**3 + k**2 + k - 1. Let a be g(-1). Let v(u) = -33*u - 1. What are the prime factors of v(a)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1496, 1479, 1470, 1475, 1500, 1551?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 + 8*q**3\/3 + 11*q**2 + 107*q - 165. Let l be h(-7). Let i(r) = r**3 - r - 3. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f. Let w be 0 + 18\/(3\/(-1)). Let c = 11 + w. Let l(i) = i. Give c*l(v) - u(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*j - 34. Let k(p) be the second derivative of 0*p**2 - 1\/35*p**j + 0*p**3 + 0 + 2*p + 1\/42*p**4. Suppose k(a) = 0. Calculate a.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuyyuyuvuyufu. What is prob of picking 1 v and 1 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(16\/12 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - (39 - (-7 + 49) - 37)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-857 + 1946 + 2396)*(-w + 4*w - 5*w).\nAnswer: -6970*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100010111 + -111?\nAnswer: -110100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20930564*x**5 + 2442021*x**2 + 2 wrt x?\nAnswer: 1255833840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*d + 50 = 0, -4*s + 0*d + 64 = -4*d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11716 and 25856?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 966\/805 + (-26)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 33*w - 283. Let i be v(-7). Suppose -65*l + i*l + 406163 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x - 20. Let m be o(-4). Let z = 13 - m. Suppose -3*v - 52 = -z*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -35. Suppose -x = 2*h - 4*h. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 2*p - 516, -4*p - 510 = c. Let b be c\/(-63) - (-6)\/(-21). Let k = b + -4. Solve -k*m = -4*s + 28, -m = 3*m + 5*s + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/7)\/(q\/q**(-6\/7))*(q*q**(-2\/3))**(22\/7) assuming q is positive.\nAnswer: q**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -45*u. Let n(t) be the third derivative of -t**4\/8 - 344*t**2. Calculate n(k(q)).\nAnswer: 135*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-2*r**2 + 5*r**2 - 2*r**2).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/11, 4, -4\/3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from sspisii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405472346 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 211022103 (base 4) to base 2\nAnswer: 100101001010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38899, 38901, 38903, 38905, 38907, 38909?\nAnswer: 38911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6427, -6426, -6425, -6424, -6423?\n\"Answer: n - 6428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h**2 - 11*h + 28. Let x(t) = 8*t**2 + 7*t - 14. Let o(r) = -3*i(r) - 5*x(r). Let l(m) = m**3 - 5*m**2 + 5*m + 29. Determine 2*l(j) + 5*o(j).\nAnswer: 2*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 40. Let i be n\/(-3) + 16\/(-24). Solve -i*b - 2 = 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 2. Suppose 3*x = -11*q + 6*q + 26, -15 = 5*x. What is k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 7\/6*h**3 - 7\/24*h**4 - 7 - 2*h**2 + 1\/60*h**5 + 0*h. Let l(n) be the second derivative of t(n). Determine l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -195\/4, 1, 2, -1\/31, 12?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(968)*2)**2.\nAnswer: -11616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14828 divided by -1.\nAnswer: 14828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.39 times -0.53?\nAnswer: 428.9767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24624010633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -16. What is the least common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - (-46 + 39)) + -16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 4:15 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**24\/(z*z*(z\/(((((z*z*z*z**1)\/z)\/z*z)\/z)\/z))\/z)**(-5)*(z*z*(z*z**0\/z)\/z)**16*(z\/(z\/z**3*z))\/(z**(4\/9)\/z) assuming z is positive.\nAnswer: z**(1052\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5 + 5)*(-5*c - 3*c - 1 + 6*c) + c - 3*c**2 - c.\nAnswer: -7*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(500).\nAnswer: -6 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*c - 39024 = -58*c. Suppose 2*r = -2*r + 32. Calculate the highest common divisor of c and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1262\/(-90) - 180\/12.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*m - 297 = -161*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 23*a**5\/20 + 17*a**4\/12 + 7*a - 26. Let g(l) be the first derivative of k(l). What is the third derivative of g(n) wrt n?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((392\/231)\/(28\/(-42)))\/((-5)\/55)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/11)*x)*x*x\/(x\/((x\/(x\/((x**(7\/5)*x)\/x*x)))\/x)) assuming x is positive.\nAnswer: x**(142\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 15*y**2 - y - 9. Let t be p(-7). What is the common denominator of 43\/36 and 3474\/t - (-2)\/1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10130\/3 smaller than 3377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 19*s - 6*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = 5 - 73 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - 4. Let a(n) = 1. Calculate -a(c) - y(c).\nAnswer: -4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 41*p**2\/4 + 12985*p\/8 + 103581\/4 = 0?\nAnswer: -11509\/82, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4171973 + 296290 = 51*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11056 + 11055.78. Which is the closest to 0? (a) 7 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g + 7*g - 27865 + 27865.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-16))\/(6\/(-24)). Let b be 95*(897 + 9 + (i - -4)). Suppose -15050 - b = -2*h + 5*a, -2*a + 101398 = 2*h. Round h to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/30 - a**2. Let t be (-8)\/(-12) - (-61)\/3. Let r(j) = -3*j**2 + 8 + 13 - t. Give r(g(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -47*x - 931. Let i be v(-21). Solve q = 15*q - i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4898\/36 + 190\/(-3420). Calculate the highest common factor of h and 6086.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u - 69. Let y be v(7). Suppose y*d + 27 = -45. Does 21 divide -85*(28\/(-10) + d\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000756 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 16 = 258. Let k(g) = 3*g**3 - 7*g**2 + 19*g + 22. Is k(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 53597.15.\nAnswer: -4823.7435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.394702 litres in millilitres?\nAnswer: 394.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/(-620))\/((-6)\/(-10)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38*t. Let s(k) = -936742*k + 1. Determine s(j(c)).\nAnswer: -35596196*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + (-28)\/8. Suppose -6*w = -4*w + 8. Suppose 27*o - 22*o = -5. Sort s, w, o in decreasing order.\nAnswer: o, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 4, s: 2, a: 5, m: 1}. What is prob of sequence rais?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31275861 less than 31275862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - 6*r + 1. Let v be f(4). Let c(a) = 4*a + 3 + 1 - v. What is the remainder when 11 is divided by c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-21)\/(-49) - (-75)\/21 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 3*n + 9. Suppose 5*g + 108 = 83. What is t(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, u: 6, n: 4}. Give prob of picking 2 n and 1 e.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*p - 2743 + 653. Let w be 0*1\/(-1) - -4. Suppose 0 = -h + 4*h + s - 13, -p = -w*h + s. Which is the nearest to -1\/3? (a) h (b) -1 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/120 + c**5\/12 - c**4\/12 + c**3\/2 + 20*c**2. What is o(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from fkffkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2. Let v(t) be the first derivative of -t**3 + t**2\/2 - 283*t - 4802. Give v(k(l)).\nAnswer: -12*l**4 + 2*l**2 - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/139 or 0.0939?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6900, -3, 83, 14 in decreasing order.\nAnswer: 6900, 83, 14, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -44*a**3\/3 - 8*a**2 - 70. What is the second derivative of k(m) wrt m?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (56\/(-6))\/(8\/(-12)) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 17*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5499147, -5499156, -5499177, -5499216, -5499279, -5499372, -5499501, -5499672?\nAnswer: -5499891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 1760*n**2 - 7100*n + 7120.\nAnswer: 5*(n - 2)**2*(n + 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (27 - 17 - 37).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let u(m) = 25*m + 17*m + 24*m - 48*m. Calculate u(g(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 10849902.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 93059*u - 930594\/5.\nAnswer: (u - 2)*(u + 465297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqtttlcllklltll. What is prob of picking 2 l, 1 q, and 1 c?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4434*z. Let d(k) = -50*k**2 - 508. Give w(d(n)).\nAnswer: 221700*n**2 + 2252472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h*h**(-3\/5)*h*h*h**12\/h)\/((h\/(((h**3*h)\/h)\/h))\/h)**(-2\/31) assuming h is positive.\nAnswer: h**(2677\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -71*c - 3. Let f(g) = -283*g - 12. Give -9*b(h) + 2*f(h).\nAnswer: 73*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/3*(4 + -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m - 56. Let r(p) = -11*p**2 + 57*p + 149. Let g be r(7). Suppose -m + 5 = g*j. Are j and -16\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5, -o - 3*o + 35 = -3*z. Let b be (1 - (-6)\/(-4))*0. Sort 4, o, b.\nAnswer: b, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:43 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2678618 and 1648?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 (base 6) in base 2?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853.596 kilometers in millimeters?\nAnswer: 1853596000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 126*x - 1. Is s(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j**3 - 1. Let c be a(1). Suppose -v + 9 + 3 = 0. Let p = c - v. Calculate the lowest common multiple of 11 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*d - 1293*d + 373*d = 446*d - 156646 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 4*c**2 - 28*c + 77. Let n be z(3). Solve -n = -3*m + m + 2*p, 2*m = -4*p - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-4)\/(-2) + -3). Suppose y*m = -4 + 79. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -36, -10, -2\/3, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**4\/36 - 5*q**3\/27 + 7*q**2\/18 - q\/3 + 3. Factor z(h).\nAnswer: (h - 3)*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 481, 338, 55, -416, -1123, -2114, -3437?\nAnswer: -5140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4 + 4*j + j**3 - j**3 - 3*j**2. Let a be d(-3). Let k be 92\/(-6) + 4\/12. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -743.19 rounded to the nearest integer?\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6652 (base 10) to base 3\nAnswer: 100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u + 13 - 8*u**3 - 4*u**2 + 8*u**3. List the prime factors of g(-6).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(1584) + 3 + sqrt(1584))*-2)**2 + (-5 + ((sqrt(165)*-1 - sqrt(165) - sqrt(165))\/sqrt(3))\/sqrt(5))**2.\nAnswer: 606*sqrt(11) + 25502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)\/t*t**(-1\/10))\/(t*t**8*t*t*t*t**6) assuming t is positive.\nAnswer: t**(-351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 4. Let n(o) = -7*o + 325. Give -5*m(k) + n(k).\nAnswer: -2*k + 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 555096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 12. Let t be l(0). Let f = t - 3. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1191 + 4?\nAnswer: -118b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13\/4 (b) -20 (c) 2\/7 (d) 0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1567575 + -36?\nAnswer: 156753a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 15\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672936 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -68.\nAnswer: -11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) + 2))*-5 - ((sqrt(19) - (-1*sqrt(76)\/sqrt(4))**2) + sqrt(19))*3.\nAnswer: -6*sqrt(19) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-20)\/(-4))*1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -537. Suppose 0 = 3*y - 110 - p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -109.999913. Round q to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348523 is divided by 174260.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - -8*(-319)\/(-696). Let x(a) be the third derivative of 0*a**3 + k*a**2 + 0*a + 3 + 1\/96*a**4 + 1\/240*a**5. Factor x(l).\nAnswer: l*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 4*r - 3. Let p(d) = -d - 4. Let o be p(-7). Let l = 1 - o. Let h be (1 + 0\/1)*l. Give j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, 78, -3, 6 in ascending order.\nAnswer: -6, -3, -2, 4, 6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 + 7*b**2 - 7*b + 25. Let p(j) = j**3 - 2*j**2 + 2*j - 8. Let q = 599 + -606. Determine q*p(c) - 2*f(c).\nAnswer: c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - d. Let r = 2 + -1. Let h be f(r). Suppose -5*c - h*k + 614 = 0, -c + 2*k + k = -112. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 13*c - 18. Let y(b) = -b**3 - 2*b**2 + 5*b + 4. Let n be y(-4). Does 5 divide l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (9 + (-4 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 117 = -663. Suppose 3*b - a = -2*b. Calculate the lowest common multiple of 5 and 37\/13 + 12\/b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -110 - 560. Suppose 0 = 138*r - m*r - 52. Find the second derivative of 34*l**2 + 98*l - r*l**2 + 12*l**2 - 64*l wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkfkddkkkddkfkkkd. What is prob of picking 2 k and 1 d?\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -y + 16, -n + 50 - 38 = 5*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, f: 1, r: 2, j: 3, i: 3, m: 2}. Give prob of picking 1 j, 2 i, and 1 m.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373203 is divided by 12765?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:36 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98148.99 + 21809841.99. Let k = 21711705.100079 - p. Let f = k - 12.1. What is f rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 47219, 1, 3, -2, -4 in ascending order.\nAnswer: -15, -5, -4, -2, 1, 3, 47219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 2*sqrt(68))**2 + 3 + sqrt(153) + (sqrt(68)\/sqrt(4)*-2 - (sqrt(459)\/sqrt(3))**2).\nAnswer: sqrt(17) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h - 3. Let g(k) = -k**3 - 35*k + 18. Give -g(u) - 6*i(u).\nAnswer: -5*u**3 + 41*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1419, -1.5, 1\/4, -0.4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-8))\/((-6)\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 85*l + 236*l - l**2 - 90*l - 24 - 89*l. Give t(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -559 + 562. List the prime factors of (-1)\/(-2)*(27*82)\/h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Suppose 12 = 4*n, -5*o - n - b = -8. Suppose 0*m**2 + 4*m**2 + o*m**2 - 7*m**2 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1, -47*y + 43*y + 172485 = d. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048609141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzww. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 3, o: 1, r: 6, w: 3}. What is prob of sequence wo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1\/4, -138\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 + s**3\/2 - 3*s**2 + 2*s. What is the tens digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4. Let z be w(-2). Let r be z + (-3 - -7) + -3. Solve 2 = y - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-187)\/(-33))\/((-4)\/12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 + 5*m**4 + 2*m**4 + (-m**3 + 2*m**3 + 0*m**3)*(3*m - 3*m - m) + m**4 - 3*m**4 + 0*m**4 - 21*m**4 + 16*m**4 - 21*m**4.\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 - b**2 - b + 0*b**2 - 3*b**3 - 5 + 4*b**3. Let i be s(0). Let n = 2 + i. Solve -5*o - 2*t - 9 = n, -4*o - 2*t = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58\/3 of a year?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -59*z - 2. Let c(a) = -29*a - 1. Let f(w) = 13*c(w) - 6*o(w). Let b be f(-2). Suppose -4*g + b = g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142200 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 0 - (-55 + -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1247 and 1245151.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-441)\/(-90) - 5)\/((-4)\/30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 334318 + -88260107\/264. Calculate the common denominator of -167\/84 and s.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*u = 10, -3*m - 700*u + 698*u + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 108. Suppose -2*y - 95 = 3*o, o + 14 + 13 = -3*y. Let c be l(o). Solve c*p = 12*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*o**2)*(-2 - 2*o + 2) + (-o**2 - 2*o**2 + 2*o**2)*(o + 0 + 0).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 = -4*y - 14, -5*n + 7 = 4*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {b: 4, w: 3, p: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -499998*x**3 + 2. Let n be l(-1). Let o be 0 - 0 - (-8 - -2). Suppose n = -k + o*k. Round k to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + b + 27 = 0, 4*t + 3*b + 2 - 16 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -31204*l. Let o(p) = -256*p**2. Give q(o(h)).\nAnswer: 7988224*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*j**2 - 131*j**2 - 69*j**2 - 145*j**2 - 133*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-4) + 260\/80. Which is the smallest value? (a) x (b) -3\/5 (c) -431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.1, -0.4, 1.4, -31, -8?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162432.\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4883 and 1028?\nAnswer: 19532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*y - 5*y**2 + 2*y**2 + y**2 - 56*y - 6997.\nAnswer: -2*y**2 + 65*y - 6997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17947564 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -21*k**2 - 28. Let r(g) be the first derivative of -g**3\/3 - g - 40. Determine 28*r(h) - u(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, 0, -37, 45, -3 in ascending order.\nAnswer: -37, -4, -3, -1, 0, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 - -6 - (-31 + 26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o**2 + 6*o + 6. Let g(k) be the first derivative of -10*k**3 - 4*k - 2 - 3 + 13*k**3 - 2*k**2. Let p = 11 - 16. What is p*z(f) - 7*g(f)?\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/(-12) - (-2)\/(-8) and ((-2)\/16 - 0)*(-752)\/(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/80 and 31\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (48\/(-456) - (-74)\/(-19)). Let l be 4 - ((-285)\/(-25) + -2). Is i at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 989, 990, 991, 992?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**2 + 5*f**2 - 2*f**2)*(-6 + 14 - 41) + (-15*f + 4*f + 33*f)*(-3 - 2*f + 3) as u*f + s*f**2 + p and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 30023, 4, 0 in decreasing order.\nAnswer: 30023, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18947624?\nAnswer: 2, 829, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.3. Let k be (-7)\/(-21)*(10\/8 - 2). What is the second biggest value in -1, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3817 - 40430 = -t - 46*t. Calculate the highest common divisor of t and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(833) + -2 + 3*sqrt(833))**2*-6.\nAnswer: -481572 + 14112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:25 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 59*l = 15*l + 27930. Calculate the smallest common multiple of 380 and l.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/3 + (-5)\/(-15). Let f be y\/5*(-205)\/(-2). Suppose -4*v = -f - 2. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 10\/1322837?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 25*g**2 + 2*g - 1. What is y(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 23, -3 in decreasing order.\nAnswer: 23, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146870000 rounded to the nearest one million?\nAnswer: 2147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -3, -1334 in decreasing order.\nAnswer: 31, -3, -1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g**2)*(3*g - 3*g + g**3) - 1288*g**5 - 3824*g**5 + 971*g**5.\nAnswer: -4143*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/8 + p**3\/2 + 4*p**2. Let f(j) = j**2 + 13*j + 13. Let i(o) = 6*f(o) - 26*t(o). Let w(s) = -s**2. Calculate i(w(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 336\/(-224)*(1\/(-1) - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2\/4 + 7965*y + 926463\/4 = 0.\nAnswer: -29, 10649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 6 = 3*o. Calculate the highest common factor of 22 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 - 8*b - 3. Let c be o(-7). Suppose -c*k + 372 = -49*k. Does 51 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 + 0 = 5*f, 5*x + f - 23 = 0. Suppose 0*w = x*w - 90. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m + 1. Let o be t(0). Suppose -4*j - 5 - 17 = -3*h, h = -j - 2. Let x = o - j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6573197*r + 721264 with respect to r.\nAnswer: -6573197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372223958*b - 686112009*b - 686111934*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001511194 rounded to six decimal places?\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-3) + (-3)\/((-9)\/2). Is u >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**3 + j**2 - 1. Let f be c(1). Let m(r) = r**3 + 9*r**2 - 11*r + 10. What is the units digit of m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.904 + -0.004. Is a < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4399 + 6?\nAnswer: -b4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-6) + 1\/4. Let t = -27.07 - -27. Which is the second biggest value? (a) z (b) t (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 22*q**2 + 262*q - 1167. Give u(4).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6167044 - -0.2848.\nAnswer: -6167043.7152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5 + 24414*q**4 + 1018944*q**3 - 9324192*q**2 + 19430400*q = 0.\nAnswer: -8096, -50, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*w**3 - f**2*w**2 - 256*f**2 + 16685439*f*w**6 - 51*f*w**2 + f*w + 9*w**2 wrt w?\nAnswer: 6*f**2 + 2002252680*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*t + 6*o + 3253, 5*o = 3*t - 4892. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004493 rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f. Let w(v) be the third derivative of 0*v + 7*v**2 + 0*v**4 - 2\/15*v**5 + 0*v**3 + 0. Calculate w(s(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-6)\/10 - (-9)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 2*r - 129. Let n(k) = -695*k**2. Give g(n(x)).