diff --git "a/data/dm_maths/full_data_2/1180_11255.jsonl" "b/data/dm_maths/full_data_2/1180_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1180_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i be -2*9\/6*-1. Let z(v) = v**3 + 8*v**2 - 2*v + 6. Let c be z(-8). Let p be ((-33)\/c)\/(1\/(-8)). Solve i*d = 4*g + 12, 2*g + 3*d = 4*g + p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341316194 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h, -12*a = -7*a - 2*h - 9813. What are the prime factors of a?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n**3 + 3*n)*(-108*n**2 + 42*n**2 + 48*n**2).\nAnswer: 36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87*c**2 - 206*c**2 - 186*c**2)*((-3 + 1 - 3)*(-4 + 4 - 3*c) + 0 - 2*c + 0) to j*c**2 + i*c**3 + q + p*c and give i.\nAnswer: -3965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20936729 from 182332.\nAnswer: -20754397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - 147. Let j = q - -157. Solve 6 = j*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3805 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(-3\/5)\/(n**(-1\/5)*n**(-1\/3)) assuming n is positive.\nAnswer: n**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3993 = -482*b + 361*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3316 = -4*a - 2952. Calculate the highest common divisor of 175 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 - 4*c + 4. Suppose -h = 5*x + 21, 2*h + x = -4*x - 12. What is the remainder when u(4) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(1331) - (sqrt(1331) + sqrt(1331)*1)) + 1 + 0 + 5 + (sqrt(1331) + sqrt(1331) + sqrt(1331)*-1)**2 + 1.\nAnswer: 55*sqrt(11) + 1342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 110162\/6 + (-18 + 34)\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3)*4\/((-192)\/(-36)). Sort 5, k, 4, 0.2 in ascending order.\nAnswer: 0.2, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-530)\/(-170) - 64\/34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2*1\/4. Let c(q) = 3*q**2 - 6 - 2*q**2 - 8*q - 5. Let s be c(9). Put -5, x, s in descending order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 + -11 + 11 + 1 + 4475 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1270176 = -11*d. Is 4 + d\/10 - 10\/(-50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.651968551 rounded to five dps?\nAnswer: 0.65197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1\/117, -2\/7, 3\/4, 0.4, -0.5, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -m - 24. Suppose 5*t = 3*v + 297 + 18, -4*v + m = t. Calculate the remainder when t is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -523, 3, -0.5, 0.1, 2\/9 in decreasing order.\nAnswer: 3, 2\/9, 0.1, -0.5, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 119*t - 1507 = -232 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 134, -8, 12, -4, -26 in decreasing order.\nAnswer: 134, 12, -3, -4, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128*f**2*n**2 - 38266*f**2 + 9*f*n**2 + 4*f + 381*n - 3 wrt n?\nAnswer: 256*f**2*n + 18*f*n + 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 2. Let q be j(-2). Let m(z) = -2*z - 2. Let w(u) = 0 - 2*u - 6 - 3*u. Let c(x) = 11*m(x) - 4*w(x). Give c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665809, 665783, 665757?\nAnswer: 665731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*a + 64*a + 6. Solve -a*l + 3*l = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d**3*i**2 - 5617*d**3*i - 75318*d**2*i**2 + 4*i wrt i?\nAnswer: 36*d**3 - 150636*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 82.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x - 5*d + 19, 0 = -4*x - 3*d + 42. Let y(u) = -76559*u + 31. Let n be y(x). What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.91218.\nAnswer: 0.71218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 1504398.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:05 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -7.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**3 + 33*l**2 + 30*l + 6. Let q(z) = -53*z**3 - 100*z**2 - 89*z - 18. Let p(t) = 3*q(t) + 8*s(t). Factor p(y).\nAnswer: -3*(y + 1)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1309984 by -3149.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 3*b + 2. Let g(j) = j**2 - 76*j + 1410. Let n be g(44). What is s(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10102873 to the nearest integer?\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, b: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 15*j**2 - 13*j - 7. Suppose -7*f + 10*f - 42 = 0. Let g be n(f). Solve -3*s + 3 = 0, 5*s - 2 = 4*r + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcv when four letters picked without replacement from {v: 1, c: 2, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7*s**5\/3 - s**4\/24 - 7*s**3\/6 + 104*s**2. Find the second derivative of h(o) wrt o.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 4*f**2 + 9 - 2*f as t + u*f**2 + h*f and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 12. Let d be r(0). Solve 0 = -6*z + 12*z + d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(1700) + -5) + 0)**2 - ((3 + (2*(-1 + sqrt(1700) + sqrt(1700)) - sqrt(1700)))*1)**2.\nAnswer: -960*sqrt(17) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 8. Let q(n) = -2*n**2 - 77*n - 41. Let z be q(-38). Determine g(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 43\/5 (c) 2\/15 (d) 5 (e) 4 (f) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543807 is divided by 586?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 414 and 704103.\nAnswer: 704517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 5*r - 17, 4*a = -3*r - 4 - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/99 - (-436380)\/3465. Solve 0 = 5*a - 3*t + 12, -20 = -g*a + 131*a + 5*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Suppose 7 = 4*h - 1. Let u(q) = -h*q + 2*q + 2*q. Give o(u(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = 3*l - z, -l = -3*z + 7. Suppose -2*u + 9 = -l. What are the prime factors of (6 - u)*(-11 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3420 by 3.\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 - 7*p + 2. Let g be w(7). Let v be 6 + -1 - (3 + -2). Solve v*t = 0, 2*q = -g*q - 4*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179500729*k**2*n + 841780465*k**2 wrt n.\nAnswer: -179500729*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - 59*m + 71. Let o be x(10). Solve 0 = -o*n + 83*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6196146*s**2 - 4915207 wrt s.\nAnswer: 12392292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -374*y**4 - 11*y**3 - y**2 - y + 922 wrt y.\nAnswer: -8976*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 3*d + 7. What is the least common multiple of 48 and v(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {s: 1, f: 2, w: 1, k: 1, l: 1, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4995.94 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 17*z**2 + z + 10. What is g(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8528, -8511, -8484, -8447, -8400?\n\"Answer: 5*h**2 + 2*h - 8535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153090 divided by -2430?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 10, 1\/79, -5?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9494207593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, 3, 2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -74. Solve -j*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139\/4 + -359\/4. Let o = 125 + a. Let -1\/4*k**2 + o*k - 1\/4 = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 + 0*q**2 + 23*q**3 + 0*q**2 - 9*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12200, 1, 4, 168 in decreasing order.\nAnswer: 12200, 168, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 335 times 18798\nAnswer: 6297330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599385441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.096 - 0.096. Let s = 11.51 + 32.89. Let y = o - s. What is the second biggest value in 4, -2\/67, y?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*c**3 - 154052*c**2\/3 + 14672*c\/3 = 0. What is c?\nAnswer: -3668, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*s**2 - 17\/7*s - 10\/7.\nAnswer: -(s + 5)*(3*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 144. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -4 - (-11)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(3\/4))\/k)\/k**(-2\/3))**(3\/17))**(4\/15) assuming k is positive.\nAnswer: k**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(468\/(-702)). Let i(s) be the second derivative of -1\/6*s**3 + 0 - s - d*s**2. Determine i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - -38.27. Let d = 37.9 - p. Let b = -2.02 - -1.52. What is the closest to -1 in d, 2\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -159430\nAnswer: -1\/31886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 1. Let c(l) = -1173 + 54*l**2 - 1141 + 2306. Calculate c(t) + 8*u(t).\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -111?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 12*l - 4. Let p be z(12). Let s(g) be the second derivative of -g**5\/20 + g**3 + 5*g**2\/2 - 6*g. What are the prime factors of s(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 46*r + 540. Let z be g(-25). Put -4, 1, z in decreasing order.\nAnswer: z, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, -4299, 675?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -4*v. Let i(x) = 6*x. Let g(n) = -n. Let c(l) = -3*g(l) - i(l). Let q be c(v). Solve 4 = 2*m + q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**3 + 2*t**2 - 32*t - 2. Let f(g) = 2*g**3 + g**2 + g - 1. Calculate -2*f(c) + u(c).\nAnswer: -10*c**3 - 34*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 13. Let t = z + 6. Suppose -4*a + 222016 = 3*h - 0*a, h - t*a = 73988. Round h to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3705 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/5 or -32472?\nAnswer: -32472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 875.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) -310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 40. Let h be ((-18)\/((-2)\/k))\/(3\/18). Let o = h - -62. Calculate the highest common factor of o and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4952*q - 2017*q - 44 + 10991*q + 44.\nAnswer: 13926*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*u = 57 - 1427 - 1490 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 + 2272*x - 2*x**2 - 2288*x)*(-5*x + 0*x + 3*x) to the form l*x**2 + h + r*x**3 + q*x and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e4 (base 15) to base 12.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + -3 + 0 + sqrt(833))**2 - (sqrt(833) + ((2*sqrt(833)*2)**2 - sqrt(833)) - (((sqrt(833) + -1 + 2)**2 - sqrt(833)) + sqrt(833) - sqrt(833)))).\nAnswer: -11640 - 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9587.6 times -85?\nAnswer: 814946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 665089 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 1144*l\/5 + 228.\nAnswer: 4*(l + 1)*(l + 285)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76352339311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 799, 803, 823, 865, 935, 1039, 1183?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.2212nm to centimeters.\nAnswer: 0.00003342212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1286 divide 26712865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/25)*p)\/p**(-12\/7)*((p**(-9\/4)\/p)\/p*p)**(-23) assuming p is positive.\nAnswer: p**(55681\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -4, 2 in decreasing order.\nAnswer: 158, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.02, 0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l**2 - 48*l**2 + 2*l - 34*l**2 + 14.\nAnswer: -124*l**2 + 2*l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5))**(-20) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24813554, 24813555, 24813556, 24813557, 24813558, 24813559?\n\"Answer: o + 24813553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92846 is divided by 55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -333116102702 + 0.055?\nAnswer: -333116102701.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34165 - i**3 + 1045*i + 130*i**2 + 36585 + 6*i**3.\nAnswer: 5*(i + 4)*(i + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 301598.63 to the nearest one thousand.\nAnswer: 302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a + 14. Let v(k) = 6*k + 5. Let h be 3 + ((-14)\/(-6))\/((-13)\/39). Give h*w(g) + 11*v(g).\nAnswer: -6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*k**2 + 146*k**2 + 129*k**2 + 3*k**3 + 146*k**2 + 111.\nAnswer: 3*k**3 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, 0, -0.8, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 1 - sqrt(48)*5)*6 + (sqrt(108) + 2*sqrt(108)*-3 + sqrt(108) + sqrt(108) + 0)**2.\nAnswer: 12*sqrt(3) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -865047137*l*w + 416348099*w with respect to l.\nAnswer: -865047137*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4190614 by 47.\nAnswer: 89162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5171 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718664 divided by -1?\nAnswer: -2718664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose -3*u + 2*l + 92 = 0, 0 = u - 0*l + d*l - 20. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-741 - 1046 - 619 - 201 + 16)*(0*c**2 - c**2 + 3*c**2) to the form r*c + z + l*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 23886*f**2 - 73 + 21 + 22 in the form y*f**2 + k*f + s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/24 - 3*z**2\/2 + 11*z\/2 + 936. Factor g(b).\nAnswer: (b - 22)*(b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 16*z + 11. Determine r(-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 28*y - 6. Let d(a) = 29*a - 9. Calculate -7*d(z) + 10*j(z).\nAnswer: 77*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 17. Let f = -5 - g. Let j = 0.11 + -0.11. Is j > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 32*n**2 + 114*n - 21. Give i(-7).\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16463745 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-28 - -3)\/5) + (1 - 20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2. Let n(m) = -m + 19. Let z(v) = -3*l(v) + n(v). Determine z(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 13*t + 20. Let k be i(-9). Let g = -169 - k. Calculate the highest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 338?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 8*i**2 - 2*i + 7. Let w be r(4). Put w, 3, -6, -3 in descending order.\nAnswer: 3, w, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*r**5 + 5 + (2 + 1 + 5)*(0*r**2 + 0*r**2 + 2*r**5).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-860)*-260*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*(1770\/765 - 2) - (-6)\/(103 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.87 - 19.27. Let c(o) = -o**3 - 3*o**2 + 2*o + 4. Let s be c(-3). Let u = s + 3. Put u, -0.2, z in ascending order.\nAnswer: z, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*p + s + 7, 16 = -5*p + s. Let j(u) = -57*u - 27. Let m be j(p). What is w in -m*w**3 - 468\/5*w**2 - 192\/5*w**4 - 111\/5*w - 9\/5 = 0?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2\/21*w**3 + 8\/7*w + 4 - 4\/7*w**2. Factor z(i).\nAnswer: 2*(i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**27*(f**(-1\/2))**0 assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 7:09 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**3 + 7*r**2 + 4*r - 4. Let n(f) = -6*f**3 - 8*f**2 - 5*f + 5. Suppose -6*w + 193 - 223 = 0. Determine w*h(l) - 4*n(l).\nAnswer: -l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 131*y**2 + y + 1. Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 3*l + 7. What is d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166, 150, 120, 70, -6, -114, -260?\n\"Answer: -d**3 - d**2 - 6*d + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 10*x + 4. Let j(u) = -9*u**2 - 19*u - 8. Let r(w) = 4*j(w) + 7*m(w). List the prime factors of r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -52*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*1\/(2\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -201.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, -94, -2, -69, -4.\nAnswer: -94, -69, -4, -2, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039820404 to 4 decimal places.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5699929472 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0*p + 0*p - 2*p - 8*p - 27*p + (3 - 7 + 3)*(-5 - p + 5) to the form i*p + z and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10. Let a be h\/9*3\/5. What is the second biggest value in -2, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 17}. Give prob of picking 1 v and 1 o.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/255)\/(6\/120)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45702897683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + 121. Suppose -y + 93 = 4*p - s, -3*p + 286 = -2*y. Let a = 16 + p. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 + t + 2. Let n be q(-1). Let m = n - 9. Is m at least -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-2) + 11\/22. What is the greatest common divisor of 161 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 10. What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 647.8 * -0.5\nAnswer: -323.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + (-2329)\/(-51). Find the second derivative of -9*o**5 - 8*o - r*o**3 + 3*o + 46*o**3 wrt o.\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (0 - 1) - 0. Suppose 0 = n - 3*f - 8 - c, -2*n = -f - 8. Suppose 3*i + n = -0*i. Round i to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-3))\/4*0. Let q = f - -11. Calculate the highest common factor of q and 484.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 849 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 84, 109, 116, 99?\n\"Answer: -d**3 + 44*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 2*v + 2. Let p(l) = 30*l**2 + 21*l + 21. Suppose -80 = -45*x + 43*x. Suppose x*w + 84 = 36*w. Suppose 3*f - 1 = 5. Give f*p(z) + w*a(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220260?\nAnswer: 2, 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 19 = -5*i + 22*j, -2*j - 17 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 15\/146, -8, 3?\nAnswer: 15\/146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 + 17*m**2 + 77*m. Let s(i) be the first derivative of f(i). Let l(t) = 2*t**2 - 7*t**2 - 10*t**2. What is s(l(a))?\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405653?