\nAnswer: -966050*x**4 + 1390*x**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 6*z**2 + 3*z - 4. Calculate g(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 18 (b) -2 (c) 3\/428 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.018 + 70. Let o = -0.0203 - w. Round o to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Suppose -4*p = -3 - 5. Suppose t**p + y*t - 2*t - 4*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1429\/5 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 145796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 58. Let q be (296\/185)\/(2\/f). Calculate the highest common factor of 54 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - w - 1)*(12 + 10 - 26)*(2 - 6 + 2) in the form m*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 5*s**4\/12 - 20*s**3\/3 - 45*s**2\/2 + 266*s. Factor j(o).\nAnswer: 5*(o - 9)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**7\/42 + n**4\/6 - 6*n**2. Find the second derivative of m(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 28 + 7\/2*a**2 + 16*a. Let z be k(-2). Let g(m) = 2*m. Give g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3450, 6901, 10352, 13803, 17254?\n\"Answer: 3451*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - 8\/(-3). Let j(r) = -r + 4 + 6*r - 4*r**2 - r**f - 2. Let z = -10007 + 10002. Determine j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17040 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(76) + sqrt(76))*-1)\/(sqrt(20)\/sqrt(5)*-5).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - z)*(-77 + 27 - 1)*(-4*z - z + 3*z)*(-2 + 0 + 5).\nAnswer: 612*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/2 + -1 + -2. Differentiate 0*c**4 - 2*c**4 - 2 + r*c**4 + 1 with respect to c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 381977629159?\nAnswer: 381977629158.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**5\/12 + 19*u**4\/24 - 19*u**3\/6 - 16*u. Let b(x) be the second derivative of h(x). Differentiate b(q) with respect to q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5697900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/25)\/(n*n**(-2)))\/(n**(-1\/3)\/n**(-12)) assuming n is positive.\nAnswer: n**(-806\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z**2 + z + 5. Let k be 51\/(-9) + (-2)\/(-3). Let l be q(k). What is l rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. What is the nearest to u in -0.5, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-15)\/9)*10*1\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -41*a**9\/84 - 21*a**5\/5 + 4*a**2 - 17. What is the third derivative of w(k) wrt k?\nAnswer: -29520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 182908*q + 0*q**2 + 0*q**2 - 182911*q - 878 in the form b*q**3 + r + d*q + k*q**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 886.0134 millennia?\nAnswer: 88601.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3 - 13. Suppose -j*w = -3*w - 3*q - 9, 0 = -4*q - 16. Solve -w = -h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = -s. What is the tens digit of 6*20\/8 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) 363 (c) -0.1 (d) -0.093 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.009, 33, -1.12?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 11*s + 83. Let f be u(-16). Solve q + 4 = -z - z, -3*z - 6 = f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/14)\/(39\/2)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3)\/(-3) + -30002. What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y\/(y**(2\/5)*y))**(-42) assuming y is positive.\nAnswer: y**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**4\/4 + 32*s + 26. Find the first derivative of n(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/19561 and 36\/90233.\nAnswer: 2797223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -662 - 11?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisgalgglggtlligll. Give prob of picking 1 a and 3 i.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(70\/28 + (-1)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 14826?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*l**2 - c**2*p + c*l**3 - 21*c*l*p + 4*c*l + 2*c*p - l**2*p wrt l.\nAnswer: -6*c**2 + 6*c*l - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 662, 955, 1250?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*z = -43, t + 3*z = -0*z + 9. Suppose 2*s + t = -5*a, a + 7 = 3*s - 2*s. Let r(m) = -m - 1. What is the units digit of r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 830826 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + 12\/9. Suppose -i*z = -0*z - 54. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - -462. What are the prime factors of l?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134737457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 2367290578\nAnswer: -2367290578.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (4 - (5 + -3 - -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2263850 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 22*y**2 + 9*y - 4. What is the tens digit of j(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*x - 159227 + 183721 = -134*x for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 11) to base 7\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 275575466 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 = 2180*j - 2305*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3\/19, -69, 11, 1?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - x + 14768, 70*s - 68*s - 14768 = -5*x. What are the prime factors of s?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-570)\/(-19)*(-6 + 1878\/312). Which is the nearest to -1? (a) 2 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 108\/24*8\/(-6). Let t = -5 + 9. Solve -x - d = -t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1634\/3 + -6539\/12. Is 1069\/5 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-2)\/(-4 + 10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let j be f(0). Let y = j + 1. Let r be -10 + (8 - (-56)\/35). What is the closest to y in 1, 2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3680974 is divided by 1003.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2 + 27 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 894239928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 303 - 553 + 250 + 55*f. Let i(o) be the second derivative of -o**4\/12 - o. What is i(q(d))?\nAnswer: -3025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f)**(16\/7)*((f**(2\/3)\/f)\/f)\/(f**(-7)\/f)*((f**(-1))**5)**(-6) assuming f is positive.\nAnswer: f**(4426\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13588.33844 rounded to the nearest one hundred?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 46 = 16*t. Let l(k) = -k**3 - 5*k**2 + 12*k + 2. Let j be l(-7). Let q = -13 + j. Solve -q*p - 25 = t*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/18)\/(2\/(-3)). What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 579, -4, 1, 6 in descending order.\nAnswer: 579, 6, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.185 greater than or equal to 18123\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 812 and 177596?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -0.06?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604107.1nm to kilometers.\nAnswer: 0.0000006041071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4240 + 6\nAnswer: 4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7 + ((15 - 11) + 5 - -2))) + -27\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 52\/20) + 186\/(-15). Let t be (-1)\/((-4)\/(v\/3)). Which is the closest to t? (a) 0.5 (b) -2\/45 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 24. Let y be 87\/(-9) - (-6)\/(-18). Let m be s(y). Suppose 4080 = -2*u + 5*v, 0*v = m*u + 4*v + 8160. What is u rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53088073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (-410)\/20)*-6 + 1 + -18.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*12\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2797867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*4)\/sqrt(8) + sqrt(28) + -2.\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 2 - 377*i**3 - 2*i**4 + 377*i**3 + 2*i in the form y*i**4 + x*i**3 + u + j*i + t*i**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 649*x. Let v(u) = -76*u. What is s(v(n))?\nAnswer: -49324*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170) - sqrt(170)*-1) - (4*(sqrt(170) - (sqrt(170) + (sqrt(170) - (5*sqrt(170) - sqrt(170))))) + sqrt(170)))\/(2*4*sqrt(1000)*1).\nAnswer: -5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 34*j + t - 3 = 0, -6 = 2*t. Which is the closest to j? (a) -7 (b) -2\/5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2715616 + 4.\nAnswer: 2715620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -207. Solve v - n*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 8*b + 17. Calculate w(10).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1884*t**2 + 65939*t + 32. Give s(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2123 + 2059*f**2 + 10*f**3 - 110*f + 110*f - 1993*f**2 wrt f.\nAnswer: 30*f**2 + 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 33*z = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 67 = 98. Let v(a) = -a**3 + 5*a**2 - 5*a + 3. Let h be v(3). Let r be (-6 + 1)\/(m\/h). Sort r, 0.3, 0.024 in ascending order.\nAnswer: 0.024, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = j, -2 = j + 3*n - 1. What is the highest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2765 - 829 + 1500 - 359)*(j**2 - j**2 - 3*j**2).\nAnswer: -9231*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.24? (a) -1\/2 (b) -3160 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 y when three letters picked without replacement from yzneoyynxynzoee.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405616, 811126, 1216544, 1621876, 2027128?\nAnswer: 2432306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 1, r: 10, v: 6}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007905070214 to 7 decimal places.\nAnswer: 0.0079051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u**2. Let m(y) = -39*y**2. Let b = -870 + 879. Determine b*j(z) + 4*m(z).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/33681 - -13035086\/2593437. Let j = 60\/11 - d. Find l, given that -15\/7*l**4 + j*l**3 + 15\/7*l**2 - 9\/7*l**5 + 0 + 6\/7*l = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 6 = 0. Let y be (0 - -2)*(6 - 2). Let v be (2 + y\/(-6))*-3. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 31*a**5\/20 - a**4\/12 + a**3\/6 + 3*a**2 - 35*a + 1. What is the second derivative of f(g) wrt g?\nAnswer: 186*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 7) to base 16.\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b + 1. Let m(j) = -5*j**2 + 2*j + 2. Let f(n) = -m(n) + 2*s(n). Let r(q) be the second derivative of q**3\/2 + 2*q. Determine r(f(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -12*r + 10*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14000200 - -1032?\nAnswer: -13444113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1863, 2861, 3867, 4887, 5927?\nAnswer: 6993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1912*4\/12. Let s = g + 37277\/10038. Factor -s*u**2 + 20\/7*u + u**3 + 8\/7.\nAnswer: (u - 2)**2*(7*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/((-133)\/(-2380)) + -7. Let f = a - -343. Let g(s) = -s**3 - 5*s**2 - 3*s - 2. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + -1)*18\/(-63). Let v(n) = 9*n + 5 + 4*n**3 - 7*n**q - 3*n - 5*n**3 - 16. Determine v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from gpsil?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 48. Let x be s(-8). Which is the second smallest value? (a) -2\/3 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6) - (-7)\/(133\/(-38)). Which is smaller: h or 0.68?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 29*n + 41. Let q be d(-13). Solve -q - 4 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l + 7. Let v(u) = 6 + 5*u + 0*u + 2*u. Suppose 8*a = 12*a + 20, 2*c - 3*a = 183. Let r be (5\/(-15))\/((2 - -2)\/c). What is r*v(b) + 6*j(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7982*q**2 - 1532*q**2 + 381*q + 384*q + 384*q - 1151*q)*(1 - 5*q**3 - 1).\nAnswer: -32250*q**5 + 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1768, -3514, -5246, -6964, -8668, -10358, -12034?\nAnswer: -13696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 65.3, 1.05 in increasing order.\nAnswer: -3, 1.05, 2, 65.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (76 + -81)*24228\/(-10)?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*x - 0*x. Let n(d) = 4*d - 26. Let p be n(-5). Let s = 53 + p. What is the remainder when x is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - 2*g - 3. Let f(t) = 4*t**3 + 3*t**2 + 3*t - 6. Let i be f(1). Let c(d) = 14*d**2 + 5*d + 8. Give i*c(h) + 11*y(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 + 1322*n**2 - 3940*n - 5264 = 0. What is n?\nAnswer: -1, 4, 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10366 divided by -2.\nAnswer: -5183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = 4*x - 11, -4*x + 14 = 2*m. Suppose 2*r - 78 = -4*s, 0 = -r - x*r + 2*s + 77. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3090, -3091, -3090, -3087, -3082, -3075, -3066?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p + 4*v, 3*v = 2*p - 0*p - 22. Suppose p*n - 3*o = -330, -n - 2*o + 262 = -5*n. Is (2\/(6\/n))\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -49\/3. Sort 1\/4, r, -5, 5.\nAnswer: -5, r, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 413 and 2.7?\nAnswer: 410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrrirririirwwrrrrw. What is prob of picking 3 i and 1 r?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 79 - 23. Let k = -14 + n. Suppose q + 2*q = -4*a - 10, -4*q - 3*a - 4 = k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 502 = 17*q. Solve -28 = -l - q for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 12*a - 46 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579853 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-8))\/(45 - (-6039)\/(-132)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*g - 8*i - 25, -4*i = -5*g + 23. Suppose -2*v + 3*r + 63 = 77, v + 6 = r. Put 15, g, v in descending order.\nAnswer: 15, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79934?\nAnswer: 2, 17, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122536?\nAnswer: 2, 7, 109331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/30 + f**5\/30 + f**4\/2 - 9*f**3\/2 - 25*f**2. Let o be k(6). Let a = o - 340. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -21*w**2 - 6*w - 30. Let k(h) = 174*h**2 - 6 - 47*h**2 - 43*h**2 - h - 47*h**2 - 41*h**2. What is 2*i(z) - 11*k(z)?\nAnswer: 2*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 - 10*k - 28. Let l be s(7). Let f = l - -72. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300497.\nAnswer: 300497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 4, 9, 8202, -4 in increasing order.\nAnswer: -5, -4, 0.1, 4, 9, 8202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*y + 222*y**3 + 16*y - 53*y + 15*y)*(1 + 0 + 4) to b + t*y**3 + x*y**2 + r*y and give t.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1955*i + 220717 + 23658 for i.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16120)\/90)\/(-13) + -14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-374)\/55)\/((-2)\/5). Suppose -56 = 13*t - m*t. Suppose 3*l = t + 61. Is 0 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 12 = -38*k + 18*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/7 + 4188*u + 29295 = 0.\nAnswer: -9765, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + 54. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2. Let c(y) = 2*y**2 - 4*y - 4. Let q(w) = -4*w**2 + 7*w + 7. Let l(j) = 7*c(j) + 4*q(j). Determine m(l(i)).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - -0.05. Let k = n - 0.3. Let s be 0 + 2 + 32\/(-18). What is the smallest value in k, 0.3, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78.94 and 0.7.\nAnswer: 55.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 933.5457 meters?\nAnswer: 0.9335457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16688\/2711739 - 315836897543\/99252359139. Let a = l - 1\/2153. Calculate the common denominator of 21\/5 and a.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 1\/6, 5, -1\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 + 21. Give k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4.05865*62\nAnswer: 251.6363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-12)*3)\/(3\/30). What is the nearest to 2\/9 in 3\/5, 0.3, -4, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -0.0053.\nAnswer: 22.9947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 994\/87 - 6697\/609. Find m such that 1\/7*m**2 - 4\/7*m + p = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.6938825 rounded to 0 decimal places?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13564593 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - b**3 - 8*b**2 + 5 + 1 + 0*b**3. Let u be (21\/(-9))\/(2\/6). What are the prime factors of d(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7733 (base 15) to base 4\nAnswer: -12022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*l + 3, -2*t = l + 4*l - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 237 + 245. What is the remainder when 127 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 453753.7 minutes?\nAnswer: 27225222000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 65 = 4*g + x, -3*g = -2*x - 98. Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -15752.262\nAnswer: -157522.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 28*j - 3780. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2772*n**2 - n - 21. Let r be b(-9). Suppose -r = -5*s + 4*a, 4*s - 2*a - 257492 = -77882. What is s rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/(-4)*1384. Let v = h + -70582\/51. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/3)*j**(-3\/7)*j*j**(-8)*(j**(-11)*j)\/j assuming j is positive.\nAnswer: j**(-331\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -19*k - 929. Calculate p(-41).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 5*l**8\/336 - l**7\/7 + l**6\/6 + 2*l**5 - 20*l**4\/3 - 57*l**2. Solve b(z) = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39144 is divided by 28365?\nAnswer: 10779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232 + -229 + (4 + -3 - (101 + 0))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 + 4 + 0. Let o(v) = v**2 - 2*v. Let d be o(x). Suppose -8 + 119 = d*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47670 = -18*p + 39*p. Let h be (4\/(-6))\/(1 - p\/2268). Calculate the highest common divisor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f**2 - 1532*f - 721. Determine s(-109).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 + ((28 - 17) + -25 - -2)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, r: 3, o: 1, g: 3}. Give prob of sequence brr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3\/2 + 39*x**2\/2 - 2524*x + 504 = 0?\nAnswer: -36, 1\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -626021 or -626085?\nAnswer: -626021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -130. Let d(i) = -4*i + 150. Let k be d(31). Let c = l + k. Solve 3 + c = 3*v + 3*r, -3*r - 3 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(-5 + (sqrt(245) - (sqrt(245) + (sqrt(245) - (2 + -1 + sqrt(245)) - sqrt(245))) - (sqrt(245) + -1 + -3))))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 794. Suppose 538 + p = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 1 in ascending order.\nAnswer: -14, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22009.6l to millilitres.\nAnswer: 22009600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -189 = -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 3.99.\nAnswer: -3.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) -1 (b) -6\/247 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/7 - 148046*a**2\/7 + 2739480182*a\/7 + 8219773014\/7 = 0.\nAnswer: -3, 37013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -1\/120*o**6 + 5\/24*o**4 + 0 - 2*o**3 - 3*o**2 - 3\/20*o**5 + 0*o. What is the remainder when h(-10) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) -18\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979382?\nAnswer: 2, 489691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18060040?\nAnswer: 2, 5, 29, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -7314 in descending order.\nAnswer: -3, -9, -7314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 49, -11.9, 111\/4.\nAnswer: -11.9, -2, -1, 111\/4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-31)\/((-186)\/1932) - -8 and 360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.51 + -2.91. Let u = 107.3 + -101. Which is the second smallest value? (a) t (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbyrpsr. Give prob of sequence drs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q + 0*q**6 + 0*q**4 - 10 + 0*q**2 - 17\/3*q**3 - 10\/7*q**7 + 0*q**5. Find the third derivative of l(m) wrt m.\nAnswer: -1200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-28)*58*-2. Suppose -2*d - q*d + 466705 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1461593 = t + o, -4*o + 8*o = -5*t - 7307961. Let r = t + 650240. Let q = r - -371349. What is q rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1055\/761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 17169 = -201095 - 294469. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 1\/27 (c) -1\/215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*q = -2*p + 34, 2*q = 2*p - 58. What is the remainder when 117 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-34 + 19)) + 9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9208157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f, -3*v - 3025205*f + 3025206*f = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 2. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616430 rounded to the nearest one thousand?\nAnswer: 616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 18*w - 15*w - s, -12 = 3*s. Which is the third smallest value? (a) w (b) -2\/7 (c) -1.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Let m(c) = c**2 - 7*c + 7. Determine m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -13 + 15 + (-4 - 23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 6) to base 2\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 50. Is (r + 3)\/2 - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 11*n - 3. Let z be q(5). Let l(y) = -y + 23. Let b be l(9). Suppose -12*k + b*k = -z. Which is greater: k or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 268, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.5 + 18. Let j = -13 + d. What is j rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(7*12\/(-126))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2 + 2)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 18 + -15 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e + 64e9?\nAnswer: 6557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**3 + 24*d**3 - d - 96*d**3 + d + 32*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 313.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2627, -10400, -23363, -41522, -64883, -93452, -127235?\nAnswer: -166238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 4. Suppose 5*c = -2*s + z, 3 = -2*s - 3*c + 11. What is the smallest common multiple of 22 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21275466 - -4?\nAnswer: -21275462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 - (-62)\/155. Sort v, -2, 4, -13 in decreasing order.\nAnswer: 4, v, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 2362 + 12898. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94815908?\nAnswer: 2, 11, 2154907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, g: 2, y: 2}. What is prob of sequence mya?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -500+0.02\nAnswer: -499.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 98. Let h be g(-35). Let c(k) = k**3 + 11*k**2 + 5*k + 28. Let w be c(h). Calculate the highest common divisor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 16 (b) 2\/7 (c) 38 (d) 1\/5 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -368, -723, -1220?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*n - 40. Suppose 5*v - n = -3. Solve -14*p + 13*p - v = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520 * -1\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 28)*3\/(-3). Let k = a - -42. Suppose 4*z - 3 = k. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31436089*n**2*r - 21*n*r - 5005*n - 1215*r wrt n.\nAnswer: -62872178*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*l. List the prime factors of l\/((2\/(-1))\/(-28)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (-5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (52 - 55 - (1 - 12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(66\/(-11)))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**3 + 13*g**2 - 42*g - 3. Let o(y) = -4*y**3 + 6*y**2 - 21*y - 2. Let d(x) = -6*l(x) + 13*o(x). Differentiate d(p) wrt p.\nAnswer: -12*p**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -46. Let m = p - 15.99885. What is m rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 2103586\nAnswer: -13\/2103586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = 4*h. Suppose -5*p + 5 = 5*s, 5*s - 4*p - 7 = -38. Let a be h\/s*3 - -3. Is 4 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 24. Let d = -4 - a. Let s(w) = -d*w**2 + 4*w**2 + 5*w + 3*w**2 - 2*w**2. Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 - 3. Let l be y(-6). Calculate the smallest common multiple of 1 + 0 - (l + -7) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 3.8. Let w be (39\/54)\/((-4)\/6). Let g = 3\/4 + w. What is the closest to g in j, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -389*p**2. Let s(c) be the first derivative of -c**2 + 138. Determine j(s(u)).\nAnswer: -1556*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 74\/(-3 + 4). Let o = n - -84. What are the prime factors of (-626)\/(-4) - o\/6?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:56 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -487. Let t = r + 342. Suppose -t = -4*z + 62. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2741 (base 13) to base 6.\nAnswer: 42022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/7 + 66*l\/7 + 40 = 0. Calculate l.\nAnswer: -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4355?\nAnswer: 3\/4355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103960?\nAnswer: 2, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 114*t**5 + 2*t**4 - 206*t**2 + 6*t + 2?\nAnswer: 240*t**3 - 6840*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 6. Let l be p(-2). Solve -10 = -4*y + 2*k, l*y - 11 = -3*y + 2*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36583350+30\nAnswer: 36583380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-16 + (-36)\/(-6)). Suppose -v*x + 0*j + 972 = 2*j, 968 = 4*x + j. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.890414+-0.4\nAnswer: -23.290414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = m + 3*m - 36, 4*l - 4 = 3*m. Suppose 2*z = -6 - l. Let h(n) = 2*n**3 + 5*n**2 + n. Let r(b) = -b**2. Give z*r(f) - h(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12797 - -12794. Let i(f) = -f + 2. Let w be i(4). Sort w, -21, t in descending order.\nAnswer: w, t, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952863?\nAnswer: 11, 177533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -183*1912\/12 + 57 + -53. Is p bigger than -29154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.775064 to 3 decimal places.\nAnswer: -0.775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222, -1227, -1234, -1243?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36910?\nAnswer: 2, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1643, -4, 17, 3 in decreasing order.\nAnswer: 17, 3, -3, -4, -1643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -476.5 - 8285.95?\nAnswer: -8762.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 14467 = 7*t. Let l = t - 282. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103774 or -103779?\nAnswer: -103774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*s + 956 = 110, 5*k + 3*s - 1051 = 0. Suppose -3*x - x + 76 = 0. What is the greatest common divisor of k and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903798 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 + 1\/84*j**4 + 0*j**5 + 0*j + j**2 - 1\/420*j**6 + 0. Factor i(m).\nAnswer: -2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(10\/11)*z))\/z)\/((z*z*z**(4\/17))\/z) assuming z is positive.\nAnswer: z**(-588\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 64*z**2 - 4*z - 5. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 3\/7, -2\/13, 12, -1.2454?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - -2.26. Let n = k - 2.1999725. Round n to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 31. Let i(o) = 2*o**2 + 20*o + 34. Let q be i(-8). What is the lowest common multiple of 3 and 5 - -4*d\/q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910249418.\nAnswer: 2, 13, 5881, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 36, 0.3, 0.2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8364 and 373796.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22137 and 332243?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 160 - 52 = -5*h, -106 = 3*g + 10*h for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 0*i**4 - 2*i**4)*(-62 + 52 - 2*i - 3*i).\nAnswer: 20*i**5 + 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 6*q**2 - 8*q + 9. What is k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85\/76 - 140\/19. Let z be 33*(-33)\/(-108) - 4. Let r = m + z. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 6*s**2 - 60*s. Suppose 0 = -t - 3, 3*g + 4*t + 8 = g. Let x(k) = 2*k**2 - 2*k. Let l(i) = g*o(i) - 6*x(i). Factor l(u).\nAnswer: 4*u*(u - 9)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913115412?\nAnswer: 2, 3, 11, 137, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1492855, -2985600, -4478345, -5971090?\n\"Answer: -1492745*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 3672*j**2 + 172676*j - 2043888.\nAnswer: 4*(j - 869)*(j - 28)*(j - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 376676161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 94*t**2 + 445*t.\nAnswer: t*(t - 89)*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21125, -21092, -21059, -21026, -20993, -20960?\n\"Answer: 33*c - 21158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -14044.\nAnswer: -2808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-7))\/((-16)\/2*(-16)\/16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)*z**(-1\/11)*z)\/(((z\/z**(4\/7))\/z)\/z**(-1\/9)) assuming z is positive.\nAnswer: z**(5438\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1535456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o)**(-2\/25)\/(((o\/(o*o\/o**18*o*o*o))\/o)\/o)**42 assuming o is positive.\nAnswer: o**(-63014\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 28414.\nAnswer: 11\/28414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 147.4. Let f = -19 + g. Let n = 0.6 - f. Which is the biggest value? (a) 5 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Let a = 8 - h. Let d be -2 + a + -3 - -35. What is the greatest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 - (3 + 34 - 96)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 j when four letters picked without replacement from {z: 3, c: 4, d: 1, m: 1, y: 5, j: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 409 (base 10) to base 15\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56092329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378)*1 + sqrt(378))\/sqrt(9))\/(sqrt(24)\/sqrt(4)*6))**2 - (-3 + 5 + (sqrt(63)*-2)**2).\nAnswer: -2279\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**3 + 3*o**3 - 4*o**3 - o**3 + 2*o**3 + 2*o**3 + (o - o - 2*o)*(o**2 - o**2 + 2*o**2).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiig. What is prob of picking 1 i and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1. Let t = -0.5 - z. What is the closest to 0.3 in 2\/13, -1\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67698, 135718, 204020, 272610, 341494, 410678, 480168?\n\"Answer: q**3 + 135*q**2 + 67608*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 1, o: 5, z: 3, r: 3, d: 2}. Give prob of sequence ddo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5 + 0*m**2 + 3*m**2 - 14*m - 22*m + 41*m. Let t(c) = 8*c**2 + 16*c - 16. Determine 16*o(g) - 5*t(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14478 and 1524?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1020\/5440)\/(-4*18\/(-672)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 9. Let x be p(-7). Suppose x*v = -5*m + 10, 11 = 4*m + v + 2*v. Suppose 4*r = 4*j + 2*r - 16, r = -m*j + 13. Sort j, -2, -3.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l)*(l - l + 2*l**3) + l**4 + 0 + 0 + 0*l**2 + 0*l**2 - 2*l**4 + 0*l**4 - 3*l**4 + 5*l**4 - 1364*l**4 + 1343*l**4 + 3*l**3 + 4*l**3.\nAnswer: -16*l**4 + 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)*b*b\/((b**(1\/2)*b)\/b)*b)\/(b*b*b**0)**(1\/4)*((b*b**(-3))**(-2\/7))**(-14) assuming b is positive.\nAnswer: b**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (89725\/(-2037) - 4\/14)\/((-39)\/(-117))\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:49 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 15 (b) 36\/11 (c) -576 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 82 - 1*0\/(-8 - -3). Is 4 a factor of v + -15*(-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*o**3 + 13*o**2 + 720*o**3 + o**2 - 14*o**2.\nAnswer: 955*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49787506117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:56 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 15, -4, 0, -0.9.\nAnswer: -4, -0.9, 0, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23680509.\nAnswer: 3, 7893503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2309082 minutes to milliseconds.\nAnswer: 13854.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 1. Let k(w) = -w**3 - 3*w**2 + w - 2. Let v(q) = k(q) + 4*r(q). Let f be v(-7). Which is the second smallest value? (a) f (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1842, 1816, 1790?\n\"Answer: -26*o + 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/7 + 174*s\/7 + 171\/7 = 0. Calculate s.\nAnswer: -57, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (-2 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1585.62 + 1560. Let b = a + 0.62. Let x = 25.012 + b. What is x rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98, -91, -70, -29, 38, 137, 274?\n\"Answer: i**3 + i**2 - 3*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - v**2 + 2*v**2 + (-3*v**2 + 2*v**2 + 0*v**2)*(-621 - 54 - 474 - 1392).\nAnswer: 2544*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)\/(-12*30\/120). Let b(m) be the third derivative of 1\/24*m**4 + 0*m + l - 4*m**2 + 1\/2*m**3 + 1\/60*m**5. What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -794\/15 in -3\/2, -1, -2\/11, 0.1, 27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 1ea56?\nAnswer: 1ea4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 73. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057643763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-8 + 12)) + (-23 - (-12 - -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-18)*m*m)))\/((m\/(m**23*m)*m)\/m))\/((m**(-4)*m)\/m)**(1\/10) assuming m is positive.\nAnswer: m**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8643*n = 20438*n + 12459*n + 194032 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.355 - -0.055. Let l = -3 - q. Let c = -0.1 + 0.2. Is l less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 147\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q - 4. Suppose 12 - 10 = -u. Let v be x(u). Let l = -2 + v. What is the least common multiple of l and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 13*h**2 + 11*h + 4. Let v be g(12). Let j be 84\/(-40) - (3 + v - -3). Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 164023*x**2. Let c(j) = -193*j**2. What is y(c(m))?\nAnswer: 6109692727*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 130*m**2 + m + 3*m - 4*m - m in the form j*m**2 + h + g*m and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20196 and 1224?\nAnswer: 40392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1316 + -34?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 36*o + 85. Let j be y(-38). Let a = j + 8. Calculate the remainder when 152 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + -4 + 7 + 5. Solve -13 - 17 = -5*l + t*a, -2*l - 17 = 5*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (803*d - 23857*d - 41938*d)*(1 + 1 + 0) to i*d + k and give i.\nAnswer: -129984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14624?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143*s**2 + 179*s**3 + 143*s**2)*(3 + 2*s - 3) - s**2 - 277 + 277 + s + s**4 + 4*s**3 as c*s**3 + o*s**4 + q + j*s + i*s**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494225 is divided by 956?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165542 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2304751117\nAnswer: -2304751121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.51 + 4.7. Let i = f + -0.1900011. Round i to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:52 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -57. Let c(g) = 18*g**2 - g + 1. Calculate the smallest common multiple of t and c(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyjyyyyyyyyy. Give prob of sequence jy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k - 2. Let r(i) = 2*i**2 + 23*i + 11. Let d = 44 + -56. Calculate the remainder when r(d) is divided by c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/180)\/((-37)\/296) + 58\/(-180)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - -1 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 20 = 5*b, 5*b - 20 = 2*c. Let v be (0 - 3) + (2 - 0). Let w be 0 + (-7 - 2\/v). Put -3, b, w in decreasing order.\nAnswer: b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 - 3*k**2 - 2712*k + 106379 with respect to k.\nAnswer: -3*k**2 - 6*k - 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:21 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6477, 4, -0.6, -1 in ascending order.\nAnswer: -1, -0.6, 1, 4, 6477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/30 - 23*u**4\/24 + 5*u**3\/2 - 36*u**2. Let r be g(11). Solve -3*q - 2*h + 3 = h, -2*h + 6 = r*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*p - 685, 4*m - 697 = m - 2*p. Suppose -s = w, 80*w + 32 = -s + 75*w. Calculate the least common multiple of m and s.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 5.1. Let a = 116259 - 27669745\/238. Let m = a + 5\/34. What is the biggest value in 0.1, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -69. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229 = 67*d + 67*d - 317 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2. Let y = 91 - 89. Let x(m) be the first derivative of -y - 2\/3*m**3 + 0*m**2 + 0*m. Calculate f(x(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2 + 11*q)*(-q - 2*q + 4*q).\nAnswer: 11*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 181811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.843914 to 2 decimal places.\nAnswer: -29.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444881, -889764, -1334647?\nAnswer: -1779530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-6) + 2\/(-3). Suppose 0 = -5*c - 2*o, -o = 6 - 1. Suppose 7*y - 3*y + 14 = c*f, 2*f - y = 8. Calculate the greatest common factor of f and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/30*(-5 + 90\/20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20) - (-2)\/(-12))*(-430)\/(-2064).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -96*(-3)\/(-6 + 3). What is the common denominator of 1\/2 and d\/(-63) + 2\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 356642805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2\/8 - 2037*n\/8 + 75735\/4 = 0.\nAnswer: 85, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3, -0.7, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15160 = -287*h + 295*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/19 - 14*c\/19 - 80376\/19 = 0.\nAnswer: -197, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*x + 23, 100*x - 7 = 2*v + 97*x for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 3*o. Let k be b(3). Let s(z) = -20*z + 2. Let f be s(k). What is the common denominator of 3\/(-12) + f\/88 and 39\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from {j: 1, a: 10, b: 2, t: 7}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205 - -72. Let v = 133.00415 + t. Round v to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2299)*3 - ((sqrt(2299)*3)**2 + -1 + sqrt(2299)).\nAnswer: -20690 + 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 610\/40 + -16 + (-66)\/8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-21)*6)\/(8*(-210)\/(-3136))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.331 - 0.031. Let o = 0.7 + x. What is the second biggest value in o, 3\/8, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377890 is divided by 2790?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*63\/216*12?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f + 4. Let m = 11 + -8. Let y be u(m). Suppose -5*j = 5*g + 5, -5 = 3*g + y*j + 3. Solve 5*b = -g - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 2*i - 2\/5*i**4 - 2\/5*i**2 + 0 - 11\/15*i**3. Let q(g) = 0. Calculate g.\nAnswer: -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7694420 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 6*j - 24.\nAnswer: 3*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2 - 2. Let m(p) = -p**3 + 45*p**2 + 7. What is 2*m(q) + 7*o(q)?\nAnswer: -2*q**3 - 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 24*q - 2*n = -14, 2*n = 2*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c + 46 - 46)*(-3*c + 6*c + 0*c) + (3 - 2 - 3)*(4*c**2 + c**2 - 7*c**2) - 4 + 4 - 2*c**2 to the form y + u*c + o*c**2 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1908.87138 - -0.12862. Which is smaller: 1\/3 or h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 - v**2 + 96*v + 1. What is x(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 33 = 21. Let a(j) be the third derivative of 0 - 1\/2*j**3 + 1\/12*j**4 + 0*j - 3*j**r. Calculate a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 4545.\nAnswer: 18180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -1212213132201?\nAnswer: -1212213132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h = -4*x - 38*h + 33, -4*h - 12 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2645378 to 4 decimal places.\nAnswer: -0.2645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 16214, 5 in descending order.\nAnswer: 16214, 5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 1. Let j(z) = 972*z - 2055*z + 1082*z. Give -4*c(r) - 22*j(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 5. Let x(v) = -1. Let i = -32 + 33. Calculate i*q(t) + 2*x(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137.8 + -128.8. Let h = -4.5 + -0.5. What is the third biggest value in h, 3\/10, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200010202100 (base 3) to base 6.\nAnswer: -125114230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by ((6 - 14\/2)*47 + -1)*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001111111001 + 10?\nAnswer: -1110001111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 0.141?\nAnswer: -0.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2124, 8593, 19384, 34503, 53956, 77749?\n\"Answer: f**3 + 2155*f**2 - 3*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.8 - 13.3. Put 6, d, 2\/17, -0.2 in descending order.\nAnswer: 6, 2\/17, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 60 = -44*n. Put n, 6, 11 in decreasing order.\nAnswer: 11, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 200641*g**4 + 2*g**2 - 200635*g**4 + 30*g**3 + 2 - g**2 + 0*g**2 as f + z*g**2 + q*g + n*g**3 + w*g**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:45 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/4 + 17*j. Let w(k) = -2*k**2 - 3. Let o(y) = y**2 + 2. Let r(d) = -3*o(d) - 2*w(d). Calculate u(r(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose 6 + 24 = d*g. Calculate the highest common divisor of 120 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*g - 5 - 2, -3 = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (4 + (-1 - -1))) + 873 + -885.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-3)*(238\/(-105) - 24\/18). Calculate the highest common factor of b and 1623.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*c - 919*c - 2 + 305*c + 304*c - 5 + 7.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 8) in base 4?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.97961 and 24.\nAnswer: 167.51064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289339.\nAnswer: 89, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 18. Let q(t) = -19*t - 142. Calculate the remainder when q(-8) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 24.8, -2, 5, -24, -4?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50172 and 0.3?\nAnswer: 50171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(-4) + 5187\/26 and 12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(102\/28))\/((-438)\/(-369)). Let z = 4\/73 + c. Calculate the common denominator of 41\/6 and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1946 rounded to 2 decimal places?\nAnswer: -6.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(((-14)\/21)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -17. List the prime factors of (-452)\/x + 2\/5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*28\/(-12) - 10\/(-15). Suppose 158 + y = 25*r. Solve r*o - 6*o = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqztvtaqxzaqqx. What is prob of sequence qztv?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2930 + -14648\/5. Find b such that b**2 + 2\/5*b - p*b**4 + 1\/5*b**3 + 0 = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 14*g + 26. Let c be k(-12). Suppose 4*w + 16 = 4*i, -3*w - 30 = i - c. Is ((96\/20)\/w)\/((-1)\/1585) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6956, -6960, -6964, -6968, -6972, -6976?\nAnswer: -6980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, w: 1}. Give prob of picking 3 j and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/12 - z**3\/3 + 13*z**2. Let s be o(9). Find the second derivative of 69 - 7*v**5 - 69 - s*v wrt v.\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let z be m(-3). Suppose z = t - 1. Let d(r) be the second derivative of r**3\/2 - r**2\/2 - 98*r. Calculate d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-45)*-6*(-9)\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (2 - 12)) + (-2 - -1) + 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*g**3 + 696*g**2 - 339*g + 42.\nAnswer: -3*(g - 14)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763051675 to the nearest integer?\nAnswer: 27623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*y = -2, -x = 3*y - 0*y + 3. List the prime factors of -145*(x - (-24)\/(-20)).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + (-3)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5 (c) -19\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1088))**2 - -2*sqrt(17)*-1.