\nAnswer: 3, 468551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-38))\/((-692)\/407588).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17300529 divided by 1611.\nAnswer: 10739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4339, -4284, -4229, -4174?\n\"Answer: 55*r - 4394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7 - 1. Suppose 0 = -5*m + 5, u - 2 = -n*m - 3. Let s(b) = -b - 2. Determine s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.038 < 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0470625 - -0.09?\nAnswer: 0.0429375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 6*x + 4. Let u be d(5). Let v = -6 - u. Which is the second smallest value? (a) -1\/2 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 2*f, 6*f - 8 = 2*f - 4*b. Let p be -3 + (f\/6 - -2). Let v = 21 + -22. What is the nearest to p in -1\/4, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3300, 3, -441?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:11 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 8630*f**3 - 34499*f**2 - 43130*f = 0. What is f?\nAnswer: -1, 0, 5, 8626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 3*b**2 - 3*b + 2. Let t(a) = -17*a**2 - a + 1. Let x be t(1). Suppose 4*s = 3*l - 48, -3*l - 83 = 5*s - l. Let y = s - x. What is m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:17 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-210)*2814\/(-3819)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22136.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82685051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 164*z + 519*z + 7*z)*(-2*z + 3 - 3) to the form o*z**2 + s + m*z and give o.\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t + 6. Let i(p) = -6*p - 7. Suppose 5*x - 11 = 2*o, 3 = -2*o - 2*x + 13. Let b(r) = o*f(r) + 3*i(r). Differentiate b(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4*n**2 - 8*n - 1. Determine i(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 34 = -19*q + j, 5*j = -25 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 72. Let y be s(4). What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249072846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -56. Suppose -z = 2*j - 16. Let r(l) = l**j - 13 + 0*l**3 + 12. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 803\/24, 3\/2 in descending order.\nAnswer: 803\/24, 3\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (((sqrt(84) + -3*sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84))*-6 - sqrt(84)))\/(5*-4*sqrt(12)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -60. Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6689*x - 902*x**4 - 805*x**4 + 11947*x**4 wrt x?\nAnswer: 122880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11038037 is divided by 480?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -290, -295, -302, -311?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigsw. What is prob of sequence gg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 4*y**2 + 3*y - 6. Give t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 31. Let s(f) = 6*f + 31. Let c(i) = 3*r(i) + 4*s(i). Determine c(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 37 = 4*v, 0 = -182*a + 179*a - v + 18. Solve -2*u + 4*g - 7*g + 21 = 0, -10 = 5*u - a*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2785400, -2785396, -2785392?\nAnswer: -2785388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*x + 11609 = -15384 + 6109 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7795656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2543*j - 661211. Determine n(-260).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 - 309 - 12*a**2 + 32*a + 162 as i*a + c + m*a**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)\/(4\/(-4)). Let c be (0 - -1) + -4 + 1. Calculate the remainder when 86*(g - (-3)\/c) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i - 48. Let m be a(-16). Let k be 1 + 73*2 - (-14 + m). Let f = 245 - k. What is the remainder when f is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -213*l**3 - l**2 - l. Suppose -5*f - 2 = 3. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - z = 0, 5*t = -z - 4*z. What is the smallest value in -2, t, 36, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1610 = -6*l + 16*l. What is the greatest common factor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*q - 1)*(q - 3*q - 10*q) - 3*q**2 + 4*q**2 + 0*q**2 in the form x*q + b*q**2 + k and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 + -145.02. Let j = -2.86 + l. Let b = 0.12 - j. What is the biggest value in -1, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45*10\/100)\/(21*1)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-19 + 11 + 38 - 17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 6}. Give prob of sequence mmjm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 11 = 429*c - 433*c, 3*c - 2 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 3*t + 8*m - 24, 0 = 5*t - 2*m - 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -2 + 11 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*f - 2, -d + 2*d - f = 2. Let i be 5 + (-3 - d - -4). Let g = 5 + i. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 13*u + 67. Give f(12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(153) + 0)*4)**2.\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 - 6. Let u = -27 - -10. Let k(d) = 20*d**2 - 17. Let o(t) = u*z(t) + 6*k(t). Let y(f) = 6*f. Calculate o(y(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/17 < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 105?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13120016.\nAnswer: 2, 7, 13, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -18040 at most 2338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * -6515.\nAnswer: -18893.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibksbbsiiss. Give prob of sequence siib.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/239 + -20369\/1434. Let i = -746 + 731. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -107*x + 49. What are the prime factors of t(-4)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/5 (b) -80 (c) -5 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 4*p + 6*p. Calculate the remainder when p is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/249631333 and -107\/6.\nAnswer: 1497787998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089149360.\nAnswer: 2, 3, 5, 2671, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**5 + 2*z**5 + 2*z**5 + 2*z**5 + 3*z**5 - 4*z**5 + (-3*z**4 - 2*z**4 + 3*z**4)*(0 + 0 - 2*z) - 3*z**5 - z**5 + 5*z**5)*(-3 + 0 + 6)*(5 + 0 - 3).\nAnswer: 48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 395374 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 8*b - 2*b + 11*b - b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let i(w) = x - 10 + 0*w**2 + w**2 + 4*w. List the prime factors of i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 479 = 241. Let c = a + 457. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*z - 4, -l - 5*z - 5 = 3. Let x be 14\/(-49) - l\/(-7). Solve -o + 4*o = -s + 16, x = -4*s + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 + 4 + (-1086)\/270. Suppose 4*x - 3 = -4*f - 7, 5*x - 1 = f. What is the nearest to z in -2, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-80) - 2\/20. Which is smaller: 7\/10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1730 - 2.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 + 232. Calculate the smallest common multiple of 55 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 17. What is the least common multiple of i and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 7)*(3 + 3 - 1) - 1 + 0 - 1)*(0*f**5 - 2*f**5 + 3*f**5).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/48 - 285\/16. Let i = 719\/42 + o. Put 2.8, i, 2\/11, 5 in descending order.\nAnswer: 5, 2.8, i, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (-3 + 2 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*-2*4*sqrt(363)*1*1 + -4)**2.\nAnswer: 5632*sqrt(3) + 371776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from deqhq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, n: 1, x: 1, y: 2, q: 1}. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -330\/29, -20, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008727 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334996200 by -1650.\nAnswer: 203028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = -5905 + 5443 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9431728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 5\/2, -26, -2\/13, 0.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28252339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 1 + 1 + (0*n + 4*n - 3*n)*(0 + 3 - 6))*(2 + 1 - 5).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5793 and 7\/11313.\nAnswer: 21845403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3619 smaller than -3619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2166411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofof when four letters picked without replacement from {d: 3, q: 3, f: 2, o: 2, a: 5}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012248 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 80 - 26 - 18 - 9*a**2 + 124 + 2*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 145.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. List the prime factors of (b*-23 - -4)*-1.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Suppose -4*k = -4*u + 204, 0*u = -u - 4*k + 56. Suppose s - 43 = 5*d, -4*s + 0*d = 4*d - u. Calculate the remainder when s is divided by x(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7010 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11 - 2*j - 6 - 6. Determine z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -38. Let f = -4.1 + s. Let j = f - -0.3. What is j rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 139*z - 81096 + 59360 - 172725. List the prime factors of z.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -81*g. Let k(t) = 1254*t - 4. Determine k(y(f)).\nAnswer: -101574*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 98. Is ((-239)\/q)\/((6\/126)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0328563 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -63.2. Which is the nearest to -0.2? (a) 1 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4846209.46 to the nearest 10000.\nAnswer: -4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 8. Let k be (n\/(-2) - -3)*-3. Suppose u = -k, 0 = -10*j + 5*j + 3*u + 214. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**8\/3360 - k**7\/80 - 49*k**6\/240 - 343*k**5\/240 - k**3 + 28*k**2. Let c(j) be the first derivative of g(j). Factor c(w).\nAnswer: -w*(w + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2213 + -2168. Calculate the least common multiple of k and 444.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3 - 1214*y + 1213*y + 6. Determine o(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 341, 469, 395, 119, -359?\n\"Answer: -101*r**2 + 431*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**31\/x)\/x**(-4\/15) assuming x is positive.\nAnswer: x**(454\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 306698899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11021112001 (base 3) to base 10\nAnswer: 84214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80, -458, -922, -1340, -1580, -1510, -998, 88?\n\"Answer: 22*x**3 - 175*x**2 - 7*x + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(700) + -2))**2 - (2 + sqrt(112)*1 - -4*(sqrt(112) + -2)).\nAnswer: -100*sqrt(7) + 2810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(11) + ((sqrt(105)\/sqrt(3))\/sqrt(5))**2.\nAnswer: -sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 n, and 1 j when four letters picked without replacement from njjinnnj.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*r + 32*r + 11560 = -294*r - 575*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 37 - 65. Let a(l) = -98*l + 45. Calculate the remainder when a(v) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 393*o. Let s(k) = 8*k**2. Determine m(s(d)).\nAnswer: 3144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2. Let k be 15\/(-6)*(-3 + x). Suppose 0 = b - 0 - k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b9 - -2?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120120210 (base 3) in base 7?\nAnswer: 300615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 310154965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-1)*w*w))**24)**(2\/19) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -20313000?\nAnswer: -20312331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2242*p**3*q**3 - 7*p**3*q + 75*p**2*q**2 + 2*p*q**5 - 9*p*q**2 + q**4 - 4*q**2 + 2 wrt q.\nAnswer: 13452*p**3 + 120*p*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1066, -165, 2.\nAnswer: -165, -0.1066, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 2077*v + 14544. What is j(-7)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 450668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**(-1\/11)\/(d*d**(1\/7)*d**(2\/23)) assuming d is positive.\nAnswer: d**(-3144\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522099?\nAnswer: 3, 61, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/14 + 1\/7. Let v = 82362 - 82359. What is the closest to i in -0.5, v, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914133 is divided by 24229?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -528143, -528142, -528141, -528140, -528139?\n\"Answer: v - 528144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2 - 4. Suppose 22 = w - x*w. What is the tens digit of 2\/((4\/w)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -188. Which is the closest to 2\/3? (a) k (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5 + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -5. Let y be 10\/(1*i\/3). Let c = -6 - y. Solve -c*s + 1 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(252) + 0))**2*-1 - ((sqrt(224)\/sqrt(4))\/sqrt(2))\/(2*sqrt(4)*-2).\nAnswer: -4032 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/8 (c) 0.1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/72 + i**5\/45 - i**4\/72 - 33*i**2\/2 - 55*i. Let j(h) be the first derivative of y(h). Solve j(q) = 0 for q.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 66640731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 8*t + 9 = -7*t, 0 = -r + t + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*n - 33490*q + 33485*q, -5*q = n - 10 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70.97*-1.2\nAnswer: -85.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00980488 to four dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -4.02. Let o = 4.09919 - p. Round o to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by 46129?\nAnswer: 340\/46129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1479\/85)\/29)\/(7\/5). Let 0*n + 12\/7*n**2 + 15\/7*n**4 + s*n**5 + 24\/7*n**3 + 0 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779989 to the power of 1\/2, to the nearest integer?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1342, -1286, -1188, -1042, -842?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.48 + 0.491. Let x = -0.011 + i. Let w = -101.6 + 102. Which is the closest to 1\/4? (a) 4 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -14 + -1 + 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155273 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9\/o**(-2)*o**(-13)*o*o**(2\/15)\/o assuming o is positive.\nAnswer: o**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 6*y**2 + 18*y + 0 + 7\/6*y**3. Let x be k(6). Calculate the greatest common divisor of x and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-684)\/(-162)*9\/2. Sort -2, 0.03, y in descending order.\nAnswer: y, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*q**2 - 4\/3 + 8\/3*q.\nAnswer: -4*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.1, 34, 3.96, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 67*k**2 + 89*k - 85. List the prime factors of b(11).\nAnswer: 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -6.962917626263?\nAnswer: 6.862917626263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxu when four letters picked without replacement from {i: 5, u: 1, o: 3, x: 8, q: 1, z: 2}.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 34. Suppose y*t = -0*t - 3*q + 116, 2*t - 42 = q. What is the remainder when 87 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 6, -8, -15 in decreasing order.\nAnswer: 6, 2\/7, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {a: 3, k: 1, j: 1, t: 1, x: 12, l: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -1, 1673.\nAnswer: -1, 5, 6, 1673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 5)*(2 - 2*f - 2) - 2*f - 1 + 1 - 151 + 123*f + 151 to the form s + m*f and give m.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 161\/49 - (-4)\/(-14). Suppose 0 = s + 2*q - 19, -4*s - y*q = -0*q - 96. Let t be (-9)\/(s\/11994) + -2. What is t rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9a (base 11) to base 15.\nAnswer: -5ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -65818 (c) 4 (d) -1\/4 (e) 0.3 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2857002 plus 0.1?\nAnswer: -2857001.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.692755 nanograms in milligrams?\nAnswer: 0.000003692755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 + -175071010650.\nAnswer: -175071010486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 10*l**2 + 34*l - 5. Let m = 131 + -86. Calculate the least common multiple of w(6) and m.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14698137.3 hours?\nAnswer: 87488.9125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 46, -2, -1, -4\/7, -8, -3 in descending order.\nAnswer: 46, 4, -4\/7, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 697, 1303, 1911, 2521, 3133?\n\"Answer: d**2 + 603*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64587.347 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/10 + 377*s**3\/3 + 4493*s**2\/2 - 3*s + 198. Differentiate d(b) with respect to b.\nAnswer: -6*b**2 + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*3\/(27\/(-30)). Suppose v*m = 14*m - 112. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {n: 1, r: 1, x: 1, j: 1, s: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, b: 2, y: 1, n: 2}. What is prob of sequence bg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 35 - 3 = -2*h, q - 2*q = -5*q + 3*h - 6*h - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 14. Let j(v) = -13*v + 43. Let r(y) = -2*j(y) + 7*n(y). Let m be r(-11). Suppose 0 = 3*p - 5*c - 101, 2*p + 2*c = -3*c + m. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/7 - 3026*z**3\/7 + 39451*z**2\/7 - 170104*z\/7 + 243120\/7 = 0. Calculate z.\nAnswer: -3039, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.02775122531 - -0.4.\nAnswer: -5.62775122531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24318755 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236 divided by -5.\nAnswer: -1236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*m = 39, 38*m - 105 = -15*y + 41*m for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-40)*8\/30*3\/13. Let i = -2.9 - -7.2. Let p = i + -4. What is the second smallest value in 4, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g**(2\/17))\/(g**(-2\/31)\/(g*g**(-5\/3))) assuming g is positive.\nAnswer: g**(-2719\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 18*f**2 - 3*f + 29101. Is d(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373008240.29999756 - -373008212. Let g = q + 28.3. What is g rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(-2)*q))\/q)*q*q**(-2\/11))\/((q**0\/q)\/q)**38*(q\/q**(-5)*(q\/((q*q**7*q)\/q))\/q)\/(((q\/q**(-1\/2))\/q)\/q)**(2\/3) assuming q is positive.\nAnswer: q**(2480\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 10. Let h be m(16). Let d be 4\/(-18) + 231\/h. What is the biggest value in 1, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83832, 2, 0.5 in descending order.\nAnswer: 83832, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3268, 2941, 2614, 2287, 1960?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 1. What is q(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Suppose 9 = 5*r - 41. Suppose 0 = 8*b - 3*b + r. Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 2*v. What is the remainder when v + 7 + -6 + 13 is divided by (2\/(-4))\/(1\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-200)*4)\/((-1)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 700 divide 2287006400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let s(l) = -26*l - 2. Let x(c) = 259*c + 21. Let v(n) = -21*s(n) - 2*x(n). Calculate y(v(k)).\nAnswer: -1568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1509\/18715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + 390\/42. Let j be (-14)\/(-3) - 6\/y. Suppose -5*r - j*a + 1487 = -0*r, a = 4*r - 1198. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:18 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose 2*x = -5*w - 0*w - 7, -3*w - h*x = -7. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - c**2 + 2*c**2)*(-7 + 3 - 1).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4 + 0)*(-13*d + 10*d**2 + 13*d) + 4*d**2 - 4 + 4 as h*d**2 + s + i*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 130, 0.7, -0.1.\nAnswer: -0.1, 0, 0.7, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k**2 + 340*k - 89. What is r(-23)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 11*y + 3. Let p(u) = -4*u**2 - 45*u + 13. Calculate 9*a(l) - 2*p(l).\nAnswer: -l**2 - 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 169*h + 386. Give n(-82).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - 1) + 24 + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + 16.1. Let g = -14 + q. Let w(j) = -j**2 + 4*j + 1. Let l be w(4). Which is the closest to -0.2? (a) l (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/16, 0, -0.08?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45.025 - 0.025. Let j = 48 - b. Let r = -0.42 + 0.22. What is the second biggest value in r, -7\/6, j, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252*u - 231363 = -4759*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 30955?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 6)*(-7*r**2 + r**2 + r**2).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 + (-1 - -1) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6423 is divided by 4414?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let p = -17597 + 17569. Sort r, 3, p in decreasing order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -24*f**3 - 2*f**2 + 2*f - 1. Determine r(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 2*w + 4*w**3 + 2*w.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 195\/30*2\/1. Let z = c - -50. What is the tens digit of z\/(-6)*4*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 4, -11, -32, -59, -92, -131?\n\"Answer: -3*i**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-1 + -1 - -10). Let u be o\/(-12) + 7\/(-2). Let x be 889999 - 1*3\/u. Round x to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:22 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:14 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.96. Let y = i - 0.44. What is the second smallest value in -3\/7, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9330 * 5.\nAnswer: -46650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8811.358 millilitres to litres.\nAnswer: 8.811358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 274\/384 - (-4)\/(-6). Let l = -42.6557 - -40.6557. Is l greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -18. Let m = g - 5. Let l = -51 - m. Which is the second smallest value? (a) -3 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*u - 309 + 294, 0 = -4*l - u - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -d + 16, 0 = 2*z - 5*d + 3040 - 3070 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-4*(-2 - -3). Let a be y\/(-14) + 110\/7. Suppose -3*b = -a - 14. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 629 (b) -34 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4381, -8746, -13085, -17386, -21637, -25826?\n\"Answer: 2*l**3 + l**2 - 4382*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 5 + 6)*(459*h + 8 - 3 - 3) as i*h + t and give i.\nAnswer: -5508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2281 + 4327. Let a = 3197 - b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 20 = -5*k. Suppose s + k*n + 7 = -5, 3*s = 5*n - 19. What is the units digit of (4\/(-6))\/(s\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/20 - 3*k**3\/2 - 4*k**2. Find the first derivative of p(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 52\/3*k**3 + 2*k - 55*k**2 - 17. Differentiate w(z) with respect to z.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5767436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33875059 + -12534.59\nAnswer: -33887593.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1486 = q - 380. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4)**(8\/7)*(s*s\/(((s*s*(s\/s**(-2))\/s)\/s)\/s))**21 assuming s is positive.\nAnswer: s**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7664005270 to the power of 1\/5, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22.841 in -4, 1\/3, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 27 - 9 = 4*i, i - 13 = 5*n. Suppose 56 + 181 = i*s. What is the remainder when 310 is divided by s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1535?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/9658 + -24133\/38632. What is the closest to -1 in -0.3, -26.1, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124, -80, -34, 14, 64?\n\"Answer: f**2 + 41*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4791*g + 336112 = 1211*g for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16*5*(-5)\/350*-28?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 12*y - 609. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 220446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 24520 = -24515. Sort 187, x, 1, -3 in ascending order.\nAnswer: x, -3, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523058569 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123151 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-133*v + 59*v - 63*v).\nAnswer: 274*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 2, l: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8515459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5\/7 + 760*z**4\/7 + 31616*z**3\/7 - 294472*z**2\/7 + 432828*z\/7 + 758160\/7 = 0.\nAnswer: -117, -81, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9569113?\nAnswer: 17, 41, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1. Let y(m) = 15*m + 5. Let h(k) = -6*u(k) - y(k). List the prime factors of h(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42950.5 and 0.0485.\nAnswer: 2083.09925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 11*j**2 + 12*j + 17. Let z(k) = k - 1. Let o be z(13). Let p be a(o). Let l = p + 5. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011000110 (base 2) to base 3.\nAnswer: 111121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-37)\/((-2220)\/(-8)))\/((-1)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25847 + 41265. What are the prime factors of s?\nAnswer: 2, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777.675 milligrams to micrograms.\nAnswer: 777675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 377?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 51. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(2\/14)*(-23418)\/45535?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3133 (base 5) to base 7.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1033, -4, 1, 2 in increasing order.\nAnswer: -4, 1, 2, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 1. Let d be q(1). Let x = -8421 + 8456. Which is the closest to 1? (a) x (b) d (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 4*d**4 + d**2 + 0*d**4 + (0*d**3 + d**3 + 4*d**3)*(-36*d + 18*d + d) as j*d**3 + u*d**4 + c + s*d + v*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -114, -352, -704, -1170, -1750?\nAnswer: -2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -67887\/5 greater than or equal to -13576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + 6*o**2. Let x be g(-1). Let j = -370 - -369.6. Which is the closest to x? (a) j (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 24, -5, -1\/566, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 242, 461, 774, 1181, 1682?\nAnswer: 2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 2. Let l(k) = 3*k - 1. Give 5*l(f) + 2*q(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 64*d**2 + 3*d. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -140*b + 5524. Determine u(39).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -34. Suppose 0 = 4*a + 4, -2*i + 3*a + 1 = -y. What is the least common multiple of 6 + -1*(-2 - -1) and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.7 * 0.5533\nAnswer: -5.92031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6697393 or -6697360?\nAnswer: -6697393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-20))\/((-2)\/(-5)). Find the third derivative of -2*a**2 + 3*a**c - 18*a**3 + 0*a**2 + 12*a**3 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**3 - 308622*o**2 + 4318352*o?\nAnswer: 30*o - 617244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 761*o**3 + 187*o**3 - 1074*o - 155*o**3 + 15*o**3 - 217*o**3 wrt o?\nAnswer: 3546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50223612 + 5?\nAnswer: -50223604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31484 divided by 1852\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 + c + 1. Let v(f) = 16*f**3 - 6*f**2 - 4*f - 4. Suppose -4*s - 12 = -3*k - s, 5*k + 1 = -2*s. Give k*v(j) + 4*n(j).\nAnswer: 12*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371093933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24694269?\nAnswer: 3, 8231423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 6) in base 12?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27456 = -2*x, h - 4 = -7. Is x a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -481?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104 + 49 + 58)*((-3 + 2*b + 3)*(-7*b + 3*b + 2*b) + 0*b**2 - 3*b**2 + 2*b**2 - 2*b**2 - 4 + 4) in the form v*b + k*b**2 + o and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 8) in base 11?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 5 - 18\/2) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 29*y - 1. Let k = 245 + -252. Is f(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1414582 divided by -17251\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 3*u + 10 = 18*d, 5*u = -4*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -109002, -10, 5, -5 in decreasing order.\nAnswer: 5, -4, -5, -10, -109002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 1040*k + 2 + 1361*k - 1061*k to the form t*k + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:10 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, -4, 4, 65 in decreasing order.\nAnswer: 65, 4, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 82218.9ns?\nAnswer: 0.0822189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*q + z, -q = -2*q - 3*z + 12. Suppose -3*k - 4 = -19. Suppose q = -k*p + 15 + 5, -2*x - 3*p = -32. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7996983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/8 + 151941*y\/8 + 18993 = 0.\nAnswer: -1, 50648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 5. Let z(x) = -x + 2. Let i(j) = -4*w(j) + 9*z(j). Determine i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + (-316)\/(-12). Suppose y = -0*s - s - t, 0 = 5*s - 2*t + 100. Let d = 15 - s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.2. Let t = 0.1 - a. Let w be (-85)\/(-140) - -8*(-3)\/28. What is the nearest to t in w, -3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.6 + -0.9. Let b = 6.07 - 0.07. Let j = n - b. What is the third smallest value in j, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - (-91 + 171) - (1 + -10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 12*w**2 + 15*w - 4. Calculate the smallest common multiple of 1 - (2 + -3) - -14 and n(13).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 374 - 389. Which is smaller: f or -97\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 4 = 32. Suppose -5*y = v*l - 594, -y - l + 2*l = -117. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -599935 divided by -305\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at most as big as 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2. Let h(b) = -8*b**2. Suppose -2*d - 10 = -2*r, d + 11 = -2*d + r. Determine d*h(q) - 4*c(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/527 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 531, 533, 535, 537, 539?\n\"Answer: 2*x + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3653375, 3653361, 3653333, 3653285, 3653211, 3653105?\nAnswer: 3652961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 14*c + 740408. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/27 - 14*o**5\/45 - 8*o**4\/9 - 8*o**3\/9 + 373. Suppose t(k) = 0. What is k?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 3, k: 1}. Give prob of picking 1 k and 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -5. Let n(k) = 10 + k - 10 - 4*k. What is the least common multiple of n(w) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 16*q**2 - q - 5. Is x(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.207 + -0.707. Let r = 103 + -106. What is the fourth smallest value in -2\/15, r, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2\/9, 0.71, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (19 - (12 - 14)) + -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:45 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*b + 139*b + 485*b)*(3 - 3 - b)*(-b + 0*b - b) in the form h*b + o*b**2 + r*b**3 + p and give r.\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 169*c**2 - 40*c + 122. Is o(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -822.00000341 - -822. What is s rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 - 10746 = -16*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -1.006.\nAnswer: 0.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -3678?\nAnswer: -3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365 (base 13) to base 12.\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228803?\nAnswer: 17, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42850.00000023129 + -42850. What is t rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -297*q - 2374. Let x be j(-8). Let a(p) be the second derivative of -4*p**5 + p**x + 0 + 8\/3*p**3 + 5\/3*p**6 - 8*p + p**4. Find i such that a(i) = 0.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -59\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14313*a**2 - 2261*a - 6 wrt a?\nAnswer: -28626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 12 + 33)*(3*x - 5*x + 8*x) + 2 - 2 - x + (-x + 4 - 4)*(0 + 1 - 3) - 4*x + 0*x + 3*x in the form b + i*x and give i.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/333 + 2\/37. Let m = -3 - -3.1. Let t = -278 + 275. What is the third biggest value in m, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 477, 482, 489, 498, 509, 522?\n\"Answer: c**2 + 2*c + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -7*y**4\/12 + y. Suppose -4 = -5*k + 6. Let u be 2*1\/k - 2. What is d(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.175 and 3.527?\nAnswer: 0.617225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -24*k. Let n(l) = 4*l**2 - 3*l + 1001. Give n(f(t)).\nAnswer: 2304*t**2 + 72*t + 1001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = 4*h, 2*h = -c - 0 - 4. Let b be (-12)\/24 - (-56002)\/c. Suppose 14*i = 7*i - b. Round i to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -382 + 547. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*j - 1434*j - 4 + 306*j + 4 as i*j + m and give i.\nAnswer: -1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a - 268. Let r be p(14). Solve -2*s + 8 = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 c, and 1 q when four letters picked without replacement from ttctcwccwqtcw.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1134)*2 - sqrt(1134) - sqrt(1134) - sqrt(1134))*2 - sqrt(1134))\/(sqrt(8)*-1 - (sqrt(4) + -2*sqrt(4))\/sqrt(2)).\nAnswer: 1 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60855 - 12?\nAnswer: 60843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 + 7*s**2 + 9. Let m(a) = -63*a**3 - 26 - 4*a**2 + 43*a**3 - 17*a**2. Let j(u) = -17*k(u) - 6*m(u). What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/501 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4527 (b) -3\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2601, 907, -787, -2481, -4175?\n\"Answer: -1694*x + 4295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 104783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166\/((-33864)\/(-1564))*-15?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 55, -96 in descending order.\nAnswer: 55, 4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 10*p + 3*p. Suppose -4*b + b + 0*b = p. Let a(j) = j**3 - 5*j**2 - 5*j - 2. Let l be a(6). Solve 0 = -2*q - b + l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-78 - -2)) + 6 + 12 + 10 + -21?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13110*t**3*y**2 - 126507*t**3 + 2*y**2 wrt y?\nAnswer: -26220*t**3*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 12.1 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8029 and 999?\nAnswer: 216783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 9*p**2\/2 + 2016. Let v(n) = n - 6. Let j(x) = 3*x - 13. Let o(w) = 6*j(w) - 13*v(w). Give d(o(c)).\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 41*b - 5. Let j be r(19). Suppose -19*t + j = -43. What is the biggest value in 0.15, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from {p: 7, d: 4, k: 4}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2\/2 + 79326*w - 1048769046 = 0.\nAnswer: 26442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 22*x + x**3 - 21*x + 12 to q*x**3 + d + k*x**2 + f*x and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -r, 0*q - q = -r. Suppose -7*p**3 - 3*p**2 + p**3 + 2*p**2 - 3*p**r - 14*p**5 + 24*p**4 = 0. What is p?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - o - 1)*(2*o**2 + 3*o**2 - 3*o**2) - 2*o**3 + 2*o**3 + o**3)*(-29 + 10 - 17)*(0*o - 2*o + o) as c*o**2 + r*o**3 + m + h*o + j*o**4 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 - 0)*4. Suppose 2*l + 3*n - 6 = 0, -2*l - i*l + 12 = -3*n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + 1.8. Let s = u - -6.46. Let y = s + -7.90000098. Round y to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 16 - (-2 + -1) - 10) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 37.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let u be (11 - x) + (2 - 2). Suppose u = 4*y + y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.7 + -32.2. Put -0.1, -5, g in decreasing order.\nAnswer: -0.1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*k + 3)*(3*k - 7*k + 3*k + (3 + 2 - 8)*(0*k + 2*k - k) + 3 - 3 + 3*k + 2*k + 3 - 3).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + 0*u + 5*u - u - 2*u + (0*u + u - 3*u)*(0 - 3 + 5) + 3 - 3 + u + 2*u + 1 - 1 - 4*u + 0*u + 3*u + (u - u + 2*u)*(2 - 1 - 3).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5758 - -11280. Calculate the remainder when a is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -18. Let z be (0 + f\/(3 - 6))*0. Let w = z - -142. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12909155946 and 0.032632.\nAnswer: 12909155946.032632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**2 - 410. Let g(m) = 1234*m**2. What is l(g(v))?\nAnswer: 2468*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748 = 88*x + 76 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190 and 26.\nAnswer: -4940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 + 3. Let u be a(-7). Suppose 0 = u*n - 56*n + 80. What is the remainder when 219 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 8*o + 5. Let u be h(-6). Let k = u - -91. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-35)*(-20 + 20). Let u(m) be the second derivative of m**2 + 8*m + 1\/6*m**3 + 1\/12*m**4 + s. What is u(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*g + 434*g - t - t = -38, -2*t + 2 - 3 = -11*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1556*l + 39*l + 3047*l)*(-2 + 0 + 5).\nAnswer: 13926*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 2*f + 3*u, 5*f - 5*u - 176 = 219. What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011650629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(10 + 9*i - 10) to the form b*i + r and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**6\/240 - s**5\/30 + 47*s**4\/4 - 2*s + 32. Let p(w) be the third derivative of o(w). Determine p(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 divided by 123078.\nAnswer: 253\/123078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/45*19\/285)\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 2*k**3 + 2*k**3)*(0*k + k + k) + k**5 - 2*k + 2*k + (19*k**3 - 19*k**3 - 6*k**5)*(-1 - 2 + 6).\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/(-12*(-1)\/16). Suppose 114 = r + 2*o, t*o + 559 = 5*r + o. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 - -55?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3945445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:40 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d - 168. Calculate the remainder when 1155 is divided by n(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 79490*r. Let f(d) = 6*d**2. Give u(f(w)).\nAnswer: 476940*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5163966 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 701, 1534, 2721, 4274, 6205?\nAnswer: 8526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, w: 2, f: 2, a: 1, l: 3}. Give prob of sequence cc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334 (base 8) to base 3.\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 13\/1) + 4. Let a(z) = -5*z - 25. What is a(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1777*p**2*y**4 - 2*p**2*y - 2*p*y**5 - 2941*p*y**2 wrt y?\nAnswer: 42648*p**2*y - 120*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 17889726*o\/5 + 17889724\/5.\nAnswer: 2*(o + 1)*(o + 8944862)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116637, -235742, -354843, -473940, -593033, -712122?\n\"Answer: 2*t**2 - 119111*t + 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-67)*(-6)\/(-9). Suppose -22 - 2 = 6*x - 30*x. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(768)*-4 + -5)*1)**2*-5.\nAnswer: -61565 - 3200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/1260 + z**6\/180 - z**5\/60 - z**4\/6 + 2*z. Let n(y) be the third derivative of f(y). What is s in n(s) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 14*c**2 - 34*c + 21. Let g be o(35). Suppose -g = -18*k + 9345. List the prime factors of k.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/950 and 86\/95205?\nAnswer: 18088950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from bjblibwibbil.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 505 = 0. Suppose 2*u - 603 = -q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -636*n - 16988. Determine c(-27).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -0.5, -1\/6, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590 - 4*k + 292*k**2 + 2*k + 2*k - 290*k**2.\nAnswer: 2*k**2 - 590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2739 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-7)\/(-1 - -2). Let q(i) = 14*i - 6. Let s(x) = 13*x - 5. Let o(p) = 4*q(p) - 3*s(p). Is o(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 76. Let x = -1824 - -1843. Is p at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.7 - -77.3. Let j = r + -51.6000451. What is j rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1896 + -17?\nAnswer: -18ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.43009 centimeters to meters.\nAnswer: 0.5543009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 99. Let j = -29 + f. Suppose -p - j = 2*l - 4*p, 5*p - 9 = l. Solve 0 = s - l - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101110001001?\nAnswer: -101110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 112*q**2 - 176*q + 2440. What is the units digit of x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:22 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m - 183 + 181 - 40*m.\nAnswer: -85*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 10930 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 188, 106, 24, -58, -140?\n\"Answer: -82*p + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -20. Suppose -g + 13 = -4*m - 4*k, 0 = m - 3*k - 5. Sort -2, m, -5 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 3434640.\nAnswer: 19\/1717320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 87 + 64 + 97)*(-2*z + 4*z + 0*z).\nAnswer: 528*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*y**4 + 43*y**4 - 3*y + 46*y**4 + (0*y**2 + 2*y**2 - 3*y**2)*(-282 - 16*y**2 + 282).\nAnswer: 11*y**4 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t\/(t\/t**(-6)))\/t)))\/t**0)\/(t\/t**4*t*t\/(t\/((t\/t**(-6))\/t))) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3887 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 k, and 1 q when four letters picked without replacement from lkvqlkbbd.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211512290 divided by -45683.\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 4*g + 1. Let o be y(5). Let p(a) = -4*a - 2. Let d be p(o). Let v be -1 - -3*6\/d. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**7\/2520 + q**5\/120 - q**4\/36 + 10*q**3\/3 - 15. Let a(x) be the third derivative of p(x). Factor a(o).\nAnswer: -(o - 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-1 - -3) + (-72 - -73) - -25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360.311*0.5.\nAnswer: -180.1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2728*x**2 + 1054. Let c(d) = 31*d**2 + 12. Let s(f) = -6*b(f) + 527*c(f). Let a(u) = 4*u**2. Give s(a(h)).\nAnswer: -496*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 3*a + 5*n, -101*n + 96*n - 504 = -21*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**6 + 24478*s**5 - 234*s**2 - 118.\nAnswer: -600*s**3 + 1468680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87994827 or -87994825?\nAnswer: -87994827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.5, 0.1, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*m = 2 + 25, 0 = -2*l + m - 33. Let f(n) = -4*n - 161. Let b be f(l). Which is smaller: -91 or b?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 34 + 6*w + (2 - 2*w - 2)*(1 - 2 + 0) + 1 + 2*w - 1.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-30)*(18\/4 + -3). Sort 8, f, -5, 3 in descending order.\nAnswer: 8, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:22 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + t - 2*t - 139, 5*l + 4*t - 119 = 0. Let a = l - 25. What is o in -2*o**a + 4\/5 - 6\/5*o = 0?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1949*d**3 - 2*d**2. Let j(g) = -3895*g**3 + 5*g**2 + 1. What is 2*j(l) + 5*v(l)?\nAnswer: 1955*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011101101 + 1000011001?\nAnswer: 11011100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.50363 milliseconds in microseconds?\nAnswer: 75503.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10 - (-3 + 3). Suppose -p = -4*c - 5, 5 = -2*c + 5*p - 2*p. Sort c, n, 5 in descending order.\nAnswer: 5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (29 - -43) + -30.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.199868 + 13.2. Round p to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1792 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/11, -0.3 in descending order.\nAnswer: 2\/11, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from ooououqbqdouoqobbuo.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 29 - 36082*o + 72095*o - 36137*o.\nAnswer: -124*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -1 in descending order.\nAnswer: -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0 + 0*z**2 - 1\/6*z**3 + 5*z. Let o(v) = 9*v**2. Determine o(b(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 5913*q + 1159573. Calculate s(190).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiimh. What is prob of sequence him?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2 (b) 11 (c) 0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1872) + (sqrt(143) + 2*sqrt(143))\/sqrt(11).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4267874 and 6656?\nAnswer: 1092575744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2346123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 231*j**6\/10 + 3465*j**2\/2 - j - 117. Differentiate w(y) with respect to y.\nAnswer: 2772*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*z = -3*z - 61, -5*s - 4*z = -323. Let m be (-14)\/s + (-724)\/(-18). Suppose -16*x + m = -14*x. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 5. Let d(n) = -3*n**2 + 8*n - 19. Let s(h) = d(h) - 2*u(h). Give s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 + c**2*l + 21*c**2 - 11*c*l - 15 wrt c?\nAnswer: 6*c + 2*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10187123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a factor of 675854471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 557579.1ns?\nAnswer: 0.000009292985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k = 37*k - 483. Let z = -18 - 4. Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430 (base 5) to base 14.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 11. Let k be (3\/(-3))\/(2\/(-128)). Suppose 4*x = 2*u + 32, -5*u + 14 - k = -4*x. Let d be r(u). Round d to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 16*a**2 - 12*a**2 + 11*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -36 - 10 - ((-1 - -3) + 0 - 63)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9476482289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 13) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**4 - 11675*o**3 - o**2 + 5*o + 31994 wrt o?\nAnswer: 192*o - 70050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + (-244 - -66) + 47.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68620 by 146.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 56538?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6048) - sqrt(6048))\/sqrt(6))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442*i = 7028*i + 2936 + 1195 + 1455 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1542*a + 83048 - 83048)*(-3*a**2 - a**2 + 2*a**2).\nAnswer: 3084*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5812\/7 less than -830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*b + 31, 0 = 2*b + 2*s - 6. Let q(y) = 17*y + 31. Let c be q(-2). Put 0, b, c in ascending order.\nAnswer: c, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 + -23220?\nAnswer: -22520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) + 52*108\/80. Solve 66*x = d*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -41. Suppose 2902 = -24*a - 1298. Let m = -197 - a. Is z greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*d - 10 - 255 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + ((-2 + sqrt(1100) + 0 + sqrt(1100) - (sqrt(1100) + -1*sqrt(1100) + 4)) + (sqrt(1100) + (sqrt(1100) - (-5 + 1 + sqrt(1100))))*4)**2.\nAnswer: 1200*sqrt(11) + 39699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 3*v**3 + v**2\/2 - 3*v. Let d(f) be the second derivative of f**4\/12 - 10398*f. What is d(h(u))?\nAnswer: 324*u**2 + 36*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 38575*q**2 - 38575*q**2 + 8*q + 146*q**3 in the form u*q**3 + l + b*q + z*q**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c + 21. Let r be 1\/c - 1883\/(-35). Let o be (1 + 1)*6\/r. What is the nearest to -0.1 in -2\/7, -2\/5, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21816d9 - -3?\nAnswer: -21816d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 26257473.\nAnswer: 4\/26257473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 106, 1\/40, 0.1, 3, -2\/11 in decreasing order.\nAnswer: 106, 3, 0.1, 1\/40, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179756, -0.0111, 5\/4 in decreasing order.\nAnswer: 5\/4, -0.0111, -179756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:23 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmt when four letters picked without replacement from mbmmbmtb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84125\/14 + -6003. Calculate the common denominator of -103\/10 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 4*x + x)*(0 + 0 + 4*x) as b*x**2 + i + s*x and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = -2*p - 2*p, 4 = 2*h - 2*p. Let k = 5.2 - 5.9. Let q = k + 1. Sort h, q, -1, 4 in ascending order.\nAnswer: -1, q, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -17, -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412507914 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-1 - -1) + -9 + 84 + -80). Solve -269*v + 279*v - g = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 22. Let a be l(-5). Suppose -3*m = 2*q - 3, 4*m - 2*q - 4 - 14 = 0. Solve -a*t + m*s = -2*t + 5, -s + 10 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.572, 0.11, 37, 1?\nAnswer: 0.572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**3 - 3*l**2 - 14*l - 22. Is y(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 0, 12 = -5*t + 3*t + 4*y. Suppose t*c + 4 = 38. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 562 + -457. What is the highest common factor of 165 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 196*c. Let q be h(14). Suppose 15*g = -q*g + 120. What is the highest common factor of g and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01840703 rounded to five decimal places?\nAnswer: -0.01841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*a + 4 = 0, -3*a = -w + 4*w - 15. Suppose 0 = 5*u - 3*b - 595, -w*u + 0*b + 3*b = -229. What is the remainder when u is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8618 and 2224.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 5, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 241, 1383, 3283, 5941, 9357?\n\"Answer: 379*k**2 + 5*k - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240825449 to the power of 1\/2, to the nearest integer?\nAnswer: 15519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6597171 weeks in minutes?\nAnswer: 6649.948368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8512769 nanometers?\nAnswer: 0.00000008512769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and -11289?\nAnswer: -440271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bby. What is prob of picking 1 y and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4749 or -39?\nAnswer: -4749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 122638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g = -95*g - 27*g - 26*g - 3024 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-15375360)\/(-216) - (392\/630 - 2\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 17635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9008679 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p + 52. Let z = -33 + 41. Let a(g) = 85*g + 154. Let k(t) = z*q(t) - 3*a(t). Find the first derivative of k(r) wrt r.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12296 < 12763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**2*v**5 + 2*t**2 - 36*t*v**5 + 6*t*v**2 + 15*v**2 wrt v?\nAnswer: -240*t**2*v**2 - 2160*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4545 + 4552 + 0 + 35.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*g + 146*g = 288*g + 168. Let h(y) = -y - 7. Determine h(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 459980863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2080 + 12411. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 615, 1235, 1847, 2457, 3071, 3695, 4335?