\nAnswer: -50*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27889761 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:47 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 2364, 5320, 9470, 14820, 21376?\nAnswer: 29144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1 + 2*m**2 - 2*m**3 - 4*m**3 + 5*m**3 + 4*m. Let q(f) = -f**3 - 7*f**2 + 3. Let r be q(-7). What is the units digit of l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*d = 51, -5*d = -l + 4*l - 48. Find the common denominator of l\/(-12) - 0 - (15 + -11) and 121\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let z be 0*(r + 0)*-1. Suppose z = -2*d + 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 1. Let g(d) be the third derivative of 3*d**2 - d**3 + 0*d + 0 + 2\/3*d**4. What is 2*g(c) + 11*z(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:25 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -1011011020011?\nAnswer: -1011011012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 + 10)) + 19605 + -19611\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/16*2*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -179*s + 51. Is r(-15) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/4 (c) -0.3 (d) -2710.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 7437.\nAnswer: 29748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3689.12 + -4171. Let z = -482 - u. Which is the third biggest value? (a) -5 (b) -3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 17?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16 - 2*y - 14*y**2 + 10*y**2 + 2*y**2. Let m be t(0). Suppose f + 5*j - j = m, -2*j - 2 = -2*f. What is the highest common factor of f and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/k)\/((k\/(k\/k**(-4\/7)))\/k*k*k) assuming k is positive.\nAnswer: k**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965837 is divided by 1084?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23650, 23653, 23656?\n\"Answer: 3*l + 23647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.6 + -6. Let s = 0.07 - 0.87. Let u = l + s. Which is the smallest value? (a) u (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 168*r**2 + 26*r - 260. What is the thousands digit of p(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7008? (a) 0.2 (b) 10 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 939*c + 593*c + 1732*c - 398*c to y + z*c and give z.\nAnswer: 2866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -14 + (2 - 8) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let t = r + -1. Suppose -s - 5*c = -22, t*s + 2*s - 178 = -2*c. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 2*t**7\/15 - 4*t**6\/3 + 11*t**5\/5 + 24*t**2 - 5. Let m(r) = 0. What is r?\nAnswer: 0, 1, 33\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 641456407 and 36501?\nAnswer: 12167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200429 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*4\/(-14) - 1 and 38\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/9 - (8608\/(-6) - -2).\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2510)\/(-125500) - (-1611)\/75)\/(3\/(-4) + 1)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -24.2, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 6*p**8 + 33*p**4\/4 + 46*p. Find the third derivative of i(c) wrt c.\nAnswer: 40320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 16 = -3*y. Let c(r) be the second derivative of r**3\/6 + 5*r**2\/2 + 15952*r. What is c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 7*m - 27. What is r(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by 106.\nAnswer: 143\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 31.7. Let c = 2 + l. Let m = c - -0.412. Round m to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19990 is divided by 204?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -671 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:13 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 7*b - 118 = -0*w + 3*w, -b = 25 - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + -1*2. Let i be -2 + 17 + 1 - v. Let k = -11 - -20. What is the highest common divisor of i and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34758?\nAnswer: 2, 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 516?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 798 - 778. Let z(u) = 37*u - 448. Is z(w) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 375 + 329 = -u, m = u - 45. Calculate the least common multiple of u and 126.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (2 + sqrt(18))) + -4 + sqrt(8))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 183*u + 5. Let m be 6\/(9*(-2)\/(-12)). Is q(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/20 + 2*q**4\/3 + 5*q**3\/6 + 782*q**2. Give l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - 12536049789.\nAnswer: -12536049815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5975.491 or -3?\nAnswer: 5975.491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29922*z**4 - 31777 wrt z.\nAnswer: -119688*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 206\/77?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3*u - 8. Determine n(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5539 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 503785 and 15865.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931347?\nAnswer: 3, 103483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188529.844963 plus 0.7?\nAnswer: -1188529.144963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.063 and -144.2101539332.\nAnswer: -144.1471539332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -432*k - 1. Let w(u) = -2*u**2 + 2*u. What is w(t(o))?\nAnswer: -373248*o**2 - 2592*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.3284 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5 + 3 + 3*u**2 + 0*u**2. List the prime factors of v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Suppose 5*y - 2 - 9 = -4*d, 0 = 4*y - 2*d - 14. Suppose -7 = -2*m - 1. Let h(i) = -3 - y*i + 6 - m. Determine t(h(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)*-4*5)\/(sqrt(10) - 2*sqrt(90)\/sqrt(9) - sqrt(250)*4).\nAnswer: 40*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7969 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184581986, -369163969, -553745954, -738327941?\nAnswer: -922909930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Let v be 2\/(-8) - (-3 + 2). Suppose -2*n = 2 - 0. What is the closest to n in r, v, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 55*u = 59*u - 6999, -w - 5*u = -2322. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y - 10. Let k be (-2)\/(-4)*(62 - 0) - -4. Let a(d) = -k*d - 3 + 66*d - 26*d. Determine 10*a(r) - 3*z(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 712712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278 + -278. Suppose i = 10*c + 9*c - 6*c. Solve c = 4*y + g - 1, g - 24 = -y - 4*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:06 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + 2*g**2 - 483*g - 1963. Give q(-4).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97983 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 0 - 3 - (-4 + 1). Solve 4*i + 1 = j*a - 1, 4*i = -a - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*p + 37*p + 53*p + 43*p + 46*p - 1.\nAnswer: 22*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 9 (c) -70876\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p - 4*p. Let x be 2 - 1 - 6 - -1 - -9. Solve -p = -b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2946 - -2971. Solve -24 = -13*d + p*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1377) + 2 - (1*sqrt(1377) - sqrt(1377))*-3)**2.\nAnswer: 126*sqrt(17) + 1426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 1 - (-30 - -8) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f + 9. Let i be w(-8). Let n = i + 95. Which is the second smallest value? (a) 1 (b) n (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 30 - 12 - j**3 + 3*j - 17 + j**2. Is c(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + f = 1, 3*b - 3 + 2 = -2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72269700 rounded to the nearest 100000?\nAnswer: -72300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -318b + 2b7?\nAnswer: -2ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1360*i + 6610. What is b(-5)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - v + 2 = 0, -348*v + 88 = 5*r - 354*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113210 divided by -5?\nAnswer: 22642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1904 = 4*g, 0 = -5*g + 2*i - 181 + 2570. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -26. Suppose -2*l - l + h = 0. Suppose 2*z + 2 = -3*q - q, 5*q = -l*z + 5. What is the highest common divisor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842\/(-29624) - (-28)\/92?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 26. Let s = 5.03 - 0.03. Let j = 1244\/11 - 113. Which is the closest to 0.1? (a) s (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5533.46000032 - -5533.56. Let w = 0.1 - u. What is w rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*r + 12 + 6, 0 = 4*w - 4*r. Suppose 4*y + 2 = 3*i - 6, -4*i = 3*y + 31. Put -4, y, w in descending order.\nAnswer: w, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15055311 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -538*q - 1901. What is the units digit of l(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 4:36 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -53. Let w = 2 - 1. Let i = w - t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 2. Let o(u) = u - 3. Let v(p) = -2*o(p) + 3*y(p). Let n(b) = -3*b**2. Calculate v(n(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 488*z**4 + 804881*z**3 - 3*z**2 + 73399890*z?\nAnswer: 11712*z + 4829286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l + 6. Let i be t(-2). Solve i*h = 2*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**(-2\/29))**29 assuming n is positive.\nAnswer: n**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131715 + 1?\nAnswer: 131716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*t - 1255 = -t, -4*u + 5*t + 1022 = 0. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*y + 60, 3*v = -92*y + 93*y - 28. Calculate the remainder when y is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j - 120 = 0. Suppose -1 = -0*y + y. What is the remainder when j is divided by y - (1\/(-1) + -14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29217.\nAnswer: 3, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102697 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:40 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1158*t**4 + 203*t**4 - 9*t**3 + 14*t**3 - 4*t**3 - t in the form r*t + i*t**2 + v + b*t**4 + f*t**3 and give b.\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-1.9\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*p**3 + 142*p**3 - p - 63*p**3 + (-p**2 + 0*p + 0*p)*(1 - 2*p - 1) to the form l*p + i*p**3 + y + r*p**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/280 and -73\/5978.\nAnswer: 119560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 9 = b. Let m(d) = 25*d - 2. Let c be m(b). Suppose 0*a = 4*a - c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 383, 1, -9, -12, -6\/11, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 8 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241409432?\nAnswer: 2, 11, 2743289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 4. Let g be c(-7). Let a = g - 3. Suppose 5*k = -3*o - 0*k + 27, k - 3 = a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 801496*h**3 - 801494*h**3 - h**2 - h**2 - 125 to the form m + p*h**3 + l*h + y*h**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*2*6 + sqrt(68)*-1*-3)\/(2*sqrt(324) + 1*sqrt(4)*-2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -244\/9*v + 8 - 28\/9*v**2.\nAnswer: -4*(v + 9)*(7*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 41. Let n = 86 + -94. Let p be q(n). Is 65 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 4.8. Which is the second smallest value? (a) -4 (b) g (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 - -98. Let x be (-9)\/j*1*(-16)\/(-6). Put -3, 31, x, 3 in ascending order.\nAnswer: -3, x, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87708 < -87703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*q + 32, -112*p = -24*q - 113*p - 170 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -182093814 times -5\nAnswer: 910469070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 188407127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(100)\/(sqrt(10)*2)) - ((2*sqrt(65) + sqrt(65))*6 - sqrt(65))\/sqrt(5))*-1*-4.\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/12)\/(-48))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h*u**3*y*z - 64*h*u**3 + 105*h*u**2*y*z + h*u*y - 3*h*z - 17*u**3*z - 6*u**2*z - 2*z wrt u.\nAnswer: -36*h*y*z - 384*h - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53680506 to the power of 1\/2, to the nearest integer?\nAnswer: 7327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 11. Let x(m) = m. Suppose -g + 1 = 2. Let s be x(g). Sort c, s, 3\/2 in decreasing order.\nAnswer: 3\/2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1395, -2914, -4555, -6318, -8203?\nAnswer: -10210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265974342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76299989, 76299991, 76299993?\n\"Answer: 2*y + 76299987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 443 + -823?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1525 by 10.\nAnswer: 305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/65302 and -25\/62?\nAnswer: 2024362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3356, 3345, 3318, 3269, 3192, 3081, 2930?\n\"Answer: -o**3 - 2*o**2 + 2*o + 3357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 2*s - 9. Let u be v(2). Solve -13 = 2*h + 2*h - o, 4*o = u*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5\/2 - 1551*n**4\/2 + 124884*n**3 + 58305690*n**2 - 8417162304*n - 8475342336 = 0. Calculate n.\nAnswer: -432, -1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72137 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/((-3 - -3) + -2). Let t be (0 - 4)*(-12)\/d. Suppose -q = t*a + a - 28, -5*a = 0. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 4. Let c be 9 + -8 + -5 + 0. Suppose -x - x = -60. What is the remainder when x is divided by d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 0. Let s be v\/(-20) + (-13)\/(-5). Suppose -3*l - l = -s*u - 11, -3*u = 3*l - 3. Solve -l*m + 1 = -7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 60 = -3*y. Let z be 472\/y - (-2)\/5. Is ((-18)\/z)\/((-2)\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 407, 607, 805, 1001, 1195?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346574989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/10*(-14)\/(-280))\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-12)\/30 + 282\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, 5, 1, 4, -0.05 in increasing order.\nAnswer: -0.05, 1, 4, 5, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 48807.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.4 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c. Suppose -n = -3*d + 19, 4*n + 34 = 3*d - 15. Let u(t) = t. What is n*u(z) - w(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -63.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -307\/66 - -53\/11. Let o = 25\/4 - 55\/12. Which is the smallest value? (a) -2\/23 (b) w (c) -1\/6 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let i(m) = -6*m - 6. Give i(q(p)).\nAnswer: 6*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/4 + 789*h\/2 + 207507\/4 = 0. What is h?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/24465 and -38\/38445.\nAnswer: 269115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 5) to base 6.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, o: 1, m: 3, u: 2, q: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19287058.\nAnswer: 2, 7, 1103, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2 + -9 + 416\/84?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {w: 5, i: 1, y: 4, p: 4, m: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929701 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2. Let b(z) be the third derivative of z**6\/144 - z**4\/8 - 2*z**2. Let w(d) be the second derivative of b(d). Calculate n(w(f)).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = -5*r - 4, -2*g - 4*r + 24 = 0. Let s = g + -24. What are the prime factors of s*3\/(-6) + 38?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -841 + 241. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 696.8 + -696.8. Sort w, -2, -3, -1\/66, 1\/4 in ascending order.\nAnswer: -3, -2, -1\/66, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73371, 73549, 73737, 73941, 74167, 74421, 74709?\nAnswer: 75037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*f**3 - 3\/7*f + 0 + 6\/7*f**2 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/110 + u**4\/11 - 4*u**2. Factor d(k).\nAnswer: 6*k*(k + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7102 and 91\/636.\nAnswer: 42612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 367*f - 364*f. Factor 4\/3*a**f + 0 + 0*a - 10\/3*a**3 + 2*a**4.\nAnswer: 2*a**2*(a - 1)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**2 + v**3 + 8*v + 7 + 0*v - v**2. Let y be i(-7). Let f be (-1079)\/(-78) - (-1)\/6 - 8. Solve -p + 3 - f = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6650?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*r**3 - 63002*r**2 - 646780*r + 7400.\nAnswer: (r - 370)*(r + 10)*(175*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3 = -l, -d - 2*l = -7 - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-42)*168\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 3*x - 1160. Suppose 0 = 7*w + x + 114. Which is bigger: -38 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 - 0.59. Let w = 35.5 - 36.5. Put -0.5, w, k in descending order.\nAnswer: k, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 2*k**2 - 2*k**2 - 5*k**2. Let a(j) = j. Give a(b(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:59 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7772, 62205, 209952, 497669, 972012?\nAnswer: 1679637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose i = l + 11. Let u(x) = -3*x**3 + 2*x**2 + 9. Let r(c) = -5*c**3 + 3*c**2 + 14. Suppose -21*s + 100 = -s. Give l*u(n) + s*r(n).\nAnswer: -n**3 - n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l + 2234. Let k(v) = v - 4. Give k(x) - 3*q(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.979*0.10818.\nAnswer: 0.10590822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h - 131. Let k be m(17). Suppose -3*f - 4*l + k = -18, l + 85 = 4*f. Which is the third biggest value? (a) -1\/5 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 63*r + 165. What is d(29)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2869, 11476, 25821, 45904?\nAnswer: 71725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 8*h - 4. Let l be r(7). What is the lowest common multiple of (-12 + l)\/((-9)\/12) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 3*z - 122 = -367 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 13. Let c be x(-18). Let n = -73 - -108. Let d = c - n. What is the remainder when 39 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from yiyyiiy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1, 2.9, -296, -5?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1582 - 657876?\nAnswer: -656294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*a - 58 - 78. Let r be 37\/7 - 2\/7. Put a, r, -4, -3 in descending order.\nAnswer: r, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -877125800 rounded to the nearest one hundred thousand?\nAnswer: -877100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 28. Calculate the remainder when 19 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - 3.06. Let o = -221 - -184. Let r = -38 - o. Put r, -1\/6, x in ascending order.\nAnswer: x, r, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7401, 7393, 7367, 7317, 7237, 7121?\n\"Answer: -u**3 - 3*u**2 + 8*u + 7397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 4\/3 (c) -7\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -56 - (0 + -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = 34. Suppose -q*x + 42 = -36*x. Let c = x + 15. Sort -2, c, -3 in increasing order.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.69352 millimeters in meters?\nAnswer: 0.04669352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 7 = 2*h - 2*z, 0 = -5*h - z + 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b - 3*b**2 + 3*b**2 - 8 + 0*b**2 + b**2. Is 6 a factor of x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 65 = 0. Suppose 183 - 483 = -60*b. Solve -b*l - y = 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 15*f - 54*f + 6*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020002222 (base 3) in base 4?\nAnswer: 202232123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 18 + 12*x + 11*x)*(4 - 43 - 20)*(2 + 2 - 5) in the form f + o*x and give o.\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.31 and -0.625695518.\nAnswer: 5.684304482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*r + 932*r + 939*r - 3750*r + 940*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 2. Let d be v(4). Let n = -4 - d. Let o be 0 - (-4)\/((-4)\/(-3)). Solve o*r + 0*r + n = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -i - 9 + 57 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 430.0229m?\nAnswer: 430022.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8289.281 - 7.5.\nAnswer: -8296.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100321320 (base 4) to base 15.\nAnswer: -157b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7\/(-4 - (-15)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f - 9*f + 4*f + 4*f - 5*f. Let v(z) be the second derivative of 17*z**3\/6 - z**2 - 27*z. Give o(v(l)).\nAnswer: -17*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8*f + 1485. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 0 - (1 + -1). Let q be y\/(-1)*3\/(-3). Let c be (2 - 15\/6)*q. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 166 - 85 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/46*-1)\/((-33)\/(-7449)). Let m = 380\/11 - g. What is the common denominator of -119\/12 and m?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/7))**(3\/4)\/(m**17*(m**9*m)\/m*m))**(-3\/14) assuming m is positive.\nAnswer: m**(2187\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*a**5 - a**4*k + 2*a**2*k + 46924*a*k wrt a.\nAnswer: 5140*a**3 - 12*a**2*k + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*d + 6*d = -16, 15 = 5*c - 4*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x + 17. Let b be j(8). Let l = 79 - b. Suppose 2*a = 5*a - l. Solve -12 = 3*s + 3*g, a*g + 22 = -5*s - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 10*j + 14. What is the tens digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -712, -1419, -2116, -2797, -3456?\n\"Answer: u**3 - u**2 - 711*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -5, -1\/9, 0.1 in descending order.\nAnswer: 0.1, -1\/9, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259.898391 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53616613 (base 7) to base 3.\nAnswer: -22121111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - d + 8*d - 2*d**2 + 0 + 0 - d**2 + (3 - 1 - 3)*(2*d**2 + 4*d**2 - 4*d**2) + d**2 + 3*d - 3*d.\nAnswer: -4*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 78 (b) 3 (c) 1\/6 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 55986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6693828 and 5.\nAnswer: -33469140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3172491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*k**2 - 2\/11*k.