\n\"Answer: w**3 - 10*w**2 + 643*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.81 less than -0.9?\nAnswer: -72.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001396741 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -115, -304, -559, -874, -1243, -1660?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4936 a factor of 5243246675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364 + 702. Suppose -f + 3*h + 300 = 0, 1928 - o = 5*f + 3*h. Calculate the greatest common divisor of 70 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1)))**47\/(r*r\/(r**1*r))**(-5\/8) assuming r is positive.\nAnswer: r**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + (-38)\/(-6). Let o be ((-1 + 1)\/(-2))\/1. Suppose -9 = -3*p - o. Solve i - 10 = -p*g, -2*g = -k*g + 5*i + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 53. Let u(a) = -4*a + 2 - 8 + 3*a + 2*a. Let d be u(w). Let m(r) = -4*r**2 + r + 1. What is m(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:58 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 658057 by -1.\nAnswer: -658057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.033 (b) 0.06 (c) 5 (d) 3\/4 (e) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**27)*t*t*t\/(t\/((t\/((t**(-26\/5)*t)\/t))\/t))*t**(-1\/10)\/(((t\/(t\/t**(-2))*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/3 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 14*p**2 - 48*p - 39. Calculate s(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:37 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1640376, -1640370, -1640358, -1640340?\n\"Answer: 3*z**2 - 3*z - 1640376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 48*c**2 + c - 23. Let m be i(24). Is m - (-1)\/(-2) - (-88101)\/26 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.87 * -10\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25427 and 670643?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 807 times 2\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -55151?\nAnswer: -55151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let o = -0.45 + 0.25. What is the third biggest value in p, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152.7 times -1744\nAnswer: 266308.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -116524232 (base 7) to base 15\nAnswer: -9ad048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**3 + 2*s**2 - s. Suppose 5 + 24 = 3*i + r, -i + 2*r - 2 = 0. Calculate the remainder when u(1) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*y - 288 = u, -3*u = 4*y - 433. Suppose 137*b + 32400 = u*b. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**4 - 21*k**3 - 21*k**2 - 5*k. Let l(b) = -55*b**4 - 230*b**3 - 230*b**2 - 55*b. Let s(d) = -6*l(d) + 65*w(d). Determine z so that s(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, u: 3, t: 3}. Give prob of sequence us.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38675 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003*h**2 + 6 + 1058*h**2 - 3084*h**2 + 10 + 1048*h**2 - 16.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Suppose 2*v = -0*m - 3*m + 16, 3*v = -i. Let b(y) = 3*y - 13. Let n be b(m). Solve -4 = n*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or 1.5?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + x - 2. Suppose -2*k - 1 = -11. What is the units digit of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82470 by 41235.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*0\/(-3))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 11*u + 13. Suppose 77*k = -299 + 1069. Give w(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1625)\/10725*(4 - 3 - -2).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/304 and 69\/160.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -3317, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4926 divided by -6\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:41 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/13)\/(y**(-3\/2)\/y*y))\/((y\/((y*y**(-12\/11))\/y))\/(y\/y**(-13))))**8 assuming y is positive.\nAnswer: y**(15516\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7474124*a*x**2 + 89377*a*x + 10*a wrt x?\nAnswer: 14948248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.75 times 3?\nAnswer: 26.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92\/598 + (146614\/(-1690) - (-2)\/(-5)). Which is bigger: s or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 2 + 3*u - 23*u**2 + 3*u. Let i be b(2). Calculate the common denominator of (3\/4)\/(i\/(-1420)) and -8\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -80. Suppose -4*g = 20, 0*g - i*g - 13 = -b. Suppose 0*o = 3*t - o + 31, -b*t = -3*o + 27. Is t smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/70*14)\/(6\/4). Let c(i) = -8*i. Suppose -5*o - 111 - 134 = 0. Let g(s) = -63*s. Let h(m) = o*c(m) + z*g(m). Let n(q) = -q. Give h(n(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 0 - (-53 - -54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 731*z**4 - 405*z**2 - 21*z**4 + 77*z**4 + 1699*z**2 wrt z?\nAnswer: 18888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2736 and 27.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - q = -1, 0 = -2*u + 20*q - 16*q - 16. Let t be (175\/u)\/((-1)\/6). Calculate the highest common divisor of 75 and t.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**3 + 49*j**2 - 25*j**2 - 24*j**2 + 7 in the form l + w*j**2 + g*j + x*j**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 - 9562*o\/3 + 22857961\/3 = 0. Calculate o.\nAnswer: 4781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-475)\/5 - (2 + 0). Let y = -92 - t. What is the smallest common multiple of 51 and y?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhttffhhftfhhht. Give prob of sequence htt.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 6*x + 2, -x - 177025*l = -177027*l - 43 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*v - 36, -15*k = -13*k + v - 126. What is the greatest common factor of k and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - ((-4 + 4 - -11) + -3)) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81607 (base 11) to base 5\nAnswer: -12303232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*i**3 - 23*i**3 - 16*i**3 + (0*i**2 + 0*i**2 - i**2)*(-i + 0*i + 0*i) - 7*i**3 + 4*i**3 + i**3 + 2*i**3 + 0 + 0.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/143309 - -427634035\/3009489. Let x = z - 142. What is the fourth biggest value in x, -1, 3\/4, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/1 - 2. Let a = 1\/84 - -23\/84. What is the closest to a in g, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7712*x**3 - 23166*x**3 + 7734*x**3 + 7709*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8127805 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.164 + 119.164. Let p = 118.9728 - m. Round p to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461086068 bigger than 461086066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 11.\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/73055520 and 113\/108.\nAnswer: 73055520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - -203957.\nAnswer: 203955.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 5*r**3 + 6*r**3 + (2 + 2 - 3)*(-5*r**3 - 12*r**2 + 12*r**2) + 2*r**3 + 2*r**2 - 2*r**2 to c*r + b*r**2 + k + j*r**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 1153543*n - 5767690 = 0. What is n?\nAnswer: -1153538, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 543037082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199672371 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40894 (base 13) to base 4\nAnswer: -130100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) 2\/313 (b) -364\/5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 38912.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:39 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + a**2 + (5*a + 0*a - 3*a)*(-a + 3 - 3) + a**2 - a**2 + a**2 + (-5 + 4 + 2)*(16*a + 12*a - 27*a)*(-6*a + 3*a - a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -809, -810, -811?\n\"Answer: -j - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 + 8*k - 4. Let a(c) be the first derivative of 2*c**3 + 3*c**2 - 3*c - 150. Let t(m) = -4*a(m) + 3*g(m). Let z(x) = 8*x. Determine t(z(q)).\nAnswer: -384*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163132608?\nAnswer: 2, 7, 13, 371417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 + 3*w. What are the prime factors of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170160.\nAnswer: 2, 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 95 + 7 + 2*q - 95 - 6 in the form d + u*q and give d.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1684575 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 208 - 970 = 0. Is g*(2 + (-21)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-2)\/8) + (-3384)\/(-288). Suppose -w = -4*z + l, 2*w = z - w. Solve -r - 2*r - z = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 1. Let u be r(2). Let d = 19 - u. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -423 - -3*(3 + -4). Let w be v\/105*(-25)\/(-20). Let b = -297\/7 + w. What is the common denominator of b and -85\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbjjjyjbjyb. What is prob of sequence bjj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -284.942887 to 1 decimal place.\nAnswer: -284.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000366773825 to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180578.\nAnswer: 2, 90289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from {l: 3, j: 9}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 21*p**2 - 130*p + 85. Calculate the smallest common multiple of 445 and s(26).\nAnswer: 7565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8356683 + 211.1640927. Let t = 57 + -272. Let r = v + t. Round r to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 420, 4112, 14342, 34380, 67496, 116960, 186042?\n\"Answer: 545*g**3 - g**2 - 120*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3, -1, -15, -6, 373?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 23471 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 - 4*s + 4. Let f be d(3). Calculate the common denominator of -7 + f + (-142)\/6 and -93\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 22\/201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 11. Let t be v(-5). Suppose t*s = 346 + 3596. Suppose -11*o + 2*o = -s. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3768*v + 121 - 58 - v**2 - 63.\nAnswer: -v**2 + 3768*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -503852673.7 rounded to the nearest one million?\nAnswer: -504000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, -287, -1148, -2857, -5696?\n\"Answer: -47*a**3 - a**2 + 37*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*s - 19900 - 4666, 40948 = 5*i + 2*s. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 - (7 + -7)) + -6 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -4, 5, -21.\nAnswer: -21, -4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.205 - -83.205. Let m = x - 85. Let r be 0 + -1*(-6)\/(-16). Which is the second smallest value? (a) r (b) 0 (c) m (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3880, -3672, -3320, -2830, -2208, -1460, -592?\n\"Answer: -d**3 + 78*d**2 - 19*d - 3938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, i: 1, z: 4}. Give prob of picking 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -208 (c) 0.2 (d) -574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 29281788*f - 29281785.\nAnswer: -3*(f + 1)*(f + 9760595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -5*i - i**2 - 1\/3*i**3 + 1\/20*i**5 + 1\/4*i**4 + 0. Calculate p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2328 - 7147\/3. Let r = 54 + m. Let t = -376.97 - -377. Which is the biggest value? (a) t (b) r (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1 + 1)*-17. Suppose 2*z + 18 = r + 3*r, 0 = -3*r - 2*z + l. Let o = 10 - r. Which is the nearest to -1? (a) -0.4 (b) o (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 4*v**2 + 3*v**2 - v**3 - v**2 - 1. Let r(j) = -3*j**3 + 3*j**2 - 4. Calculate -5*l(q) + r(q).\nAnswer: 2*q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*i = 183*i - 24. Let r be (16\/i + -1)\/((-10)\/(-12)). Suppose -7*w + 5*w - r = 0. Which is the fourth biggest value? (a) -3 (b) -2\/9 (c) 2\/7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(20\/18)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.355 and 743?\nAnswer: 263.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z. Let y be d(-2). Calculate the remainder when 65 is divided by (-6248)\/(-242) - (-4)\/y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132274446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) -16.9 (c) -1\/56 (d) -10 (e) 4\/3 (f) 2\/7 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u**2 - 30*u. Let k(d) = 5*d**2 - 5*d. Let t(o) = -3*i(o) + 18*k(o). Let q(m) = -92*m. Calculate t(q(j)).\nAnswer: -152352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-32 - -17 - (-13 + 0) - -10 - 48).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -2\/3, 210.5, 0.038?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105906078 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364*k - 8201*k + 1364*k + 1360*k + 1359*k + 1361*k + 1399*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126)\/(-27)*30\/7 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u = -3*u - 4*m - 240 + 231, 10*u - m + 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -261453 at least -261453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150976387 to the power of 1\/2, to the nearest integer?\nAnswer: 64428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4416*p - 30916. Let g be u(-7). Let x = -78\/5 + 141\/10. What is the closest to g in 2\/3, -1\/12, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 60.9. Let z = 0.1 - g. Which is the second smallest value? (a) z (b) -2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.152 + -374.092. Let v = r + 366. What is v rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t + 22. Let k be w(-7). Let y(q) = -q**2 + q + 5. Let a be y(4). Let z = k + a. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 - 5*i**3 + 3*i**3 + 7 + (1 - 1 + i)*(2*i**2 + 2*i**2 - 2*i**2) + (i**2 - i**2 - 2*i**2)*(2*i + i - 4*i).\nAnswer: 6*i**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177.1959 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.4 (c) 0.5 (d) -30 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 5*w + 4*w)*(-3 + 4 - 3) - w + 2*w + 2*w)*(-6 + 4*w + 6).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h - 35. Give m(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-12*((-21)\/14)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 61. Suppose 178 = -f*x + 3*x - 2*c, -2*x - 3*c = 181. Is x at most -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*y + 185 = 0, -5*s - 8*y + 230 = -4*y. Suppose 26 = -p + s. Calculate the least common multiple of p and 86.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*f - 8, -5*n - 94*f = -92*f + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1944 divide 848249002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 - 2336. Let s(m) = 2*m**2. Determine c(s(d)).\nAnswer: -28*d**4 - 2336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 1 - 4*h + 0*h. Suppose -3*u = 2*y + 2 - 5, 0 = -2*y + 2*u + 8. Let i be (-44 + 48)\/(1*(y - 1)). Determine q(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {f: 4, h: 2, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppbppbp. What is prob of sequence pb?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let o be c(-8). Suppose -12*b + 20 = -o*b. Find the first derivative of -d**3 - 5 + 4 - b wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 280. Let b be o(48). What is the greatest common divisor of b and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 9. Let t(r) = 3*r - 5. Let v be (-78)\/(-9) - (-1)\/3. Let l = 496 - 501. Calculate l*z(y) + v*t(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41064*g**3 - 3*g**2 - 192421 wrt g?\nAnswer: -123192*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 442 = 2 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.4. Let u = 2121 - 2121.3. Which is the closest to l? (a) -0.7 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5963721.8254 and 0.17.\nAnswer: 5963721.9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 3*j**2 - 3*j**2 + (-2*j**2 - 3*j**2 + 0*j**2)*(-12*j - 8*j - 9*j) to k*j**2 + a*j + z*j**3 + q and give z.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 524 + -517. Sort q, 5, 32 in ascending order.\nAnswer: 5, q, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 200\/(-125) + (-78141)\/15. Round f to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 2. Let a(i) = -19*i**2 - 13. Let s(m) = a(m) - 5*h(m). Let z(n) be the third derivative of -n**4\/24 - 3*n**2. Give s(z(g)).\nAnswer: g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.08, -419?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -845 + 1065. Let w = k - 219.6. Let o = -0.25 - 0.05. What is the second biggest value in o, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 40 + 36 - (-7 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2652 + -2651.8. What is the smallest value in -3, 3, -2\/15, c, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44405 = -2*p - m, -3*p + 2*m = -3*m - 66575. Round p to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -540918, -1081833, -1622748, -2163663?\n\"Answer: -540915*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 14. Let l be -7 + 6 + 3 + 2. Let c be (-420)\/(-24) - (-2)\/l. Suppose -c = -3*j + 3. Give k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64432.204 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/11 (b) 0.4 (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let c(b) = -3*b**2. Let d(z) = -4*c(z) - 11*k(z). Let v(w) = 10*w**2 - 9*w. Determine d(v(j)).\nAnswer: 100*j**4 - 180*j**3 + 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 74. Calculate the greatest common factor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6812 + -0.684. Let o = b + 0.0028. Let k = -2.04 - -0.04. What is the fourth biggest value in -4, k, o, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -8*i + 37*i. Solve -2*q - 7 = 3*u - 15, 4*q + 16 = i*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 11*v - 4. What is f(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 871908888*y**2 + 2*y + 146939833 wrt y?\nAnswer: 1743817776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 21002?\nAnswer: 20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 23, 5, -2\/15 in descending order.\nAnswer: 23, 21, 5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = -4*d + 36, 5*k + 3*d = 35. Is (-2)\/k*(5 + -283) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12890*d - 34. Let p(g) = -73*g**2. Give f(p(y)).\nAnswer: 940970*y**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 233018 + 1886?\nAnswer: 235015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -36*(-2 + 16\/12) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398*4412.77\nAnswer: -1756282.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 174 = -4*w, 5*w + 2*q - 5*q = 190. Suppose 267 = 44*j - w*j. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/1)\/(5 - 4 - 3). Solve w = 3*n - 5*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddii when four letters picked without replacement from iiidmidiiikmiidi?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 2, i: 1, x: 1, f: 3, l: 10}. Give prob of sequence efff.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - i + 15 + 59, 5*o + 72 = 3*i. What are the prime factors of 5*(144\/o)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64948.91076 and -6.\nAnswer: 64942.91076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 40*z - 37*z, b - 3*z = 4. Sort b, 0, -1, 2, -10 in decreasing order.\nAnswer: b, 2, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.5 + -86.5. Let b = 163 + -159. What is the third biggest value in l, 0.1, b, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 1. Suppose -10 = -6*y + y. Suppose 0 = d + d + y. Let x(z) = -19. Let f(h) = h + 20. Let b(p) = -f(p) - x(p). Determine d*m(k) - 3*b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkzzkvvvvp. What is prob of picking 1 p, 1 k, and 2 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 341524181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + y**2 - 2*y + 1. Let h be d(1). Suppose 4*v + h*f - 94 = 7, 2*f = -2. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, -84 in descending order.\nAnswer: 3, 1, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(2 - (-12)\/(-10)). Let o be 10*(1 + 0 + z). Let p = o - 17. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/15 + 65102*p**3\/15 - 2109702*p**2\/5 + 30076298*p\/3 + 156775696\/15 = 0. What is p?\nAnswer: -32648, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*d + 5923 - 19941 = 73577 + 24401 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2900\/(-18850) + ((-460)\/26)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 171*n - 3885. Calculate c(24).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -14. Sort b, 3, -1, -4.\nAnswer: -4, -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334 (base 6) to base 4.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5\/(-3)*(-36)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 27 = 5*r + 8, 35 = 2*v - 3*r. Suppose 2*c - 7*c + v = 0. Find the first derivative of -2*f + 3*f - c + 0*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -40, -55, -70, -85, -100?\n\"Answer: -15*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let f = 0 + 2. Let p = -3 + f. Which is the nearest to l? (a) p (b) 1\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2523 = -9*z - 2460 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 + 3*h**2\/2 + 4*h - 3. Let z be v(4). Suppose z = -2*s + 5*s - 6. Solve m + 2 = -s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1036629, -1036630, -1036631?\nAnswer: -1036632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 492453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 136\/3. What is the common denominator of 40\/3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, v: 1, z: 1, p: 2, x: 1}. Give prob of picking 1 z and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)*l*l*l**(-3\/8))\/(l\/l**(1\/4)*l)**(-39) assuming l is positive.\nAnswer: l**(2791\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 241 (c) -328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3207 at least -22448\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 6*g**2 + 0*g**2 + (-3 - 2*g + 3)*(-2*g - 5*g + 5*g) - g**2 + 3*g**2 - g**2 + (3 + g - 3)*(4*g + g - 3*g).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 35 = -5*r + 6*z, 0 = -4*r - 5*z - 13. Let v be -6*(r + (-39)\/12). Which is the second smallest value? (a) -0.4 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 3*m + 2*m)*(2 - 2 + 1) + 2*m - 2*m - 2*m)*(3*m**2 - 3*m**2 - 9*m**3).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85407 and 383817.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*u - 1273 + 1273)*(3 + 1 + 0) to r + f*u and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19295\/144496 - -21\/821. Let y = -1190 - -1206. Find the common denominator of o and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35867\/143 - 2\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*w**2)*(-4*w + 0*w + 2*w) - 3*w**3 + 3*w - 3*w)*(6 + w + 0 + w).\nAnswer: 2*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178812 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 517 + 2937 = 0. Let b = h - -813. Suppose 7*u - b = -112. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:56 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -11*a - 495. List the prime factors of a.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 + 15 + 177. Suppose -3*f + 8*f = -q - 233, 3*q - i = 4*f. Let h = f + 122. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -32 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 1, u: 2, s: 1, d: 1}. Give prob of sequence ucsd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -d + 7, d + 2*t = -3*d. List the prime factors of -4*(0 + -1 + d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (2 + 28\/(-2)). Suppose -16*u + 17*u + v = 0. What is the remainder when 6088\/48 - 5 - 2\/u is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/((-2)\/(-372)). Let z = p + 72. Let m(a) = 4*a + z*a - 13*a. Let d(g) = -3*g**2. Give m(d(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 6*l**2 + 4*l + 7. Let a(b) = -2*b**2 - 3*b + 22. Calculate the smallest common multiple of s(5) and a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 129594 = 2*g, -2*g + 2*z = -22806 - 106782. What are the prime factors of g?\nAnswer: 5, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 0.1 (c) 10 (d) -0.2 (e) 5\/4 (f) 0.2 (g) 4392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 954505414 to the power of 1\/2, to the nearest integer?\nAnswer: 30895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953.\nAnswer: 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 79 + 3 + (-5 - -15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 3 - (-6391 + 2). Is (-2)\/(-9) + b\/72 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let n be r(5). Let b = -14 - n. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/878677 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 669 and 70914?\nAnswer: 70914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/136587 and 14\/9.\nAnswer: 409761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*i + 142. Suppose -10*l + i*l = 34208. Is (-1)\/(-5) - (-5 + l\/(-40)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 834332*k + 1668648.\nAnswer: 4*(k + 2)*(k + 208581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 6. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31603.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72736 divided by -7.\nAnswer: 72736\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307323.\nAnswer: 1093, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, -0.27, -2\/9, -1\/7?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*i = -17, -4*r = -4*i + 2 + 10. Suppose -65 = -5*g + 5*m + 50, r*g + 4*m = 52. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 24 = 4*i. Let t = -54\/5 + 10. Is t at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 9*u + u**2 + 0*u**2 - 6. Suppose -3*c = 4*v - v - 3, -4*c = -4*v + 36. Calculate the remainder when v is divided by n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70398 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500313.\nAnswer: 811, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 17 - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.667 + -1.333. Which is the nearest to p? (a) 3 (b) -4 (c) 1\/2 (d) 6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + -96. Let x = s + 132. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*b - 4*b. Suppose b = 5*i - 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from snhif?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0121 greater than 18\/73423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8283 = -203*j + 214*j. What is the remainder when j is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.0359\nAnswer: -0.01077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4074896 and 434?\nAnswer: 126321776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 481404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5*j**3\/3 - j**2\/2 + 2897. Let v(i) = 8*i. Give v(a(l)).\nAnswer: 40*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9*n**2 + n - 7. Let y be t(9). Suppose y*m - 7 - 1 = 0. Suppose k + 36 = m*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 3*h**5\/20 - 64*h**3\/3 - 21*h**2 - 3. Let l(t) = t. Give m(l(f)).\nAnswer: 9*f**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 1791 = -356. Solve 0 = -2*a + 105 - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmr when three letters picked without replacement from {v: 1, m: 2, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -724*w**2 - 131*w + 4. Let k(u) = 724*u**2 + 120*u - 5. Let o(r) = -4*k(r) - 5*n(r). What is the second derivative of o(p) wrt p?\nAnswer: 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -480 - -477. Let b(i) = 24*i**2 - 14*i + 14. Let q be (0\/(-1))\/(-1) - 14. Let d(v) = -5*v**2 + 3*v - 3. Determine c*b(s) + q*d(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {z: 3, p: 3, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3905, -7811, -11717?\n\"Answer: -3906*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665699138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*f**3 - 2597*f - 1731*f**3 + 2597*f.\nAnswer: -1942*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 times 851.3?\nAnswer: 1069232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 5. Let x be o(-3). Let u be ((-4)\/(-3))\/(x\/3). Let g = 13 + -8. What is the third biggest value in -1, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times -4443\nAnswer: -933.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 14*i + 25. Let g be o(-10). Let w be (g\/(-30))\/(10\/(-4)). Which is the second smallest value? (a) -2\/5 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*r + 1287*r - 40900 = -820*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*m + 5*m + 61*m + 74*m in the form l + z*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2328753 - 1440753. Let q(i) = i**3 - 10*i**2 + 3*i + 45. Let v be q(9). Let j be (d\/v)\/((-4)\/(-150)). What is j rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1116\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1872) + 0 + 3).\nAnswer: 18 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-55))\/4*(9920\/(-2232))\/((-2)\/(-9))\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - g = 11, 9 = v - 2*g - 7. Let r(a) = -a**3 + 8*a**2 + 5*a - 13. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -706?\nAnswer: -564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**3 - i**2 - 2*i - 1. What is the units digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 48 - 37)*(1 + 2 - 2 + 5*q).\nAnswer: -680*q - 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-879*r + 1589*r - 3955*r + 476*r - 4288*r)*(-6 - 13 + 17) to p*r + v and give p.\nAnswer: 14114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 15) to base 10\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1465.11 (b) -1\/4 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbb when four letters picked without replacement from {b: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 9579465815094.46?\nAnswer: 9579465815090.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqs when three letters picked without replacement from {y: 1, j: 1, s: 1, d: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:23 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5168974 - 5171366.197. Let l = 2394 + g. Let k = l + -1.8. Round k to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r - r**3 + 35 - 13 - r**2 - 16*r. Let g be h(0). Calculate the greatest common factor of 121 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 3. Let a be k(-11). Suppose -3*j - 161 = -4*r, r + 5*j - a = 27. Let y = r - 16. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*o + 83*o + 35*o - 37*o**2 - 36 + 4*o**4 + 5*o**2 + 8*o**3 = 0. What is o?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -215, -5\/6 in ascending order.\nAnswer: -215, -5\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*p - 1167, -3*p = 2*a - 6*a - 870. Which is smaller: 293 or p?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.71 + -0.7. Let z be (54 - 66 - (1 + -10))\/(-1 - 6). Is s < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 276, 557, 838, 1119?\n\"Answer: 281*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13916130*g - 30103104 wrt g?\nAnswer: 13916130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 56 - 4*j + 57 - 3*j**2 + 2*j**2 - 5. Let o = 4 - 8. Give p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*n - 223, -4*n = -7*n - 3. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 18 + 168*v**2 + 156*v**2 + v - 332*v**2. Calculate p(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*b + 2401 = 185*b + 43*b + 39*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 30291*w**3 - 30290*w**3 - 5*w**2 + 5*w**2 + w**4 - w - 2*w**4 to the form r + p*w**2 + i*w**3 + d*w**4 + s*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -210474 and -489?\nAnswer: 102921786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1707 + 1720 + (11 + -1 - (0 - -2))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39855 + 216309\nAnswer: 256164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35671.\nAnswer: 35671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 5*z**2 - 3*z**2 + 8*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(2 + (-1 - 0)). What is v in v**4 + v**2 + v**3 + 0*v**4 + g*v**3 + v**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggkggggkkgkgg. Give prob of sequence gg.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 704197\/7 + -100597. Determine g, given that -3\/7*g**4 + 9\/7*g**2 - 3*g + 9\/7*g**3 - n = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5.9, -2, 11?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13*a**3 - 40*a**2 - 64*a - 154. Determine t(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:06 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193876*w**4 - 180615*w**2 wrt w.\nAnswer: 4653024*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:55 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65, -97, -143, -197, -253, -305?\n\"Answer: q**3 - 13*q**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-36) - 37\/(-6). What is the common denominator of 53\/5 and 26\/20*r\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r + 6. Let h be (-5)\/r - (-27)\/36. Solve -h*k = -4*x - 10, 2*x + 0*x = 4*k - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -48 + -39 + 60.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 19.3285?\nAnswer: -17.3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244 + 246. Put -2, -11, -3, h in decreasing order.\nAnswer: h, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cb5 - 9c?\nAnswer: 4c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + -3 + sqrt(68) + -1 + sqrt(68) + -1)**2.\nAnswer: -72*sqrt(17) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(5 + 0)*1. Which is the closest to 2\/7? (a) s (b) -2\/17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101101101 - -10?\nAnswer: -111101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let y = f - -1. Is (y\/10)\/(2\/620) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6.95. Let y = w + 0.06. Let b = -0.36 - y. Round b to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062513 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 5) to base 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b + 10164 - 128604 = 0. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-21)\/(-126)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18158 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10762597 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4*sqrt(228))\/sqrt(12) + sqrt(19)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20181449*w**3 + 31165605*w wrt w?\nAnswer: -121088694*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 33 = -2*r, -q + 40 = 5*r + 3*q. Let o be (14 - r)\/((-2)\/(-7)). Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.4 != -67.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576135.\nAnswer: 3, 5, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -20. Let o(f) = -f**3 + 6*f**2 - 5*f - 1. Let r be o(b). Let i be 4 - (r + 3)\/(-2). Solve -2*a - 3*d + 0 + 5 = 0, -25 = -i*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u - 3*q - 6, u + 2*q + 4 = 0. Suppose -v - j + 2 = u, 10 = v + 3*v + 3*j. Factor 0*z**v + 3*z + 5*z**2 + 7*z**3 + 3*z**4 - 2*z.\nAnswer: z*(z + 1)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-285)*38*(-1)\/((-2)\/18)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -387 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**3 - 2*p**2 - p. Let d be q(-1). Let t = d - 4. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cczzcccpz?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 - (-72)\/(-154). Let v be (6\/(-4))\/(9\/(-24)). Suppose v*m = -m. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1362, -5303, -11872, -21069, -32894, -47347, -64428?\n\"Answer: -1314*u**2 + u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 3683*x + 14748.\nAnswer: -(x - 3687)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + -1*sqrt(500) + (sqrt(540) + sqrt(60))\/sqrt(12) + 2*4*sqrt(10)\/sqrt(2) + 5.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffef when four letters picked without replacement from jffefjjnffjjjffff?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/51909 and -25\/1311882.\nAnswer: 14430702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/(-73627))\/((-168)\/(-5712))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 1695*u**3 + 23718*u**2 + 82887*u - 588 = 0.\nAnswer: -7, 4\/565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 6*l - 69. Let k be w(-12). Let a be (-17)\/((-6)\/4*(-2)\/(-15)). Let r = a - 39. Put -5, k, r in decreasing order.