\nAnswer: -2*k*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 918, 2005, 3530, 5499, 7918, 10793?\nAnswer: 14130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.4149 and 0.169664.\nAnswer: 1.584564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/10)\/(3 + (-274)\/92). Let u(f) = f + 16. Let v be u(0). Let q = s - v. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdg when three letters picked without replacement from {v: 2, j: 9, d: 4, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 9*u**2 + u**3 - 111*u + 111*u + 7*u**2.\nAnswer: 3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(567) + 5)*-5 + 4*sqrt(567)*-2*-1)**2.\nAnswer: -2430*sqrt(7) + 7128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/7 (c) -0.2 (d) -0.5 (e) -426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3)\/(10 - 8). Let a(n) = -2*n + 5. Let x be a(5). Put -4, x, m in increasing order.\nAnswer: x, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.409 - 0.429. Let z = m - -0.02. What is the smallest value in -2\/27, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*o - 576 = 178*o. Suppose -2*w + o = 2. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + (4 - 3) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18 + 16\/96 + -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from nhpihhppikuuhuphkh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 10. Let k = 3 - -4. Let x(u) = -u**2 + 9*u - 11. What is the remainder when z(k) is divided by x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 822 - 825. Which is the closest to -0.1? (a) f (b) 17 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwczczzwcoozwdedcwwd. Give prob of picking 1 e and 1 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1\/(-14))*1. Let u = n - 10. Let m(o) = -o - 2. Let i be m(-2). Solve i = -9*q + u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09384 rounded to 2 dps?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - (-6 + 3 + 7)) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-92)\/12)\/(2\/(-6)). Let p = 2 + -4. Let u = p + x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-692)\/12)\/(3\/(-37710)). Suppose o = z - 34870. What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 5*g + 1 + 3*g + 3*g. Let h be t(-2). Suppose h*k + 2*m = 20, 0 = -4*k + 2*m - 7 + 23. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10772, -10769, -10764, -10757, -10748, -10737, -10724?\nAnswer: -10709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*(-18)\/(-172)*-4*52\/2340?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 11. Let x be w(-8). Let d = 1776 + -8838\/5. Find the common denominator of (x\/66)\/(2\/40) and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2530 - -5523. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = -4*d, 6*d + 5*s = 3*d - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27667*-105.\nAnswer: -2905035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2724, 5444, 8162, 10878?\nAnswer: 13592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 588, 2068, 4972, 9774, 16948, 26968?\nAnswer: 40308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 36*f**3 - 16*f**2 + 4*f - 11. What is the ten thousands digit of x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*h**3 - 555695928*h**2 - 277847973*h - 34730997 = 0. Calculate h.\nAnswer: -1\/4, 11576999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-14)))\/q**(-19)*q**(-9)\/((q\/(q*q**(-1\/15)))\/q) assuming q is positive.\nAnswer: q**(374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c)*(-7*c + 0*c + 0*c)*(-c + 3*c - c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29086707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 1 + 0*y - y. Let t be v(-1). Let s be (-6)\/(1*(-6)\/t). Which is bigger: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32150 (base 7) to base 13\nAnswer: -3824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238526 is divided by 8833?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let w(f) be the first derivative of 16*f**2 + 2*f - 61. Give s(w(v)).\nAnswer: -64*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t**2 + 4*t + 2. Let m be z(6). Let j(v) = -5*v**3 + v**2 - 12*v - 11. Is j(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = -50. Let i = q + 15. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3754 - -14209. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 20. Let q be x(-7). What is the closest to q in -1, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16668 is divided by 183?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17598\/8)\/(90\/120). Let s = -1989 + i. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 66, 13, 7 in decreasing order.\nAnswer: 66, 13, 7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2931a + 4?\nAnswer: 2931e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 less than 0.35?\nAnswer: 655.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363561 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -5580?\nAnswer: 5579.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 711*x - 1922. List the prime factors of y(19).\nAnswer: 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2463\/14)*9246769\/273. Let o = 5891122 - k. Let q = o + -10\/91. Calculate the common denominator of q and 35\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 9 = 3*x. Suppose -4*c = -0*i + i + 5, -x*i - 3*c = -3. Suppose m = -i*m + 24. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/1*((-6)\/24)\/1. What is the third smallest value in r, -4\/7, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**6*l)\/(l*l*l*l**(2\/9)))**(-43) assuming l is positive.\nAnswer: l**(-1849\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j - 1. Suppose 2*a + 3*k = -0*a + 6, 10 = 5*a + 5*k. Suppose 3*f = -a*f + 9. Let x(p) = 2 + f*p - 1 + 2*p**2 - 2*p. What is -3*r(n) - 3*x(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -520, -33, -15, 2\/3 in descending order.\nAnswer: 3, 2, 2\/3, -15, -33, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*3*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 79. Let f(y) = -3*y**2 + 22*y - 5. List the prime factors of f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**5\/5 - i**3 + 21*i**2 - 9. What is the second derivative of s(x) wrt x?\nAnswer: 12*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 8:42 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5289 - 2903. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12618 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2c?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -56. Suppose 0*k + k - a = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -8, -17, -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p**5 + 981*p**4 - 25215*p**3 + 119283*p**2 + 207900*p + 62436 = 0. Calculate p.\nAnswer: -86, -1, -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16 - 16*m**3 - 16*m**3 + 10 wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4528*w**2 + 6*w - 217 wrt w?\nAnswer: -9056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 37*d + 174. Let k be a(10). Let u(t) be the second derivative of -5\/12*t**k + 7\/2*t**2 + 0 - t - 1\/20*t**5 + 4\/3*t**3. Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -235*l**4 + 1477*l**2 + 390*l - 1. What is the derivative of o(r) wrt r?\nAnswer: -5640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177305 rounded to the nearest 1000?\nAnswer: 1177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3504295 divided by -85.\nAnswer: 41227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 780116946 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 608, -1, -2, 3\/8.\nAnswer: -2, -1, 3\/8, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7.2. Let u = -0.3 - y. Which is the third smallest value? (a) u (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 8*h - 3. Let l be g(-5). Let f be (100\/(-60))\/(12\/7776*-2612 + (0 - -4)). What is the greatest common factor of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 5721*p - 4 + 7.\nAnswer: 5721*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 258744?\nAnswer: -258746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 38. Suppose -n*j + 9 = -7. Let v(u) = -5*u + 3*u**j - 4*u**2 + 5*u. Let k(l) = 24*l. What is k(v(d))?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f + 10. Let w(p) = 20*p - 29. Let n(a) = 3*w(a) + 8*y(a). What is the first derivative of n(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:45 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95326 and 616.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139562099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 13*l**3 - 23*l**2\/2 + 136*l - 257. What are the prime factors of c(6)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132023 + 221013?\nAnswer: 1013102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -43\/38?\nAnswer: -43\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*m + 174*m + 190*m + 338*m in the form w*m + y and give w.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31021 is divided by 1628?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*-3*3*sqrt(78))\/(6*(sqrt(600) - -2*(sqrt(600) + sqrt(600)*-3))).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-16)\/20))\/((-100)\/(-240)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 11*w + 33 + 51*w - 36*w. Let a be t(24). What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7448126130?\nAnswer: 2, 3, 5, 82756957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29102 is divided by 14034.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + ((sqrt(704) + 0 + sqrt(704))**2*-3 - (5 + sqrt(704) + 0 + sqrt(704))))*6.\nAnswer: -50705 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -218. Let k = l - -161. Solve -1 = x + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)*f)\/f)\/(f\/(f*(f*f*f**15*f)\/f)*f*f*f) assuming f is positive.\nAnswer: f**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2076 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 66*h**3 + 2*h + 30. Let o(m) = -m**2. Determine f(o(d)).\nAnswer: -396*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2778786235*l - 1 - 2778786246*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16130*c + 1. Let x(f) = 1071*f. What is j(x(q))?\nAnswer: 17275230*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -581103*r**3*w + 47*r**3*x + r**3 - 2*r**2*w*x - 2*r**2*x + 34*r + 4*w*x + 32*x wrt w?\nAnswer: -581103*r**3 - 2*r**2*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6\/41 (b) -5\/3 (c) 3\/2 (d) 5\/7 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:41 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) -64 (b) 0 (c) 0.16 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-250)\/948))\/2 + 60\/150.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7270.6901 rounded to zero decimal places?\nAnswer: -7271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-15) - 6\/(-9). Suppose -2*t = -d*n - 6, -t = n - 4*t + 5. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 56*z**4 + 2*z**3 - 4*z**2 + 12. Let v(f) = -f**4 - f**3 + 2*f**2 + 1. Let c(j) = u(j) + 2*v(j). What is the derivative of c(i) wrt i?\nAnswer: 216*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/21 + (-3)\/(21\/(-250)). Suppose 9*j = h - 0. Factor 5*i**2 - 8*i + j + 12 - 4*i**2 + 0*i**2.\nAnswer: (i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 35*b - 24. Let p(f) = 5*f**2 - 36*f - 21. Let w(v) = -3*p(v) + 4*t(v). Solve w(s) = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35671?\nAnswer: 35671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4550, -9109, -13676, -18251, -22834, -27425?\nAnswer: -32024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 360?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.506541 rounded to 3 decimal places?\nAnswer: -0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Let c be 2 + -2 + (-39)\/y. Let n = -10 - c. Sort -0.2, 3, n in decreasing order.\nAnswer: 3, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 10*v - 7. Let s be n(11). Suppose 2*r - 3*z = -11 + 34, s*r - 3*z = 31. Solve -2*t - r = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/44 - (-2)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, g: 5, b: 2, f: 1, z: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 1. Let z be (3 + -6)\/(6 - 9). Give j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 27*t + 50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-427)\/(-305)*380\/(-17822)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65545, -132545, -202461, -276751, -356873, -444285, -540445, -646811?\n\"Answer: -243*d**3 - 65299*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - w + 1. Let o(v) = 16*v**2 - 3*v + 5. Suppose -6 = 3*n - 0. Let d(f) = n*o(f) + 9*t(f). Let i(x) = x**2 - x. What is d(j) - 3*i(j)?\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let t(z) = 24*z + 25*z - 2 - 119*z + 35*z + 30*z. Give 3*l(j) + t(j).\nAnswer: -8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2313 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7450*j. Let o(l) = 351290*l + 2 - 2 - 351288*l. Calculate b(o(a)).\nAnswer: -14900*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 7*z + 10. Give o(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15 (b) -502 (c) -3\/2 (d) 5\/4 (e) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -166\/3 (b) -22 (c) -2\/19 (d) -3 (e) -367 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4828, 4, 3, -1\/9, -53, 2 in increasing order.\nAnswer: -4828, -53, -1\/9, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -3.6. Let o = 17.6 + q. Let x = o - 20.000112. Round x to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 494*m**3 + 45454 + m**2 + 2704*m**3 - 45455 + 2*m**3 - 2*m**3 + m**3 + (-4 + 4 + 1)*(0*m**3 + 2*m**3 - m**3) to a*m**3 + z + l*m + i*m**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -353 + 417. Let j be (-23)\/(-3) + 2\/6. What is the greatest common divisor of z and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 19*x**2 + 35*x - 16. Let t be n(17). Let q be (59\/295)\/(t\/20). Solve 4*g = q*u, 2*g - 6*g + u - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/56711741 and 4\/1014723.\nAnswer: 510405669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let c(v) be the first derivative of -v**2\/2 + 18*v + 14. Let p be c(12). Let r(j) = 2*j - 7 + 1 + p. Determine r(f(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - y - 5*y + y**2 - 1. Let n(x) = -x**2 - 7*x - 4. Let l be n(-6). Suppose 3*i + 15 = 0, 14 = -g + l*g - 2*i. Determine h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (893 - 33*q - 31*q + 141*q - 29*q - 34*q)*(2 + 0 - 3).\nAnswer: -14*q - 893","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1177\/139 + -6163\/695. Let j = 0.06 - 3.06. Let f = -1 + 1.03. What is the nearest to f in 0, j, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8948, 8905, 8868, 8843, 8836, 8853, 8900?\n\"Answer: v**3 - 3*v**2 - 41*v + 8991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (38 - -6) + -20 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2907 + 3163. Calculate the smallest common multiple of 2 and d.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 79 = l, m - 5*l - 4 = 19. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 154*o**3 - 2*o**2 + 8. List the prime factors of r(2).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139483.369 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -51*f - 62. Let v(q) = 153*q + 185. Let z(r) = -7*b(r) - 2*v(r). What is the hundreds digit of z(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*h*h**(-9)*h*h)\/h)\/h)\/(h*h**11))\/((h*h**(-10)*h*h)\/(h\/((h\/h**24)\/h))))**(1\/26) assuming h is positive.\nAnswer: h**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7918013 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (861*w + 161*w + 119*w)*(-5 + 3 + 1 + (-1 - 2 + 1)*(3 + 1 - 2) + 3 + 3 - 4) in the form g*w + i and give g.\nAnswer: -3423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x + 8. Let h be m(-6). Let i = -44 - h. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 1, y: 1, p: 5, d: 1}. What is prob of picking 1 y and 1 c?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.516 + 0.116. What is the third biggest value in -8, c, 3, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64, 3855, -4, 4 in ascending order.\nAnswer: -64, -4, 4, 5, 3855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 16 = 2*j, 5*j - 5*f = 20. Let a = 19 + -12. Solve j = -4*k + 3 - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 688*z**3 + 4620*z**2.\nAnswer: 4*z**2*(z + 7)*(z + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 175.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31314456 (base 8) in base 9?\nAnswer: -13467476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879661 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 6958?\nAnswer: 6957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -7\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1797 (c) 0.3 (d) -0.49 (e) 2\/9 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.8. Let a = 3.2 - v. Sort -3\/7, a, 0 in increasing order.\nAnswer: -3\/7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 5*h + 42. Let c be h\/((-35)\/(-30)) + -3. Solve -4*f + 4 = c*n, -2*n + f + 10 + 0 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2497412940 rounded to the nearest one hundred thousand?\nAnswer: -2497400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p + 3 = -1593 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 1933 = 113*v + 4187 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7 - 4) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 29. Let k be c(-12). What is the greatest common divisor of 172 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z**2 - z**2 + 521 - 1130 + 609.\nAnswer: 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 56, 52, 48, 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41195, 82401, 123619, 164855, 206115?\nAnswer: 247405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-25)*(-77)\/308*60.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2915 - -0.0245. Let t = o + 4.324. What is t rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*p**2 + 4365*p - 3850.\nAnswer: 5*(p + 110)*(8*p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - sqrt(88)*-3) + sqrt(88))\/sqrt(8) + -3)**2.\nAnswer: -30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21400 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -207, -196, -183, -168, -151?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r - 6. What is b(-6)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6*d - 50 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 2.04, 0.2, -4, -0.9?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + 20*s = -10*s - 154 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - 54\/(-9) - -8. Solve -q - s = 8, s + 2*s = 5*q + x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28596902 + 28594933.97982. Let h = -1968 - l. What is h rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1412*u - 1673*u**2 - 5418*u**2 + 2912*u**2 wrt u?\nAnswer: -8358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 77. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (-47 - -5) - -83?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, 24, -20, 2 in ascending order.\nAnswer: -20, -4, -2, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + -4*(2 + sqrt(2057)) + -3.\nAnswer: -44*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.2504.\nAnswer: -2.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 - -212.8. What is the nearest to -1 in z, 8, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 136. What is the second smallest value in -0.1, 1\/11, 0, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + (-46)\/(-14). Let j be (-5 + 3)*(-3)\/18*3. Sort 5, j, u in descending order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43766 is divided by 1861.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 515, -2\/11, -2\/13, 22\/5, 0.6?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v. Let q(m) be the third derivative of -503*m**4\/24 + 2003*m**2. Give q(k(x)).\nAnswer: -2515*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109.85 - 109.55. What is the nearest to c in -0.4, 1\/2, 157?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*(-2130)\/639?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/15)*w*w\/(w*w**(-14)*w*w))\/(w**23\/(w**(2\/47)*w)) assuming w is positive.\nAnswer: w**(-5422\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 396?\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1363777\/12 or 113649?\nAnswer: 113649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 - 9*k + 7. Is f(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1199649717 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/29))**39 assuming u is positive.\nAnswer: u**(78\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (5 - (0 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -618*h - 1 - 461*h + 1703*h - 484*h in the form f + z*h and give z.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*o - 39*o - 40*o + 31*o)*(448 - 446 + 5*o - 7*o) to the form c + x*o + v*o**2 and give v.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521950 and 411866?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25809086682 plus 1161?\nAnswer: 25809087843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522808 (base 9) in base 5?\nAnswer: 441423204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 - 30?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o. Let a be ((0\/(-32))\/(-3 + 0))\/(-2). Let p(n) be the second derivative of -7*n + a*n**2 - 1\/6*n**3 + 0. Calculate p(z(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15784*r**6 - 2*r**5 - 2083*r**2 + 15*r + 10.\nAnswer: -1894080*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -0.5, -0.4, 5.\nAnswer: -0.5, -0.4, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223842769*r + 8912678*r - 139081940*r.\nAnswer: -354012031*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2663?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -131, -352, -663, -1064, -1555, -2136?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005726917 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 812864?\nAnswer: 812864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 - 19*h**4\/3 - 136*h**3\/3 + 1396*h**2\/3 + 1056*h = 0. What is h?\nAnswer: -9, -2, 0, 8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -48113?\nAnswer: 48118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.84 + -6. Let l = 24 + -19. Suppose 3*o + 9 = 3*j, -4*o + 11 = l*j - 13. Which is the closest to x? (a) -2\/23 (b) o (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*v + 318*v = -936 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 0, -77, -102, -4 in increasing order.\nAnswer: -102, -77, -4, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - v - 2*v + 36 = 0, -5*v = g - 26. Suppose -q - 1 = -g. Suppose -5*z + 4*j + 10 = 0, -8 = -4*z - 0*z - q*j. Solve 0*a = -a - z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(2\/9)\/(v**1*v)**1 assuming v is positive.\nAnswer: v**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4524810 or 4524849?\nAnswer: 4524810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -5.7.\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(4 + (135\/(-25) - -2)). Let p(y) = y**3 + 8*y**2 - 8*y + 11. Suppose -10 + 3 = 3*z - 5*t, -5*z - 29 = -4*t. Let s be p(z). Sort s, 4, c, -3.\nAnswer: c, -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -504*u + 504*u + 11 - u**2 in the form i*u**2 + f + k*u and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 - 3 + 6*x**4 + 2*x - 3747314*x**3 + 3747314*x**3 to j*x**3 + s + o*x**2 + k*x + c*x**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 52dc1b?\nAnswer: 52dc21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 14) to base 6.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5964716467 + 0.3?\nAnswer: 5964716467.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*c - 7 = 134*c - 5*i, -25 = -5*c - 5*i for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(475) + sqrt(475) + -3)*-3)**2.\nAnswer: -8640*sqrt(19) + 274896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2220\/27 + (-4)\/126*7. Suppose 2*x + 80 = m. Let j = -9 - -17. Calculate the highest common divisor of x and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/44)\/(-2*2 - 568\/(-160))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 12, k: 3}. Give prob of picking 1 k and 3 t.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, 9\/2, -2\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 202*u**2 + 2 + 397*u**2 + 140*u**3 - 200*u**2 as z*u + v*u**3 + q + f*u**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 167281225?\nAnswer: 167281220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40674, -40716, -40758, -40800?\n\"Answer: -42*j - 40632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*n - 307*n = 90. Solve -155*g + 153*g = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3 + 9. Let h be (r\/(-4))\/(2\/4). Let f = -417 - -422. What is the nearest to h in -2, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*j - s + 4*s, 3*j - 5*s = -16. Let p(c) = 21*c**2. Let z be p(1). Let f = j + z. 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: Put 0.5, 2723\/2, 2, 11 in decreasing order.\nAnswer: 2723\/2, 11, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2291 and 212\/3286 + 1417\/(-341).\nAnswer: 25201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -278.068, -4 in decreasing order.\nAnswer: -3\/4, -4, -278.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*r - 21777, 0 = x - r - 1567 - 5690. What are the prime factors of x?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7579?\nAnswer: -1\/7579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2\/2 - 6*u - 1. Let a(t) = -2*t - 37. Let k be a(27). Let l = k - -84. Calculate w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/360 and 31\/3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 136 = 139. Let u = -13 - m. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.054799 millennia in years?\nAnswer: 9054.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -a165969?\nAnswer: a165968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -9 + 9 + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-13)*((-2)\/(-6) - 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Let j be (-9)\/11 - (-28)\/(-154). Let z be j + 4 + 114\/(-42). What is the closest to 1 in z, 5, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11157, -7134, -3111, 912, 4935, 8958?\n\"Answer: 4023*u - 15180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*d - 26 = -5*b, -b = 2*d - 1. Let i(y) = y**3 - 8*y**2 + 7*y + 4. Calculate the lowest common multiple of b and i(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163798 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, o: 1, h: 1}. Give prob of sequence oss.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + sqrt(405) + 0 + (sqrt(5) - sqrt(20)\/sqrt(4))*-5 + 2 - (sqrt(605)*4 - (sqrt(240)\/sqrt(8))\/sqrt(6))**2).\nAnswer: -36972 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 1\/24*h**4 + h + 1\/24*h**5 + 0 - 1\/6*h**3 + 0*h**2. Let d(v) be the second derivative of j(v). Determine d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 22*p + 7. Let q(b) = -b**2. Let k(o) = c(o) - 2*q(o). Let l be k(7). Solve 0 = 4*j - 0*r - 3*r, 3*r - 12 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 113, 63, -33, -187, -411, -717, -1117, -1623?\n\"Answer: -2*t**3 - 11*t**2 - 3*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3 + (0 + 1 - 4)*(-2 - 3 + 1))*(74*v**3 - 21*v**3 + 19*v**3) to z*v**2 + x*v**3 + c + i*v and give x.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*p - g, -3*p - 4*g + 115 = 13. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k + k**2 - 1 + 110*k**3 - 1 + 4 - 106*k**3 + 2*k in the form h + d*k**3 + c*k + o*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416 (base 7) in base 11?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, h: 2}. Give prob of picking 2 g.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 944 = -46. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (586\/(-5))\/((-1)\/10). What is y rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {o: 2, d: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1807 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 69, 116, 181, 264, 365, 484?\n\"Answer: 9*v**2 + 2*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/15 - 39*b**4\/8 + 29*b**3\/6 - 257*b**2. Let h(r) = 0. What is r?\nAnswer: 1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 0 - 521*r**2 + 1069*r**2 - 530*r**2 - 3 + 5*r**3 + 2*r as q*r**2 + t*r + x + p*r**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -41*f - 12. Suppose 20 = -w - 3*w. List the prime factors of j(w).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 - 1177*j**2 + 590*j**2 + 401*j - 400*j + 581*j**2. Let z(y) = 5*y**2 - 1. Let a = 2 - -2. Suppose p - a = -p. Determine p*g(x) + 3*z(x).\nAnswer: 3*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6433 - 6.6433. Which is the second biggest value? (a) 23 (b) 84 (c) 0.2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3273 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 4*m - 16. Let v be g(-7). Solve -4*l + v*c = 37, -2*l - 4*c + 23 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2570180, 5140359, 7710542, 10280729?\n\"Answer: 2*n**2 + 2570173*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079223 times 0.24?\nAnswer: -0.01901352","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 15950, 31834, 47872, 64142, 80722, 97690?\nAnswer: 115124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 59*t**4\/12 - 11*t**3\/6 + 12*t**2 - 9*t. Let q be c(4). Suppose 0 = 4*i - 3*w - q, -w = -0*i - i + 231. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:19 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 12:17 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3096.158 from 5092011.\nAnswer: 5095107.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -52*x + 9*x. Let c be (0\/x)\/(6 - 4). Let a(f) = f**2 - f - 7. Determine a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206898 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 414528810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12480837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 1074*s**2 - 4*s + 33*s**2.\nAnswer: -1041*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10615, -21211, -31803, -42391?\n\"Answer: 2*w**2 - 10602*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 5 (b) 12.64 (c) -37\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -26. Let s = 19 + -41. Let q = v - s. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2\/21)\/((-14)\/(-63))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkmmvlmloml. What is prob of picking 1 k and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171)*2 - sqrt(171)))*-4))\/(sqrt(36)\/sqrt(4)*4).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8113*a**4*f**3 - 4*a**2*f**2 + 387*a**2*f - 5*a*f**3 wrt a.\nAnswer: 194712*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 5*u + 12 + 6*u.\nAnswer: -3*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -30, 0.1, -0.3, 6\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11*y - 25 + 79 + y**2 - 24 - 5. Determine v(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7404 = 4*b - 4*v, 3*v = 9*b - 4*b - 9267. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.019 + 3.081. Let v = d + 29.9. Let r = v - 42.8. What is r rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1453 + 47965\/11624. Calculate the common denominator of -56\/5 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 2*o**4 + 0*o**4 + (6*o - 4*o + o)*(-3*o**3 + 8*o**3 + 2*o**3) + (2*o - 4*o + 4*o)*(-o**3 + 0 + 0) + 2*o**4 + o**4 - 2*o**4.\nAnswer: 22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6716 and -27\/3796.\nAnswer: 87308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 390 + -420?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/1*0. Let i = s - -3. Suppose 0 = -i*x - 5*z + 70, 4*z = -2*x + 28 + 18. Solve 2*m - 29 = 5*c - 0*c, -3*c + 5*m = x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396 times 7.318?\nAnswer: 32169.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-31)*i\/(((i\/i**3)\/i)\/i*i)*i*(i\/(i*i**(1\/7)))**(-8\/15) assuming i is positive.\nAnswer: i**(-2722\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.346 - 158.\nAnswer: -158.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*l + 1, -3609*l - 8 = -2*t - 3612*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/1833655 and -13\/7.\nAnswer: 12835585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w + 548079 = 166*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -674414\nAnswer: 5\/674414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 28726000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 30*c**2 + 55*c - 17. Give d(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118119 is divided by 381.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684237 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4723, -4638, -4553, -4468, -4383?\nAnswer: -4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(1\/34))**(4\/7)\/((j\/((j**(4\/7)\/j*j)\/j))\/(j**(1\/9)\/j))**(15\/7) assuming j is positive.\nAnswer: j**(-12452\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.72 - -0.72. Let y = 54 + -30. Let q = 22 - y. Which is the closest to k? (a) -0.3 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1388880 and 11574?\nAnswer: 1388880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 14*s + 2. Let n(u) = 5*u**2 - 70*u - 10. Let a be -1*(-18)\/2 + 121\/(-11). Calculate a*n(c) - 11*i(c).\nAnswer: c**2 - 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 20*k - 56 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*((-55)\/(9240\/(-96)))\/(8\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -44*r**5\/15 + 178*r**4\/5 + 788*r**3\/3 - 342*r**2 - 116*r\/15 + 272\/5 = 0.\nAnswer: -6, -4\/11, 1\/2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = -3*x + 3, -2*h = -x + 8. Suppose -2*c = 2*v - 2, 4*c - 2 = -2*v + x. List the prime factors of c\/(4*1\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:07 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4 + (-6)\/(-4). Let p = -1 + k. Suppose q - p*z - 45 = 2*z, q - 15 = -5*z. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u - 5. Let x(g) = -1406*g + 2764*g - 1385*g. Give x(z(c)).\nAnswer: -486*c + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8220411259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 248 = f. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79076*a + 8353*a**2 + 27299*a**2 - 79076*a)*(-1 + a + 1)*(-3 + 3 + 1) in the form t + l*a + h*a**2 + i*a**3 and give i.\nAnswer: 35652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 30. Suppose p - 2 = -i. Let g be (i\/(-6))\/((-2)\/(-3)). Let k(w) = -3*w**3 + 2*w + 2. Let a(n) = 10*n**3 - 7*n - 7. Calculate g*a(q) + 7*k(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:11 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 3*m**3 + 7*m + m**4 + 10*m - 19*m to y*m**3 + v*m + z + c*m**4 + b*m**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-15))\/((-21)\/(-70)). Solve 0 = o*g - 8 + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1287 and 41250.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 107*d**2 - 736*d - 25. List the prime factors of q(12).\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206480 and 14210.\nAnswer: 10117520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 - k**2 - k - 1. Let f be s(2). Suppose -3*m = y - f, -y = 2*y - 4*m - 36. Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 12*r - 20. Let l be c(-10). Suppose 14 - 5 = 3*u. Suppose -u*i + 16 = 4*y, -2*y + 8 = i - 2*i. Solve l = -2*m - 0*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvvjtttvtvtttv. Give prob of picking 2 t and 2 v.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/15)*m*m\/(m\/(m*m**(-1\/15)\/m)))**(-20) assuming m is positive.\nAnswer: m**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -291, -649, -1149, -1791?\nAnswer: -2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.63804 tonnes?\nAnswer: 13638040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 4. Let z(p) = -6*p**2 + 47*p - 11. Let j be z(6). Let v = j - f. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*o**2)*(-3*o + 3*o - o) - o**2 + 3*o**2 + 147*o**3 - 146*o**3 - 10 in the form c*o + k*o**2 + z + n*o**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Solve -3*y + f = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(3\/(6\/4)). Suppose -327*z = -41 - 940. Solve y = 4*u - n + 21, -4*u + u - z*n - 12 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - -2*1743 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 382, 683?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/137 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 3*b**3 + 3801*b - 4108*b.\nAnswer: -b**3 - 307*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 30021*s**2 - 30020*s.\nAnswer: -s*(s - 30020)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/849, 1\/4, -1, -2, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3195 and 6795.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4987, 5096, 5219, 5362, 5531, 5732?\n\"Answer: c**3 + c**2 + 99*c + 4886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17817261 is divided by 8361.\nAnswer: 8331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467643 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 22 + 9 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 10*f - 9. Suppose 0 = -2*c + 10, -c = 2*n - 0*c - 45. Suppose 18*k - n = 22*k. What are the prime factors of s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/(11\/6 + -2). Let h(x) = -55*x + 35. Let l(t) = 218*t - 139. Let c(s) = b*l(s) - 9*h(s). Differentiate c(u) with respect to u.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -1000111?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 667*f - 5. Let c(m) = m**2 + 8*m + 17. Let n be c(-6). Let i be a(n). Suppose 4*o = 1842 + i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 1. Let y(g) = g - 2. Let q(r) = -5*v(r) + 3*y(r). Let i be q(-3). Suppose -29 = -4*w - i. What is the remainder when 16 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = k - 4*k + 4*y, 3*k + 13 = -4*y. Solve 4*h - 3*h - k = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1055356 (base 7) to base 4.\nAnswer: -200013211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 + 1. Let c(j) = -14*j**3 - 22*j**2 - 22. Determine -4*c(z) - 88*t(z).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 4*l - 2. Let c be g(5). Let v(z) = -2*z - c*z + 7 + 4*z. What is the units digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10176190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2. Let k be v(-1). Let u = -7 - k. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbhbfvwl. Give prob of picking 1 f and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -36 + 18. Solve -r = 2*g - 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250277, 250237, 250195, 250151?\nAnswer: 250105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 3 (b) -4 (c) -1 (d) -0.3 (e) -0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25944400 and 2160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 167 - 8*h + 2253.\nAnswer: -17*h + 2086","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152661953 to the nearest integer?\nAnswer: 12356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 6*s - 6. Let l be h(9). Let t(j) = -j**3 + j**2 + 3*j. Let o be t(3). Let q = l + o. Calculate the remainder when 34 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*x + 12*x**2 + 22*x to the form k*x**2 + f + w*x and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/5)*t*t*t\/(t*t**(-16)\/t*t))**(-7\/2) assuming t is positive.\nAnswer: t**(-343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815839628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 188*x + 216. Let h(y) = -y + 2. Let t(r) = 2*h(r) - o(r). Differentiate t(v) with respect to v.\nAnswer: -2*v + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3046 and 16334.\nAnswer: -49753364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28513.96 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/29 (b) -0.4 (c) 4.3 (d) -1 (e) -1\/3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 4*a + 2. Let o be q(-1). Suppose -5*p - 2*g + 1657 = 0, 0*p + 2*p = o*g + 659. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 17 + 37 - 10*k + 0*k as l + a*k and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44224.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -61 in descending order.\nAnswer: 3, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 65748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62247, 124469, 186691, 248913?\nAnswer: 311135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and 93\/316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675.4583g to kilograms.\nAnswer: 0.6754583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24435.25447 to the nearest integer.\nAnswer: -24435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -926807950 by -5.\nAnswer: 185361590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 + 0.02.\nAnswer: -216.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Let i be ((-4)\/(-12))\/(p\/(-27)). Let f(x) = -x + 3*x**2 - 3 + x**3 + 5*x**2 - 4*x**2. Calculate f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60016 and 256784.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*u**2 + 2 - 2.\nAnswer: 427*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**5\/120 + b**4\/2 - b**3\/6 - 3*b. Let d(l) be the second derivative of h(l). What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. What is the smallest value in 4\/5, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17943\/(-12) - (-6)\/(-8). Suppose -2*b + 5*q = -5*b + 6656, 5*q = 4*b - 8863. Let h = b + t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 24. Let n(j) = -1. Let r(v) = -4*n(v) + u(v). Let l be r(12). Let m(s) = s**3 - 4*s**2 + 2*s - 3. Calculate m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 + -0.6. Let m = 11 + l. Let n = 11 - m. What is the smallest value in -1\/4, 3, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 54 = -2*k - 2*c, -3*c = 5*k - 135. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -29.71.\nAnswer: -29.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 881, 882, 883, 884, 885?\n\"Answer: n + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -8 - 5) + 72\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2220 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -1 (c) -2 (d) 5\/6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -12. Let i = -1.352 + 0.132. Let x = -0.22 - i. Which is the closest to x? (a) n (b) -3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25755, -25590, -25423, -25254, -25083?\n\"Answer: c**2 + 162*c - 25918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l - 4 = -2*h, 4*h = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/5)\/f)\/(f\/f**(-36)*f*f) assuming f is positive.\nAnswer: f**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2019522, 2019523, 2019524?\n\"Answer: d + 2019521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 96. What is the closest to -4 in 0.1, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19351*b + 19226. Determine c(-1).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*3 + 5 + sqrt(1088) + 6*(-2 + sqrt(1088)) + (3*(sqrt(1088) - -1*sqrt(1088)) - (-3 + sqrt(1088)*4 + sqrt(1088)))**2.\nAnswer: 128*sqrt(17) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.6548 meters to nanometers.\nAnswer: 776654800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*r - 226, 112*r - 110*r - 94 = -4*q. Solve -83*m + r = -92*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/22820 and 113\/57050.\nAnswer: 114100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 c when three letters picked without replacement from {c: 1, u: 1, f: 1, z: 2, g: 1, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b + 14. Let j be i(-6). Let a = 50 + j. Suppose 2*c = -h + 196, -a*c + c + 294 = h. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3) - 390\/(-540))\/((-275)\/44 - -6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -43. Let n(x) = x**3 + 4*x**2 - 2*x + 4. Calculate n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23724*d**2 + 47464*d**2 - 23738*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.093 (b) 0.04 (c) 5 (d) -0.4 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - -1 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5*v + 3*v - 4*v + 0*v in the form s + l*v and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:19 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*o**5 + 95*o**2.\nAnswer: -11400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*r = -28, r - 3*r + 26 = 4*y. Suppose -4*v - v + 21 = -l, 32 = 3*l + 4*v. Suppose 2*i = 2*q + l, -y = -2*i - q + 4*q. Solve i = m - 2 + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {m: 5, f: 1, s: 7, o: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 24*c**3 - 3*c. Let r(a) = a. What is 5*r(s) + x(s)?\nAnswer: 24*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1415 + 1426. Solve 7*k + 8 = l*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 18) + 1 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9975, 0 in increasing order.\nAnswer: -9975, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r - 0. Let c be 2*((-20)\/8)\/5 - 2. Sort 4, c, r in increasing order.\nAnswer: c, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 22200438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 489360, 489215, 489072, 488931, 488792?\n\"Answer: f**2 - 148*f + 489507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.00276.\nAnswer: 0.000828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4 + 3)\/((-4)\/(-6)). Suppose 3*y = -2*g + 19, -3*g + 8 = -k*y + 17. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*v - 288, 2*t - 4*t + 108 = 4*v. Calculate the highest common factor of 108 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -532285937\/952 - -559124. Calculate the common denominator of -119\/40 and j.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 65891 = 38318. Suppose a = 4*f + 707. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -1. Let r(z) = -z**2 + 2*z - 6. Let c be r(4). Is w equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - -1) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 - 3*u - 19. Let c(i) = -14*i**2 + 7*i + 37. Let h(n) = -6*c(n) - 11*w(n). Let x be h(-2). What is the greatest common divisor of 99 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -4)*(-6)\/(-9). Suppose s*k = -2 + 6. Let x(a) = -5*a + 1. Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*u + 17 = 0, 6*u + 159 - 183 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.249442 rounded to 2 decimal places?\nAnswer: 67.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**7\/70 + 7*s**6\/40 + s**4\/4 - 4*s**3\/3 - 10*s**2 + 3. What is the second derivative of w(a) wrt a?\nAnswer: -36*a**2 + 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 3, -0.2, -7\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/(-9) + 4\/(-18). Let p be (-2 + 7)*(3 + j). Is 33 a factor of (p\/(-30)*3)\/(1\/198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*v + v - 4, 3*t + 4*v = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. Let d be u*(1 + 0)*0. Suppose d = -5*n + 48 + 12. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 25. Suppose 127 = c*h - 83. Suppose -h = -2*a + 6. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 967\/455 - (16236\/429 + -38)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 32. Let p = 35 + z. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by (-7 - 1159\/(-152))\/((-2)\/(-80))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + 2 - (1 + (sqrt(76)\/sqrt(4))**2) - (sqrt(1216) + (-1*sqrt(1216) + -3)**2)) + 0.\nAnswer: -1243 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*p + 8*p**3 + 35*p**3 - 128*p.\nAnswer: 43*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34998 - -119028199\/3401. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 622?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -7 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54304 divided by 103.\nAnswer: 54304\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 2) in base 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 - -88. Let d be 1 - w - 5\/(-7). Which is the closest to d? (a) -5 (b) -3 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 15 = -5*g, -2*d = -5*g - 15. Suppose 5*x - 7 = 2*l, -7*x = -5*x + 2*l. Put g, 4, -3, x in ascending order.\nAnswer: -3, g, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/30)\/(56\/570) and -137\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/((-10)\/(-25)). What is the tens digit of 72\/45*15\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4782 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - s**2 - s. Let x(d) = -82*d**3 - 4*d**2 - 3*d + 4. Let i(u) = 3*n(u) - x(u). What is the third derivative of i(p) wrt p?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000380148 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1266 (base 9) to base 12\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 211781b8?\nAnswer: -211781b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 3979875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48933 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*o + 8*o. Let h be (-1)\/5 - 44\/o. Suppose -2*q + 5*q = s + 63, 0 = q - h*s - 21. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 48*g + 95. Let c be k(4). Sort c, 0.03, -2\/13.\nAnswer: c, -2\/13, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5272.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1418, 6417, 14750, 26417, 41418, 59753?\nAnswer: 81422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911)*2 - sqrt(1911) - sqrt(1911))\/(sqrt(3)*1*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 23*p - 19*p + 44 = 0, 0 = -2*r - 9*p - 55. Solve r*u = -16, 0 = -q + 5*u + 12 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/15 - 321*o**4 + 618246*o**3 + 30*o**2 + 21*o - 3. Factor j(g).\nAnswer: 4*(g - 963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10442 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100\/1717 - 6\/101. Put l, -5, -0.2, -67 in decreasing order.\nAnswer: l, -0.2, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 13*v**2 + 5*v - 12. Determine u(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-91)\/26*40\/(-14). Suppose 47 = 4*u - 65. What is the derivative of -8*s**4 - 10*s**4 + b + u*s**4 wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6 - 0. Let a = v - -17. Let n = 379 - 374. Calculate the greatest common divisor of n and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + 2. Let g = 213 + -210. Let o = g - 2.1. What is the closest to o in 0, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8738829 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:57 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -8, -8, 4, 34, 88?\n\"Answer: l**3 - 3*l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 22*a + 10*a + 7*a + 6*a + 88. Let s(j) = 2*j. Determine k(s(w)).\nAnswer: -2*w + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*g - 29, 2*g - 8 - 5 = 3*o. Are 74 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -y - 5 + 13, -3*j = 3*y + 3. Determine i so that -105\/8*i**4 + 15\/2*i**2 - 33\/8*i**j - 3\/2*i + 0 = 0.\nAnswer: -1, 0, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3 - l**2 - l**5 + l - l**3 - 6 + 2. Let i(p) = p**5 - 2*p**3 + p**2 + 2*p - 2. Let a(k) = i(k) - 2*v(k). What is the third derivative of a(w) wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1625179*b**4*p**3 + 1201033*b**2*p**3 wrt b.\nAnswer: 39004296*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243736.7 micrometers to meters.\nAnswer: 0.2437367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.23091 * 27\nAnswer: 6.23457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -69*a**4 - 5*a**3 - 97*a**2 + 5. Let k(d) = -34*d**4 - 3*d**3 - 48*d**2 + 3. Let l(c) = 5*k(c) - 3*z(c). What is the third derivative of l(n) wrt n?\nAnswer: 888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136352053*v**2 + 231544822*v wrt v.\nAnswer: 272704106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34005 (base 7) in base 8?\nAnswer: -20604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t**(-2)\/t*t)\/(t*t**(3\/26)*t**(2\/7)*t) assuming t is positive.\nAnswer: t**(-7573\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707209?\nAnswer: 41, 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - p + 8*p - 17*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 - 12*r**2 - 9*r**2 + 197*r + 799*r + 19.\nAnswer: -4*r**2 + 996*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - w - 53 = -6*w, -3*l + 44 = -4*w. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a + a)*(-2 + 4*a + 2) + (-4 + 4 + a**2)*(-3*a + 4*a + 2*a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -49f455?\nAnswer: 49f466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let r be g(2). Let t be 10\/r*(-12)\/10. Calculate the greatest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10405 (base 6) to base 16.\nAnswer: 5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 3*s - s - 6, 4*s + 30 = 3*r + 42 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -84*w**2 + 0*w + 110*w**2 + 0*w. Let o(z) = z. Determine b(o(m)).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9345245*k - 30. Let r be 1 + (-10)\/(-5) + 7. Let y be z(r). Suppose y = -16*v - 93747580. What is v rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 8310*x\/7 - 4744.\nAnswer: -2*(x + 4)*(x + 4151)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50039703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.57, -1, 2 in decreasing order.\nAnswer: 8, 2, 0.57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1003?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/(-58)*(-10)\/(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1666, -6557, -14700, -26089, -40718, -58581, -79672?\n\"Answer: u**3 - 1632*u**2 - 2*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*r**2 + 233*r**2 - 3245*r**2 - 773*r**2 - 1743*r**2.\nAnswer: -5013*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 3, e: 6, y: 1}. Give prob of picking 2 z and 2 e.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let v be (8\/(-5))\/(2 - 33\/15). Let i be c(v). Solve 2*u - 1 = -y, -20 + i = -4*u - 4*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*b = -16, 0 = -5*j - 3*b + b + 24. Suppose j*w - 7 = -3. What is the closest to -1 in w, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 - -122.8489?\nAnswer: -64.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 11:36 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 67.2. Let g = 3.802 - -0.098. Let w = g - 4. What is the biggest value in j, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5696 divided by 16?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose 3*l + 339 = -5*a - 39, c = -2*l - a - 259. Let o = 212 + l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3444999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5360 and 6432?\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13152*d - 13157*d - 25. Let b(v) = -3*v + 26. Calculate b(d).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 3:43 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrsrqhshus. What is prob of picking 2 r?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256504684 to the power of 1\/3, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {j: 1, m: 16, p: 3}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1099 - -2192\/3297. Suppose 2*i + 0*v - v = 13, -3*i + 4*v = -32. Let p = i + -3. Which is the closest to 0.07? (a) 2 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/9)\/h)*h\/h**(-1\/11))\/((h\/h**(4\/3))\/h**(1\/13)) assuming h is positive.\nAnswer: h**(4649\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -19.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22490 + 22490.1. Let m = -3 + 3.2. Let z = 5.4 + -5. What is the closest to m in 10, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -528, -1974, -4384, -7758, -12096?\n\"Answer: -482*a**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 + 3*o**2. Let w be u(2). Let n be (-2 - w\/28) + 1. What is the third smallest value in 5, n, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736913003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1, 0, -129 in decreasing order.\nAnswer: 4, 1, 0, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -12*d + d. Suppose -3*r + 3 = d*x - 25, 0 = x - 3*r - 14. Calculate the highest common divisor of x and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10880*w**2\/7 + 2664*w\/7 - 180\/7.\nAnswer: 4*(10*w + 3)*(272*w - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/14)\/((-57)\/3591).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmf when four letters picked without replacement from cmbfbmbbmbbmb?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h - 16*h + 37*h + 2*h + 3 - 3 + (-21 - 24 - 41)*(4*h + 0*h - 6*h) in the form w*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 25*v - 64. Let p be y(22). Let z(m) = -5*m - m + p*m + 0*m + 9*m. Let r(d) = 43*d**2. Determine z(r(g)).\nAnswer: 215*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 27 = 2*v - 7, 4*v - 80 = -3*q. What is the least common multiple of q and 420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0*l + 2*l - 2*l + 6*l. Let s(n) = -4*n**2 - n. Let q(c) = -24*c**2 - 3*c. Let g(a) = -q(a) + 3*s(a). Determine g(z(f)).\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 71 - 2*b - 136 + 43.\nAnswer: -2*b + 38","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 3054425 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + (7 - 7). What is the units digit of ((-2)\/3 + w)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let s = 7.5 - 1.5. Let v = s + z. Which is the biggest value? (a) v (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 3 - 3 - 6. Let n be t(-12). List the prime factors of ((-3)\/(-2))\/(n\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*s - 357760 - 291346. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2203 + 994 = 194*y - 1071. What is the least common multiple of y and 12156?\nAnswer: 133716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Solve v*y = -4*k - 20, 6*y - 5*k - 11 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050005 = 3*v - 2*u + 3*u, 4*v + 3*u + 1400015 = 0. What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**3 + 9*h**2 + 48*h**2 + 303*h**3 + 82*h**3.\nAnswer: 446*h**3 + 57*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/73 + 4664\/365. Let k(s) = -s**3 + 6*s**2 + 2*s + 1. Let l be k(5). What is the common denominator of d and (-2)\/9 + 863\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t - 123 = 0, -4*t + 7 = -5. Calculate the common denominator of (h\/(-44) - 0) + 3 and 43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941792 is divided by 20473?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 3 = i. Let s = -50 + i. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(2 + 1 - 5)*(4*u - 3*u - 2*u)*(2*u - 4*u + u)*(-u + u + 4*u**2).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -47. Calculate the remainder when 23\/1*(-1 + 2) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 1722*j**2 - 8757*j + 41688.\nAnswer: 3*(j - 579)*(j - 3)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, v: 2}. Give prob of picking 1 v and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + -119 - (1 - 0) - -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*w = -6. Put w, -1, -4, 2 in descending order.\nAnswer: 2, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 (base 15) in base 6?\nAnswer: -2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 13 + 332, 222 = 3*l - 3*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 2*i**2 - i - 2. Suppose z = 3*n + 1 + 13, -2*n = z + 16. Let y(x) = -x**2 - 9*x - 6. Let v be y(n). Let t = v - 14. What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.9, -35\/2 in descending order.\nAnswer: 0.9, -1, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 187757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*a = 13, -2*a = -2*z - 2 + 16. Let r be 3 + (1 - z) - -1. Suppose r*d + 5*g + 3 = 2, 2*d = -g + 4. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 323340169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 1458?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 16, -z + 2*o + 4 = -o. Let t(l) = -l**3 - 7*l**2 + 7 + 3*l + 2*l**3 + 2. Calculate the remainder when t(7) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 5:14 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3467\/9 + 386. Let q = 2551 + -114742\/45. Let i = h - q. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 4633.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12105)\/(-20) - -4)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064017008 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 526 - 522. What is the nearest to -20 in n, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.890339ml to litres.\nAnswer: 0.007890339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-810)*-6)\/(2\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 23. Suppose v = 4*v - f. Solve 5*j - 4*h = v, 3*j - 2*h = 3 + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 - -480. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + k**2 - 2*k + 1. Let w(q) = -q**3 + 6*q**2 + 4*q + 24. Let g be w(7). Suppose 7*x - g - 4 = 0. Give v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144\/(-33)*(1 - (-145)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/((-210)\/(-45))*(-2)\/(-12))\/(-17).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891196 is divided by 99016.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3. Let j be (2 - 30\/18)*-6 - -3. Determine q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137\/15, -39, -352 in increasing order.\nAnswer: -352, -39, -137\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68)\/sqrt(2)*3)\/(sqrt(4)\/sqrt(32)).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 23*j + 4. What is y(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20858 * -186.\nAnswer: -3879588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:17 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 10*p + 13*p - 2, -p - 8 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 2. Let a be l(-5). Let q(n) = 2*n**2 - 12*n + 8. Let r(t) = t**2 - 6*t + 4. Let v(h) = a*r(h) - 4*q(h). Determine v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 + g + 2. What is the units digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + -56. Let x = -44 - t. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let v = 30 - 31. Sort 5, j, v.\nAnswer: v, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 4, i: 3, y: 3, d: 1, x: 3}. What is prob of picking 1 r, 1 y, and 1 d?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7951*n**2 + 240639*n - 240639*n as w*n**2 + u + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144124909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 3, 0 = 3*d + 5*v - 80. Let h(f) = -988*f - 21664. What is the remainder when h(-22) is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*r - 25 = 0, 0 = -106*l + 103*l - r - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531795 + 531795 + 0*r**3 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1467 and 376041.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -74, -100, -126, -152?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000047206 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**4 - 42238*f**3 - f**2 + 466415*f?\nAnswer: -360*f - 253428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (792\/(-440) - 3)\/((-4)\/(-65))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 - 96*q**2 - 2*q + 34. Calculate h(24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s - 2. Let n be x(-7). Suppose 0 = 2*k - i + 247, 598 = -5*k + 335*i - 339*i. Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(35 + 22 + 9)*(2 + 2 - 3).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + (23 - 1 - -35 - (1 - -2))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Let s = d + -2.4. Let g = 862 + -866. Sort -3\/5, g, s, 3\/2 in descending order.\nAnswer: 3\/2, s, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1688136, -3376269, -5064402, -6752535, -8440668?\nAnswer: -10128801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*v - c - 460, -3*c - 351 = -3*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161057.9441 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, -59\/241, 0.154, -4?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/331 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*35\/945)\/(2 + (-13)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 324 + -3?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, n: 2, u: 3, h: 6}. What is prob of picking 3 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*12\/270*-27.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294768423.\nAnswer: 3, 17, 642197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057955, -1057974, -1058003, -1058042, -1058091, -1058150, -1058219?\nAnswer: -1058298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*a - 10, -u = -0*a - 2*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (1 - 0))*(-18 - -16). Let i(s) = -2*s**p - 14*s + 0 - 2*s - 3 - s. Let n be i(-8). Solve -n = -2*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 2 (c) -31 (d) 3 (e) -12\/31 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/11 + 59227*c\/11 + 118450\/11.\nAnswer: (c + 2)*(c + 59225)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1304 divided by 326\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grddrbz. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0, 4.\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347836?\nAnswer: 2, 86959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16\/3*(13 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -225*i**2. Let c(g) = 12246*g**2. Determine c(o(m)).\nAnswer: 619953750*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 1\/4 (c) -4577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.3 - 14.2. Sort -1, -0.4, 1, s in increasing order.\nAnswer: -1, -0.4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148125 plus 56.9209?\nAnswer: 148181.9209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3326261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 43. Solve 2*w - p*h - 11 = 0, -14 = w + h + 4*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239 - 7*u + 4*u - 86 as w + t*u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 197.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7314 or 7313?\nAnswer: 7313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -44*p + 108 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034.1 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**5 + 3*m**4 - 156*m**3 + 6*m**2 - 227.\nAnswer: 420*m**2 + 72*m - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5797?\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14) + 1320\/154\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-1344)\/(-1232))\/(39\/286)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + g + 26 = -13*z, 3*z = g + 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175760 and 523120.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40682, -81354, -122028, -162704, -203382, -244062?\n\"Answer: -w**2 - 40669*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:13 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3*u + 3. Let o be d(-4). Let w be ((-2)\/4)\/(o\/(-12)). What is the units digit of 0\/(-3) - w - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 17*x**2 - 19*x - 24. Give s(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f**2. Suppose 5*p - 8 = 22. Suppose 5*r - 8*r = -p. Let j(z) = 258*z - 258*z + 2*z**r. Determine j(c(s)).\nAnswer: 512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(1 - 3) - (-35 + 29). Put h, 0, -1, 2 in ascending order.\nAnswer: -1, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 4*o - j, 5*o = 4*j + 56 + 204. Let k(p) = -258*p + 10110. Calculate the lowest common multiple of o and k(39).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22 in 5, 2\/9, 1.15, 2\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 27*v - 16. Determine a(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3 + (-2 - -4). Suppose 4*o = 5*u - 8, p*u - u = -2*o + 10. Suppose 0 = 2*h - 0*h - u*l + 20, -3*l = 2*h - 8. Sort 4, h, -5 in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -15\/2*c**2 + 0*c + 104. Let y(l) = 5*l**2 + l**2 - 2*l**2. What is y(g(n))?\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 1 - (-3)\/(3\/2). Let z(c) = -12*c - 2. Is z(k) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100030203 + -20?\nAnswer: 100030123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llee when four letters picked without replacement from {l: 2, e: 10, x: 1, b: 1}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 87*k**2 - 572*k - 960.\nAnswer: -(k + 3)*(k + 4)*(k + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibbbbbggbibbgbbbbi. Give prob of picking 1 b, 1 g, and 1 i.\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) -114 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1138 - -791. Let c = -418 - o. Is c greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b. Let q(a) = 2*a**2 - a. Let d = 0 - -1. Suppose 0 = o + 3*o. Let m = o - d. Determine m*t(y) + q(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -128, -272, -452, -656, -872, -1088, -1292?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2457\/(-21)*(-2)\/3. Let i be 3\/(-20) - u\/(-195). What is the second smallest value in i, -3.8, -4?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*d = 6*j + 7, 3*j = -2*d - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiikiiikiiiiki. Give prob of picking 3 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 - 222*i**3\/5 + 1932*i**2\/5 - 3202*i\/5 + 1491\/5.\nAnswer: (i - 213)*(i - 7)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*f = -10, -f + 22 = w - 0*w. Let x = -11 + w. Calculate the lowest common multiple of 5 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 2237*z - 2242*z - 5*i, 3*z - z + 31 = 2*i + 7 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - ((-5 - -3) + -6)) + 23 + -4 + -29\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3494\/(-8) + (-3)\/12. Let w = -430 - y. Solve 0*q = -3*q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + 4*g - 1. Suppose 0 = 3*b - 9 - 6. Suppose 2*p = -2*p - 8, 0 = 3*t - b*p + 5. Let n be w(t). Solve -n*q - 7 = -27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -7*f + 5*f. Suppose -52*p + 107 = 33 - 30. Calculate the lowest common multiple of p and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-56)*(-1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2 - 5*t + 40. Determine a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*s + 84 = -3*t, -60206*t - 55 = -60205*t - 3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-15) + (-1)\/(-5). Let c(h) = -h**2 - 17*h + 24. Let d be c(-18). Let b be 150\/20*(-1 + (-63)\/(-35)). Solve -w*l = -b*l - d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 19*k + 6 + 12 - 7. Let w(u) = -5*u + 4. Determine 4*q(z) - 11*w(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.6, 1, 2.7 in increasing order.