\nAnswer: r, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4856232959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.06 + 6. Let g = -0.94 + p. What is the biggest value in -5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - 7*a + 6. Let r be h(4). Let c = r + -8. Let y = 699 - 670. Calculate the least common multiple of y and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 3. Let t be 3 - 5 - 0\/(-4). Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 16356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 47, -3, 0.2, -4, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -25. Let q be (-2)\/j*17 - 1. Let p(a) = a + 9. Let u be p(-8). Is q greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*o + 129, 4*r = 3*o - 2*o + 197. What is the common denominator of 466\/r + (-1)\/3 and (-1 - 2)\/(-18)*5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/20*z**5 + 0*z + 0 - 1\/120*z**6 + 0*z**3 + z**2 - 1\/12*z**4. Factor m(n).\nAnswer: -n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpb when three letters picked without replacement from {b: 1, f: 3, p: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98753860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9 = -2586*y + 2587*y, 4*d = 5*y + 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(76) - sqrt(76))*-3)**2 + -5 + (3*(sqrt(76) + 1)*-4)**2 + 1.\nAnswer: 576*sqrt(19) + 11080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04545857 rounded to 5 dps?\nAnswer: -0.04546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let i(x) = x - 6*x + 59*x**2 - 82*x**2. Let u(z) = -58*z**2 - 12*z. Let h(t) = -12*i(t) + 5*u(t). Calculate h(f(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 17. Let l be v(14). Solve -l*f - 13 = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -643663, -1287333, -1931003?\n\"Answer: -643670*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:42 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 2*a + 2. Let p = 6 - 9. Let d(q) = -8*q**2 + 2*q + 3. Let l(r) = 9*r**2 - 3*r - 4. Let b(w) = 6*d(w) + 5*l(w). Calculate p*b(x) - 4*y(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j + 1646870 = 181*j - 334327. List the prime factors of j.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 1. Suppose -5*r = -3 - 2. Let p be 1\/((-1)\/(-5)*1). Let m(q) = -q**2 - 5*q + 6. Determine p*x(s) + r*m(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-o + o + 2*o)*(-2 - 5 + 10)*(3 + 4 - 6).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-1 - 10) + (191 - 185).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.505 * 4.\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -42. Let t(k) = -k**3 + 3*k**2 - k - 16900000. Let y be t(q). Round y to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Let i = t - 0.2. Let b(n) = 2*n + 12. Let g be b(-4). What is the third biggest value in -3\/8, g, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*f - 274 = 306 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 37.68. Let p = 308.63 + -311. Let i = c - p. Round i to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:48 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (31050\/(-3) - 15\/3). What is k rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 14*c - 318. Let z be b(10). Solve z = -s - 5*t - 12, -2*s + t - 2 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 870 + -594. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 3*x**2 - 4*x**2 + 16*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -2.7. Sort 3, -5, b.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + j**2 - j**2)*(-7 + 16 + 6)*(8 - 18*j**2 - 8) to the form c*j**3 + r + s*j**2 + g*j**4 + z*j and give g.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, s: 1, m: 1, v: 2}. Give prob of picking 1 v and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471149.\nAnswer: 7, 67307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (1\/(-1) - -4). Suppose j + z*j - 18 = 0. Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 divided by 61\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173957088897 - 9.\nAnswer: -173957088906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 42 = 2*b + 5*i, -5*b = 3*i + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 28*b = -392. Let u = -76 + b. Let s = 6 + -4. Which is bigger: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*v*z - 12262593*v - 18998*z**2 wrt z?\nAnswer: -18*v - 37996*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69481011*d**3*q - 9288689*d**2*q + 2*d**2 + 3*d wrt d?\nAnswer: -416886066*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13) - 396\/(-39). Let a(t) = t**2 - 4*t - 6. Let h be a(-3). Let s = h + r. Calculate the remainder when 95 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.7 + -7. Let h be 8\/(-15)*(-126)\/24. Let i = 3 - h. Which is the second smallest value? (a) 0.1 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/3)\/(b*b**(-1\/14)*b) assuming b is positive.\nAnswer: b**(-25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, -4.\nAnswer: -28, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 168*t**2 - 245*t + 6711. What is b(85)?\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1061 - -4?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2927, 7, -369 in ascending order.\nAnswer: -369, 7, 2927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 257*n**5\/5 - 1715*n**3\/3 + 1803*n + 2. Find the second derivative of g(v) wrt v.\nAnswer: 6168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 22 = -26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + ((sqrt(110) + (1*sqrt(110) - sqrt(110)))*-5 - sqrt(110)) - 2*sqrt(110)*-3)\/((sqrt(500)\/(-2*sqrt(10)))\/(sqrt(500)*1)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*972\/27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3. Let x be 2\/(-6) - 4\/k. Suppose 5*i + 9 = -x. Which is greater: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l - l - 4 + 4*l. Let f be v(-6). Suppose -3*t = r - 6, f*t + 4 + 2 = -4*r. Which is the second biggest value? (a) 0.2 (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2998*w + 46915 = 3003*w. List the prime factors of w.\nAnswer: 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfz when three letters picked without replacement from zfffzzzffffzbzbbb.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 13, -5, 6, 2\/19, -0.2, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeefeffffffeff. Give prob of sequence feee.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 17*b**2 + 15*b - 189. What is a(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20203 (base 4) in base 15?\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 628?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -144573648.9 and -0.14.\nAnswer: -144573649.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x. Let v(u) be the first derivative of -676*u**3\/3 - 5075. What is v(r(z))?\nAnswer: -24336*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/328 and -11\/875022.\nAnswer: 3500088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 78?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -307357\nAnswer: 2151499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 303871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 5*w - 3. Let z be k(2). Suppose -5*x + j = -z, -3*j + 3 = 4*x - 7. Which is the closest to 0.2? (a) -2 (b) x (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57686 + -29190. Calculate the greatest common divisor of d and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -53*z - 26. Let p(n) = 3010*n. Determine b(p(o)).\nAnswer: -159530*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1933 - -2047. What is the smallest common multiple of f and 27?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 3*w**2 + 3*w - 1. Determine q(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 4, z: 2, m: 1, b: 1, o: 1}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10437, -10391, -10335, -10269?\n\"Answer: 5*s**2 + 31*s - 10473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 324a23 (base 11) to base 13\nAnswer: 1522c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 - 9*a + 0*a**2 + 5\/3*a**3 + 5\/4*a**4. Find the second derivative of l(b) wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725 by 617.\nAnswer: -725\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -12*i**4 + 21*i**3 - 645*i**2 + 2*i. Let w(b) = -3*b**4 - b**3 - b**2 + b. Let p(f) = j(f) - 2*w(f). What is the third derivative of p(y) wrt y?\nAnswer: -144*y + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.2 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12035 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*g*u**3 - 196*g*u**2 + g*u + 2*u**3 - 3*u**2 - 74160*u wrt u.\nAnswer: -696*g*u - 392*g + 12*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Suppose 0 = -o*f + 3*f - 24. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 5 (c) 0.3 (d) 3\/286 (e) 8 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -13. Which is the closest to 1\/2? (a) 0.5 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 10 + 5, 3*l + 22 = -2*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -27. Let v = 29 - y. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 7. Let p(u) = -u**3 - 14*u**2 + 15*u - 6. Suppose 10*c - 14*c - 60 = 0. Let f be p(c). Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**2*i**3 + 2*c**2*i*w - 475*c*i**3*w - 1194*c*w + 2*i**3 - 2*i*w + 2*i wrt i?\nAnswer: 42*c**2*i - 2850*c*i*w + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {c: 4, m: 2, e: 1, a: 1, k: 7, b: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 k when three letters picked without replacement from {k: 2, q: 1, t: 1, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1014 - -685. Let u be (-752)\/a - (0 + (-4)\/(-14)). Solve -u*m + 3*c = -0*m + 13, m + 1 = -4*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-22))\/(32\/176) + -2. Which is greater: 2\/1005 or i?\nAnswer: 2\/1005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29330392 and 5369.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.028? (a) 5.6 (b) 0.1 (c) 0.08648\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58 + 249914026605.\nAnswer: 249914026604.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2 - 1 + 60*d + 5*d**2 - 12 - 54*d. Let a(w) = -6*w**2 - 5*w + 14. Let j(m) = 6*a(m) + 5*t(m). Let u(r) = 5*r**2 - 4. Calculate -4*j(q) - 9*u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8193175?\nAnswer: 5, 23, 14249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 43588790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -52. Let h = c - -250\/3. Suppose -4*j - 11 = -3. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = -44. List the prime factors of -1*c\/(-2)*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 5*d + 1. Let n be r(5). Let q be n\/(1 - 0) + 0. What is the remainder when 132\/(-8)*(-2)\/q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -605*a**2*g + 17*a**2 - 12*a wrt g.\nAnswer: -605*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -371.954 - -377. Let n = k + -0.046. Put 7, n, 2 in decreasing order.\nAnswer: 7, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008692?\nAnswer: 2, 252173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 3*t**3 - 6*t**4 - 1107 + 1109 - 6*t as z + a*t**3 + v*t + o*t**4 + h*t**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -52464561?\nAnswer: 52464560.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 + 157*f**3 - 5864*f**2 + 16508*f - 10800 = 0 for f.\nAnswer: 1, 2, 54, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81\/215 - 1\/43. What is the closest to 0.2 in -1\/24, 3, w?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57842 = -60*b + 55442 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 1, r: 5, a: 3}. Give prob of picking 3 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6482*m - 3712*m + 16 - 20.\nAnswer: -10194*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19*j - 11. Let l be x(11). Let v = -15 + 51. Suppose 3*s + v = 5*s. What is the highest common factor of l and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/20 and (5\/(-630)*-6)\/(20\/(-276)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/2 - a - 4 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-88)\/(-60))\/((-2)\/820). Let z = 614 + r. Find k, given that -14\/3*k**3 - 16\/3*k - z*k**2 + 8\/3 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 15\/(-5))*-6215. Let l be ((-1492)\/(-5))\/(22\/k). Suppose -i + l - 1298 = 0. Round i to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**7\/70 - 181*u**6\/10 + 65159*u**5\/10 + 65703*u**4\/2 + 131769*u**3\/2 + 231*u**2. Factor k(g).\nAnswer: 3*(g - 363)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -4. Let x = 15 + k. Suppose 2*s = 4*u - 0*u + 10, -x*u - 4*s = 24. Let g(z) = -z**3 - 2*z**2 + 2*z + 1. Calculate g(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 652 + 691 - 2*h**3 + 533 + 5*h**3 + 191*h - 1541 wrt h?\nAnswer: 9*h**2 + 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2, -1\/5, -0.1, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 3*g - 108858592 + 108858592 - 1553*g**4 in the form y*g**4 + r*g + l*g**2 + j + x*g**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b. Let z(c) be the third derivative of -c**5\/30 - 9*c**2. Determine z(k(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:09 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1101122220121 (base 3) to base 15\nAnswer: e99bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -51, -33, -9, 21, 57, 99?\n\"Answer: 3*n**2 + 3*n - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20594923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 55*k**2 + 252*k + 83. Calculate x(-50).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*i + 114*i + 5*l = -25, 0 = -i - 3*l - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 2 - -9) + -3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/120 - 13*t**5\/60 + 17*t**4\/24 + 7*t**3\/6 - 2*t**2. Calculate the remainder when q(12) is divided by (-34)\/4*(-1 + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g - 1. Let a be (3 - 21\/9)*3. Let n(l) = -6*l + a*l**2 + 20*l + 3 - 11*l. Suppose -3*x + 24 = x. What is x*b(y) + 2*n(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b + 1. Let s(m) = -2*m**2 - 2*m - 5. Give -3*l(n) - s(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -61, -46, -29, -10?\n\"Answer: p**2 + 10*p - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + s**2 - 2*s**2)*(8 + 1 - 3)*(-2*s - 4*s + 4*s)*(-6*s**2 + 2*s**2 + 2*s**2 + (3*s - s + 0*s)*(0*s + s - 3*s)).\nAnswer: -72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y + 299 = -106*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*k - 3*h - 2, 4*h + 12 = -5*k. Let m(s) = -s**3 - s**2 - s + 2. Let v be m(0). Sort k, v, -12.\nAnswer: -12, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -4. Suppose -2*a + z = 0, -3*v - 2*a - 3 = -6*v. What is the first derivative of 2*n**v - 3 + n + 2*n**3 - n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*w + 2. Let m(p) = -p**3 + 3*p**2 + p - 1. Let s be m(3). Suppose -2*h + 8 = 0, -w*h + 16 = -s*j + 3*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(13\/5)))\/(z\/(z\/z**(-8\/11))))\/((z*z\/z**(-15)*z)\/(z\/(z\/z**1))) assuming z is positive.\nAnswer: z**(-1038\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8237915\/686067 + -83\/4209. Let g be (0 - 1)*((-18)\/(-6) - -9). Let h = v + g. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.16816 - 18741\nAnswer: -18786.16816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + -170842.82?\nAnswer: -170842.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-24)\/(-780)*10\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -45?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2553 and 28174057?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3715 is divided by 1236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-2 + (-4)\/(-2)). Suppose -y*x = g - 10, 4*x + g = -2*g + 24. Suppose -x*m = 2*m - 115. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w + 90*w = -11. Let s(c) = -17*c - 1. Calculate s(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3797 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11249536 and 132?\nAnswer: 371234688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 40. Let r = 61 + q. Solve 0 = -3*h - g - 1, 0 = 4*h + g + r*g + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1284 and -50\/107?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11796542137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 19*q - 6. Let w be t(-6). Solve w = -2*x - 5 + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2. Let r(s) be the first derivative of -7\/3*s**3 - 10 + 0*s + 0*s**2. What is r(w(c))?\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:15 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -578 (base 12) in base 15?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 105 = -60. Solve 3*l + m = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)\/((-37)\/(-3885)*-3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1)\/((-5)\/(-175)). Let n = -35 - k. Let q = -231 - -233. Solve 26 = 5*a + 4*i, 2*a - 3*a + q*i - 6 = n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0667596 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 4*k**2 - 3*k**2)*(-2*k**3 + 1 - 1) + 32*k + 17*k**5 - 32*k.\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3202141 + 1?\nAnswer: -3202140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-13 - (-3 - 4))) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 126. List the prime factors of (-6)\/4 - n\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-30)*-4 - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 16}. What is prob of picking 4 s?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 331?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 11*f**2 - 16*f + 2. Calculate s(12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and 117.\nAnswer: -7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 4\/317 (c) 1 (d) 4\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 77\/(-14) + 1\/(-2). Let l(v) = -v - 1. Let c be l(b). Suppose c + 0 = -a. Is -4 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36198104 divided by 9049526.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1031 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 85*i**3 - 980*i**2 - 25*i - 25. Let x(g) = -7*g**3 + 82*g**2 + 2*g + 2. Calculate 2*h(w) + 25*x(w).\nAnswer: -5*w**3 + 90*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64905600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q + 12. What is the derivative of q*t - 19*t + 14*t + 5*t**2 - 22 wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(7\/4) + 4773216. Let u = -1873492 + -8299728. Let f = t + u. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 872580928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**5 - 976*s**4 + s**3 - 6*s**2 - 258*s + 5.\nAnswer: -240*s**2 - 23424*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 508, 499?