\nAnswer: -0.6, -0.5, 1, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 4*z**3 - 3*z**3 + 29*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 29483744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3197*x + 367. Does 108 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 4\/3*t**3 + 1\/4*t**4 + t**2 + 6 + 2*t. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x - 3. Let l(i) = -i**3 + i**2 - i. Let u(r) = -l(r) + y(r). Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8590 and 642?\nAnswer: 2757390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 18 = -4*c, -47 = -2*h - 4*c - 35 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u + 148. Calculate the least common multiple of 10 and f(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h\/(h*h\/h**(1\/3)*h))\/h)\/h))\/(h*h**(-34))*(h\/h**(8\/17)*h)\/(h**(-3\/16)\/h) assuming h is positive.\nAnswer: h**(32953\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71389 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20.5. What is the smallest value in 0.8, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/8 + 9\/6. Let o(i) = -i**2 + 2*i - 2. Let d be o(x). Let w(r) = -r**3 - r**2 - 2*r - 2. Does 5 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -475.354 + 459. Let h = s + -0.446. Round h to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000329 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let m = 3 - w. Suppose -3*z - 3*q + 24 = 0, 7 + 27 = 5*z + m*q. Sort 2, z, 4 in decreasing order.\nAnswer: z, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.09 (c) 3\/4 (d) 3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 29*f + 89. Suppose 0 = 3*a - a + 2. What is the remainder when 1 + a + 129\/3 is divided by b(26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181567289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145.9 + -147. Let p = n - -1.2. What is the second smallest value in p, -0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 40 - 25. Suppose 2*n = 3*l - 184, 2*l - 77 = w*n + 44. Suppose -j - 7 + 23 = 0. Calculate the remainder when l is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7899, -7898, -7897, -7896?\nAnswer: -7895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6380779.\nAnswer: 1\/6380779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58313 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 + 5 = 0. Find the second derivative of -21*n**u + 25*n - 5*n + 6*n**3 + 21*n**2 wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-91 - -140) - 33.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:22 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*l**2 + 22*l**2 - 1347*l**3 + 1343*l**3 + 769 wrt l.\nAnswer: -12*l**2 - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-2)*(1 - 3). Let c be i\/(-4) + 1\/4. List the prime factors of 1\/c + 225\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 20*g - 3*g + 0 + 9*g**2 - 7*g + 3. What is the tens digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2382, 4618, 6854, 9090?\nAnswer: 11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 - 43*u + 14. What is k(5)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 2426.\nAnswer: -13, 3, 2426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**4 - 16*r**4 - 24*r**3 + 16*r**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16346.\nAnswer: 2, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 5*f - 7\/3*f**3 - 7 - 1\/4*f**4 + f**2. Calculate m(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 115 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34865407 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*u + 24 = 0, 5*u - 666 = 3*q - 639 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((0 - 2) + -1). Suppose 3*y + i = 5*y. Let n(p) = -p**2 + 3 + 0 - p - 2. What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrddxdjrrdxdwdrjdjdr. What is prob of sequence djxd?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -122320310100 (base 4) in base 9?\nAnswer: -14232606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -42. Suppose 0 = -3*u - 2*r + v, -5*u + 0*u - 4*r + 26 = 0. Suppose -u + 6 = 2*b. Solve -2*k + 8 = 5*t, 0*t - b*t + 12 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34*r**3 + 4*r**2 - 2*r - 2. Let f be j(2). Is 8 a factor of 9\/(-12) + f\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 60*z - 142. Calculate b(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324406681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**7\/63 + 11*i**6\/45 - 11*i**5\/10 + 5*i**4\/18 + 50*i**3\/9 + 965*i. Suppose o(c) = 0. Calculate c.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 + 0.11. What is the smallest value in q, 0.3, 3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135702704463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2343*i - 2379 = 2343*i - 4747*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.91007um in centimeters?\nAnswer: 0.001091007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-43 + 41 - 55).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.177? (a) 9 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 72. Let j be x(20). Let k(g) = -8*g - 16. Let m(s) = -s - 1. Let c(u) = -k(u) + 6*m(u). Determine c(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*4)\/(-3) - 1. Suppose 0 = 4*j + y + 75, -s*y + 14 + 1 = 0. What is the smallest common multiple of 2 and (11 - -1)\/(j\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23)*q*q\/((q*q**13*q)\/q)*(q\/q**(4\/11))\/q**(-2\/55))**(-30) assuming q is positive.\nAnswer: q**(11328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*-2*4 - sqrt(4)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973 = 144*o - 755 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40767677869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**5 + 321*g**4 - 1224*g**3 + 1806*g**2 - 1194*g + 297.\nAnswer: -3*(g - 1)**4*(2*g - 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((3\/(-4))\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 255, -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2 (b) 0.3 (c) 0 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -15*d**2. Let c be -11 + (-2 - -2) + 2. Let a(u) = -u**2 + 6. Let l(r) = 16. Let m(q) = -8*a(q) + 3*l(q). What is c*m(h) - 5*y(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19aab + 4?\nAnswer: -19aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302003201 (base 4) to base 6.\nAnswer: -4221105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2150 and 516?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 2*t**2 + 0*t**2 - 17*t to the form f*t + n + a*t**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/((-3)\/9))\/(1602\/774 - 2). Solve 18 = 40*t - v*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 19 = 4*n + 13, -3*h - 1 = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*k + 216*k - 112*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*i + 452*i - 886*i = 644 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = v + 124, 428 = -4*v + 4*n. What is the common denominator of (7\/v)\/((-3)\/(-198)) and -101\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161492*b = 161486*b - 72 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -9) + -10 + (-11 - -12) + -2 + 120?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b6e49 + -a?\nAnswer: -3b6e54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 5*h**2 - 5*h + 6. Suppose w = -24 + 28. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 3*h + 4. Let n(g) = g**2 + 5*g - 5. Let k = -4 + -2. Let b be n(k). Let d be -5 - (0 - b) - 0. Calculate c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - 33\/(-22) - -120. Suppose -16*w + d = 25. Solve 2*h = -h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*j + j - 411, -417 = -4*j - 5*i. Suppose -2*y + 0*u = -u - j, -4*u + 12 = 0. Suppose -4*o + y + 31 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -309038 - 3?\nAnswer: -30903b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 23 = 3*c. Suppose 0 = z + 5*h - 62, 2*z + h - c = 86. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4 in ascending order.\nAnswer: -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyaajyy. Give prob of picking 4 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 6381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 11:27 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132, 118, 98, 72, 40?\n\"Answer: -3*r**2 - 5*r + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2344*g - 16402. What is z(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -727058*0.101\nAnswer: -73432.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -7705456?\nAnswer: 7705451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 17600*b - 11720304 = 0. Calculate b.\nAnswer: -3582, -818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -1606 - 1083*g + 858 - 1406 - g**2 - 2*g**2 = 0.\nAnswer: -359, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8 (base 15) to base 16.\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/((-2960)\/1297984) - 4\/(-20). Calculate the highest common divisor of 275 and b.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 + p + 2. Let d be z(-4). Let h be (4590\/93)\/10 - 4\/(-62). Solve 2*u = -2*q - d, -u = -0*u - h*q - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38627195 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {k: 5, p: 1, x: 7, y: 5}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgbbbgbb. Give prob of sequence gg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - -0.313. Round s to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-138))\/((-96)\/(-162)*15\/(-4))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 5*f**2 - 16\/3*f**3 + 5\/6*f**4 - 1\/30*f**5 + 0*f + 3. Factor o(h).\nAnswer: -2*(h - 8)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/5024?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1 + -7 - (15 - 19) - (243 + -233))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 (base 16) in base 11?\nAnswer: 6483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 - l - 7. Let z be v(-4). Let o = z + 116. What is the third derivative of t**5 - 34*t**2 + 18*t**5 - 1 + o wrt t?\nAnswer: 1140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*f**3*r - 91*f**3 + 2191*r wrt f.\nAnswer: 30*f**2*r - 273*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x + 4. Let q be r(-2). Let l = q - 56. Let f = 23 + l. Sort f, 0.03, 2\/9.\nAnswer: 0.03, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795482.\nAnswer: 2, 41, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 - 132*z**4 - 10920*z**3 + 397648*z**2 - 1455648*z + 1410048 = 0. Calculate z.\nAnswer: -54, 2, 32, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) - 384\/(-28). Let g be 3*(7 - 2)*(-2)\/6. Let h = g + k. Calculate the greatest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)*-1)\/sqrt(8).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -434?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1880, -7557, -17136, -30713, -48384, -70245?\nAnswer: -96392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 5:13 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398620711041 plus -3.5?\nAnswer: 1398620711037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(26\/9)\/(m**(-13\/4)*m)*(m**(-1\/2))**(1\/19) assuming m is positive.\nAnswer: m**(3497\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -120\/31 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2480 and -59\/2405.\nAnswer: 1192880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from xooxxxxxxo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 5*a + 4*s - 6 = 0, -3*a + 5*s - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 and -89\/1284.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n**2 + 5*n - 3. Let d(o) be the second derivative of -2*o**4\/3 - o**3\/3 + o**2\/2 + 9*o. Let i(z) = -5*d(z) - 2*g(z). Is i(4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(sqrt(624) + sqrt(624)*-2) + sqrt(624))\/(-2*sqrt(432) - sqrt(432)) + 4)**2.\nAnswer: -8*sqrt(13)\/9 + 376\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(2 + 5 + (1*sqrt(11))**2) - (-4*sqrt(539)*-1*3*-4)**2.\nAnswer: -1241894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-6))\/((10 - 4)\/36). What is the highest common divisor of g and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (-2*3*sqrt(288) - sqrt(288)) + -1*sqrt(288)*2)\/(-3*sqrt(96) + (sqrt(6) - sqrt(378)\/sqrt(7))).\nAnswer: 16*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-29 - (-979)\/33). Determine x, given that -26\/3*x**i + 0 - 4\/3*x - 6*x**2 - 4*x**4 = 0.\nAnswer: -1, -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3*u)*((-5 + 2 + 2)*(u - 4*u - 2*u) - u + 0*u + 2*u + (-2 - 2*u + 2)*(-4 + 4 - 1)) to b + r*u + j*u**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4180\/(-522) - -6 - (-4)\/2. Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.7. Let x = -33 + 32. Let s = 1.4 + 0.6. What is the nearest to x in s, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -2.3. Let b = 4 + f. Which is smaller: -2\/25 or b?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - x + 3 + (-10*x + 5*x + 26*x)*(19 + 35 - 23)*(-3 + 2 + 2).\nAnswer: 650*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31929904121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -52. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -3101164?\nAnswer: -3101171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 15, -3, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/2))**(-1\/5)\/(a**(-21)*a*a**(1\/2)\/a) assuming a is positive.\nAnswer: a**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 plus -0.0028623286694?\nAnswer: -0.1148623286694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 202, 206, 208, 208, 206?\n\"Answer: -g**2 + 7*g + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1083352 and 16808?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/(-7)) + (-11205)\/8300?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265.511 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(-1 + sqrt(112) + sqrt(112))*6 + 0)*5)**2 + 2 + 3.\nAnswer: -72000*sqrt(7) + 2020505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - 5*u**4\/12 - u**3 + 2*u**2 + 2*u. Let d be g(6). Let q = d - -1. Solve -22 = -4*r - q*t, r - t + 3 = 2*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by -459.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.058 + 3.942. Let z = -0.2 + 0.2. Which is the closest to z? (a) 1\/2 (b) w (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by 49\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 5 - 4)*(1 - 5 + 3) + 3 - 5 - 1)*(1 - r - 1) as z + n*r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 1 (c) -0.1 (d) 0.2 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 683272327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, -5, -1\/25, -2, -161?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33840 and 67680?\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 7*f**2 + 8*f + 2. Determine c(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 714, 1, 5\/2 in increasing order.\nAnswer: 1, 5\/2, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -14*i**4 - 13436*i**3 - 49696*i**2 + 15296*i = 0.\nAnswer: -956, -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35335 - -177281\/5. Does j = 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2325)\/2511) + -1 + (-29)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 2*c**6\/15 - 3*c**5\/10 - 4*c**2. What is the third derivative of f(b) wrt b?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.266401 litres?\nAnswer: 7266.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 - (-346)\/99. Is t less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149506, 298935, 448364?\n\"Answer: 149429*r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**4 + y**4 - y**4 + (y - y + y**3)*(-2*y + 4 - 4) + (1 - 2*y**3 - 1)*(-2*y - y + 6*y) - 8*y**4 - 12*y**4 + 7*y**4.\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-5))))\/(j*j**5\/j)*(j\/(j*j**(2\/9))*j)\/(j*j**(-2\/11)) assuming j is positive.\nAnswer: j**(-895\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 863461061.\nAnswer: 863461049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkkkikkki. Give prob of sequence kkii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 7*n**2 - 104 - 108 + 253.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(17))**2 + (-5*sqrt(68))\/sqrt(4) + (-4*sqrt(170))\/sqrt(10) + sqrt(2499)\/sqrt(3).\nAnswer: -38*sqrt(17) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 62, 1, -4, -3 in decreasing order.\nAnswer: 62, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(2*40\/(-32)). What is the second biggest value in -0.008, z, 4, -3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314948299.99999987 + -314948293. Let b = -1.6 + 8.6. Let p = m - b. Round p to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156743718?\nAnswer: 2, 3, 71, 101, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*6*(sqrt(1539) - -2*sqrt(1539)) - (sqrt(1539) - 1*sqrt(1539)*-1)*-4) + -1)**2.\nAnswer: 4608*sqrt(19) + 100859905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005414859383 rounded to 6 dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -219, -226, -85, 204?\n\"Answer: 74*m**2 - 229*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1901 <= -1899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-3965.557.\nAnswer: -1586.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -141, -211, -281, -351?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**5 - 15*y**4 - 9*y**3 + 21*y**2 - 3*y. Let k(o) = o**5 - o**2. Let w be (7\/14)\/((-2)\/24). Let j(m) = w*k(m) - s(m). Suppose j(u) = 0. What is u?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2297\/35 - -341\/5. Sort c, 0.4, 4 in descending order.\nAnswer: 4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482177 is divided by 60270.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let s(j) = 10*j + 5. Let p(h) = 4 + 2 - 3*h + 14*h. Let a(r) = -r + 14. Let k be a(8). Let u(v) = k*s(v) - 5*p(v). Determine u(l(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.088091ml in litres?\nAnswer: 0.004088091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*x**3 + 57185*x**2 - 32104280*x - 685833740 = 0. Calculate x.\nAnswer: -103\/5, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 643139395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1754 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6062, 6052, 6042?\nAnswer: 6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/228*(4 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 481792 - 25?\nAnswer: 481769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*n = -108*n + 880. Let k = n - -223. Solve 12 = -k*i + i - 4*w, 0 = -3*i + 3*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18480 and 3360?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -399*d**2 - d**3 + 5*d**4 + 4*d**4 + 380*d**2 - d**4 - 3*d**4 + 7 in the form q + a*d**4 + m*d + f*d**3 + y*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1132 - -311?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 55\/3. Suppose -10 = -2*b, 0 = -p - 3*p + 3*b - 19. Let f = 1 + p. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, f: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -503 - -506. Let t(s) be the second derivative of 0*s**2 + 1\/6*s**4 + 1\/3*s**6 - 2\/3*s**i + 9*s + 4\/5*s**5 + 0. Factor t(f).\nAnswer: 2*f*(f + 1)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:21 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 145, 9, 2 in decreasing order.\nAnswer: 145, 9, 2, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/10))**(-28) assuming c is positive.\nAnswer: c**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13. Let z be y\/(-3) - (-4)\/12. Suppose -4*x + z*j = -24, 0*x + 5*x + 5*j = 0. Solve 5*c - 4*w = 5, -x*c + 4 = -2*w - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6574221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -11 + (12 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h*h*h*h*h*h**(-10)\/h)**(-43) assuming h is positive.\nAnswer: h**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/40 and 4\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:21 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14663496 is divided by 23689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 3 - (23 + -22 + 42).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 697\/12. Let x = -2\/175 - 871\/350. What is the third biggest value in -2\/3, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 821124 by 4.\nAnswer: 205281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 20 = -5*z, 157734*z - 157729*z + 5 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2. Suppose -2*h - 4*g + 2*g - 16 = 0, 5*g + 19 = 2*h. Let p be m(h). Suppose -3*n = -102 - p. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 51?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*a + 102, 4*v + 132 = -4*a + 6*a. Let x(w) = 0*w - a*w + 55*w. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 t when three letters picked without replacement from {d: 4, t: 1, c: 4, k: 7, s: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1009*x + 2655 + 1331*x + 2384*x + 2130 wrt x.\nAnswer: 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1652)\/(-6) - (24\/18 + -1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68*(-9087)\/537680 - (-6)\/5 and -17\/1504.\nAnswer: 16544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*l**3*r - l**2*r + 8133*r wrt l?\nAnswer: 498*l**2*r - 2*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1338988 divided by 9\nAnswer: -1338988\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379255410541130 + -1482262883788415977343\/3908350. Let r = v + 1\/78167. Find the common denominator of r and -53\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9 and 37\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (24 - (-1 - -42)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 3*l - 3*l + (-26*l + 47*l + 7*l)*(-2 - 3 - 6).\nAnswer: -307*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 5:21 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -4.7. Which is the closest to 0? (a) -1\/5 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3372*j**2. Let m(u) = 6*u**2 + 3. What is m(y(x))?\nAnswer: 68222304*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132100303 - 12130?\nAnswer: 132033123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 28*i**3 + 64*i**2 + 48*i = 0 for i.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*z**3 + 5*z**3 + 11*z**3 + (z - 4*z**3 + z**3 - 1 + 2*z**3 + 2*z**2)*(16 + 15 + 7) - 2*z**3 - 3*z + 3*z.\nAnswer: 19*z**3 + 76*z**2 + 38*z - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let f(a) = 2*a - 11. Calculate -f(w) + 6*j(w).\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 9) + -1 + 0 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/19, 2832, 4889.\nAnswer: 3\/19, 2832, 4889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93905074*d**4 + 971657*d + 93 wrt d.\nAnswer: -1126860888*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6128 + -6148. What is the biggest value in -5, 8, 0.08, l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253636 - 4974*k**3 + 253636)*(0 - 3 - 3).\nAnswer: 29844*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1068 + -1068.032. Put -1, -3, 0.4, o in decreasing order.\nAnswer: 0.4, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 952 = x, 0 = 4*t - 2*x - 0*x - 1270. Let z = t - 310. Solve 0 = -z*v + 9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 14 = -22*j - z, -3*j - 2*z + 19 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i - 294 = -14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356 + -211. Suppose 6*d - 131 = f. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7636 + 3817 + 9*x + 3832 - 3*x**3 to d + y*x**3 + l*x + j*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -55*v**3 - 4077*v**2 - 527*v - 313. Give b(-74).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*v + 35, 2*s - 2*v = 5*s - 16. Let h be 2\/4 - (-9)\/s. Solve -2*f = p - 2*p - 3, -5 = -h*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}