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -357 + 350. Let n(l) = 5*l + 1. Let z(p) = 9*p + 1. Let c(r) = r**3 - 16*r**2 + 8*r + 109. Let s be c(15). Calculate s*z(f) + x*n(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323 + 287. Let s = y + 36.1. Put 1, -0.6, s, -2 in increasing order.\nAnswer: -2, -0.6, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-39 - 1 - 1) + (-87 - -100).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10948027837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(-1) - 3784\/(-2365). Sort -4, z, 0.8, -16 in increasing order.\nAnswer: -16, -4, 0.8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 divided by 533?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7545 - 4.7545. What is the nearest to 16 in r, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/5143 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(132)*4)\/((sqrt(60) - (-3*sqrt(420))\/sqrt(7))\/sqrt(5)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-15))\/((-3)\/5). Let p = -3566 - -6929\/2. Let i = 102 + p. Which is the closest to q? (a) 5 (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2192 and 2071166.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 146.5, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -644, -631, -600, -545, -460, -339, -176, 35?\n\"Answer: l**3 + 3*l**2 - 3*l - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214753 is divided by 2082?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 1190 = -754. Calculate the greatest common factor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4287*n - 1355 + 5835 = 4447*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05696 - 1.05696. Suppose 6 = 3*x - 3. Which is the nearest to x? (a) 4 (b) -1\/8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153604 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8490 divided by -1\nAnswer: -8490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23224)\/20321*(-154)\/72.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8736.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15560 to the nearest one hundred.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.2 from 0.04679924.\nAnswer: -8.15320076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 5*i + 18. Let o = i + 26. Solve -3*u = 2*u - o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) + 2*sqrt(170)*3 - sqrt(170)))\/(3*sqrt(90)))**2.\nAnswer: 833\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10788483743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -0.16, 3\/14, 0.3, 1.4, -0.9, 0.5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -2)\/(2\/(-4)). Let h be (-1 + 1)\/(24 + -21). Suppose 18*c - 10 - 80 = h. Solve c*u + o = 3, -3*r = -5*u - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 4283767?\nAnswer: 29986369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 148 = -2*h, -6*k = -3*k - 12. Let p be (4 + h\/(-8))*8\/6. Let f be 6 - (-102)\/(-30) - p\/(-10). Solve 2*s - 2*b = -4*b - f, 4*b = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2695862, -5391725, -8087588, -10783451, -13479314?\n\"Answer: -2695863*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1695 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.36. Let i = -4.86 + g. What is the nearest to 2 in 2, i, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259934 is divided by 348.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9939 + 9917. Put a, 1, 53 in decreasing order.\nAnswer: 53, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**2 + 5*k - 5. Let v be 2*(2 - 27\/6). Let p(o) be the second derivative of o**4\/2 - 2*o**3\/3 + 2*o**2 - 16*o. What is v*p(r) - 4*j(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 20 + (-9)\/3. Let n(z) = 0 + w*z - 112*z - 7*z - 6. List the prime factors of n(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*w**5 - 370*w**4 - 710*w**3 + 220*w**2 + 755*w + 150 = 0. Calculate w.\nAnswer: -5, -3, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491 a factor of 132498518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.3411 (c) -9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/22 and 594\/682*8\/960?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/18*-21 + (-1876)\/168.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1341401851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10510253?\nAnswer: 13, 808481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1862, 3727, 5592, 7457?\n\"Answer: 1865*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*v = -0*v, y - 1 = -2*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1535915 - -225223.\nAnswer: -1310692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 878 - 243. Is 4*(-9 - -8) + g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*t + 31*t + 310*t**3 + 24*t.\nAnswer: 310*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/39849112 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20711, 25637, 30563, 35489, 40415?\n\"Answer: 4926*k + 15785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1186000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:43 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1295974930 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 3. Let r(w) be the second derivative of -w**5\/20 + 5*w**4\/12 + 5*w**2\/2 + 6*w. Give 5*k(c) + 3*r(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, 12214, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 44 = -3*q, -2*a - q - 4*q + 84 = 0. Put 4, a, 3 in decreasing order.\nAnswer: a, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1001113 - 23?\nAnswer: -1001136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3958*a**2*r + 2*a*r - 255*r + 23 with respect to a.\nAnswer: 7916*a*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11741 = 7*y + 11300. What is the third smallest value in y, 21, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 12. Let p be z(-9). Suppose -p*x - 2*f + 1 = -2, 4*x = 4*f + 24. Suppose -14 = -h + x. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = -p, 0 = 3*n - 7*n - 2*p + 8. Calculate the remainder when 13 is divided by 2*(2 - -10)*n\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -62?\nAnswer: 107\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944*g + 105995 = -303*g for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1344 + 90*k - 1344)*(5 + 4 - 4)*(-2*k + 3*k - 2*k) in the form w*k**2 + m + b*k and give w.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*d - 10 = -0*g, d + 2 = 0. Let f be (-24)\/(-3)*1 - 0. Let t = f + -5. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 76 = 5*f - k, -62 = -4*f - 2*k. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -142255, -142288, -142339, -142408, -142495, -142600, -142723?\n\"Answer: -9*k**2 - 6*k - 142240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 28 = 0. Suppose v*h - 10 = 2*h. Solve o = -4 + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71637 - 6406 = -7*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k*k**(3\/2)*k)\/(k**(3\/11)*k*k\/k**0))\/((k**(-1\/4))**(5\/17))**35 assuming k is positive.\nAnswer: k**(599\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18452*-76.\nAnswer: 1402352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -v - 6, -3*v - 4*h - 43 + 15 = 0. What is the tens digit of ((-10197)\/22)\/(6\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0270808043 + -0.02708. What is c rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let l(h) = -h**2 - 4*h - 4. Let u(y) = -y**2 - 3*y - 3. Let t(a) = -3*l(a) + 4*u(a). Calculate t(m(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*r = 9*r - 2734, -4*r = -t - 1371. Which is bigger: -1362 or t?\nAnswer: -1362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + 5. What is the remainder when p is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 2287*m**2 + 2720*m**2 + 2*m to i*m + b*m**2 + a and give b.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 9 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -12029.\nAnswer: -5\/12029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y - 174 = 85*y. Let i = y - 180. Let j(h) = h**3 + 5*h**2 - 6*h + 4. What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34587 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 3*h**2 - h**2 + 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3007\/10566 + 4\/587. Find the common denominator of l and (47 + 44 + 2\/1)*1\/(-22).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*m + 39*m - 279*m in the form v + a*m and give a.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 544 - -122?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 191*r - 980.\nAnswer: (r - 196)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8587 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2080 and 11540.\nAnswer: -24003200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113756543 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 3.6. Let d = x - -3.12. What is d rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 108, 3, 2, -875 in descending order.\nAnswer: 108, 11, 4, 3, 2, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 57. Suppose v*t = 5*o + 3331, 0 = -4*t + o - 1910 + 5261. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/((-16)\/(-9))*(0 - -9) and -46\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g + 146*g + 129*g.\nAnswer: 204*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6162500 rounded to the nearest ten thousand?\nAnswer: -6160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6389 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112618*z**3 - 7303*z**3 + 22475*z**3 - 254588*z**3.\nAnswer: -352034*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26221 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006000 (base 9) in base 12?\nAnswer: -435760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((166*1)\/(-1))\/(3 + 7). Are 0 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76634239?\nAnswer: 11, 19, 61, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422597070?\nAnswer: 2, 5, 17, 29, 241, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -19. Let t(s) = -s + 17. Let o be t(8). Let l be 92\/3 - d\/o. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1871.\nAnswer: -1870.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79237, 158450, 237663, 316876, 396089, 475302?\n\"Answer: 79213*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -346 + 0?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/4323 - -8660\/30261. Factor 2\/7*m**4 + 0 + 0*m + r*m**3 + 0*m**2.\nAnswer: 2*m**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2 - 17. Suppose 3*i = -g*d - 11, 2*d - 4 + 14 = -4*i. Let t = 1773 - 1773. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:21 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(8\/((-40)\/(-3))). Sort 3, -4\/7, s in increasing order.\nAnswer: s, -4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b + 3*k, 6 = -b + 2*b - 2*k. Let f(x) = -5 - 4*x + b*x**2 - x**2 - 3*x. Let q be f(8). Solve -q*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9690, -77510, -261588, -620052, -1211030, -2092650?\nAnswer: -3323040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 84914*o**2 + 54*o - 55. Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*t + 9, -2*m + 9 + 6 = t. Solve 2*p = 5*p - m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-21)\/28 + 878\/8. Suppose 4*h + 2*r - 100 = 0, -3*r = 13*h - 17*h + j. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x - 2. Calculate the remainder when 15 + -16 + (1 - -25) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13078270?\nAnswer: 2, 5, 17, 19, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 30110.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from zluuuuzzuzuuuu?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -2 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 2 - 4*j - j**2 + 5*j. Let c = 23 + -18. Let g be 2\/c + (-54)\/10. Calculate t(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 9:54 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/5*200\/1620*(-3)\/(-2).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) -426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 + 1203 - 402 - 397 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10*3\/(-4))\/((-680)\/(-170))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 55 - 350. Let j = -159 + n. Let c be (-5)\/(j\/(-12)) + (-3)\/(-5). Solve r + c = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 + 2*i - 11. Let l be f(6). Suppose 0 = -2*x + 3 + l. Suppose z = -5*s - 0*z + 102, 4*s = x*z + 76. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-15 - -6) + 75.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25072*c*f**3 + 3*c*f**2 - 789*c*f + f**5 + f**4 + 2*f**3 + 2*f**2 wrt f?\nAnswer: 150432*c + 60*f**2 + 24*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/19 + 1470*i\/19 + 8748\/19.\nAnswer: 2*(i + 6)*(i + 729)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2816*n + 248*n + 33139*n**5 - 31754*n**5 wrt n.\nAnswer: 27700*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/63 + 3 - 42\/441.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5732254998.\nAnswer: 2, 3, 12281, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 200?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223 + -2468\/11. Let y = 63\/22 + w. Let z = 2.1 + -2. Which is the closest to z? (a) 0.2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**2 + 10*b + 245. What is the hundreds digit of p(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -358 times 0.021\nAnswer: -7.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 364377820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2 - 2*y + 6*y + 5*y + 0*y. Give a(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3 + 84*r**2 + 717*r + 1716 = 0.\nAnswer: -13, -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 19*j - 3 = -23 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/9, -2742 in ascending order.\nAnswer: -2742, -2\/9, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31536, 126166, 283882, 504684?\nAnswer: 788572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9612 - -8d?\nAnswer: 96a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142855477435 + 56?\nAnswer: 142855477491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5286 + 2.4714. Put 12, -0.2, -1.6, r, 2 in ascending order.\nAnswer: -1.6, -0.2, 2, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -2 + 2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/(-2))\/(-1)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose -8*g = -4*g - 20. Let y = f + g. What is the greatest common factor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, u: 1, p: 1}. What is prob of sequence sk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 0.101.\nAnswer: 1.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3 - 66*w**2 + 123*w - 60 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2335332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 911*k**3\/3 + 129*k**2\/2 + 2*k + 461. What is the second derivative of q(c) wrt c?\nAnswer: 1822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 0.4, 0.02 in decreasing order.\nAnswer: 0.4, 0.02, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 512927447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let g be z(-5). Let d(h) be the second derivative of 0*h**2 + 0 - 1\/2*h**4 + 3*h - 1\/2*h**3 - 3\/20*h**g. Suppose d(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6 - 2. Let c(r) = -30*r**2 - r. Let z be c(l). What is the units digit of (-2)\/(8\/(-12)) - z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6972100 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30002 divided by -1\nAnswer: -30002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6613.461 + 698.\nAnswer: 7311.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -101. Is 5 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2722034 (base 10) in base 16?\nAnswer: -2988f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53.83316 centuries?\nAnswer: 538.3316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30937 and 0.8948.\nAnswer: -27682.4276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f**3 + 524 - 6*f**3 + 100*f**2 + 15*f**3 - 33*f + 35*f**2 - 495*f = 0 for f.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*h - 55 = 509*h + 5*w, 4*h + 80 = -4*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 10 = 16*f. Calculate the remainder when (-8 + 6)\/((2\/87)\/(-1)) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/((-1)\/(-39)). Suppose c = -2*c + 57. Suppose -d = -2*n + c. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g + 3*u - 113 = 0, 2*g + u = 45. Let n be g\/165 + 2\/10. Sort n, -4, 2.\nAnswer: -4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 25999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 2. Let d be y(-3). Suppose q - d*q + 7 = -4*k, -5 = -k. Find the third derivative of -6*u**5 - q*u - 2*u**2 + 9*u wrt u.\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 3*i + 3. Let n(o) = 2*o**3 + 5*o - 5. Determine -5*b(u) - 3*n(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z + 47. Let a be p(-8). What is the tens digit of a\/(-54) - 1010\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + k**2 + (-4*k**2 + 2*k**2 + k**2)*(-6 + 4 + 3) - 3*k**2 + 3*k**2 - 2*k**2 + 0*k**2 + 2*k**2 - k**2 - 2 - 3*k**2 - 1 + k**2.\nAnswer: -3*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 1, -1 in descending order.\nAnswer: 17, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023187 greater than or equal to 4023154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((0 - 2)\/10). Suppose -140 = -g*h - 0*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1799803*u**2\/3 + 10198883*u + 34\/3 = 0. What is u?\nAnswer: -2\/1799803, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + t + t + 57.\nAnswer: 2*t + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -466396, -466246, -465866, -465142, -463960, -462206?\n\"Answer: 19*a**3 + a**2 + 14*a - 466430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i**2 - 7*i + 6. Let v(x) = -37*x**2 + 21*x - 19. Let h(y) = 7*f(y) + 2*v(y). Let w = 0 - 2. Let p(q) = -3*q**2 + 2*q - 1. Give w*h(g) - 7*p(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 324 and -0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + g**2 + g**3 - 9*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let h(d) be the second derivative of -1168*d**3\/3 + d - 1228. Calculate h(v(q)).\nAnswer: -4672*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -73*n + 76. Let k = 266 - 273. Is w(k) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 42) + 84\/9 + (-77)\/33.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 2*q**2 + 4*q - 8. Calculate b(-5).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 16*w**2 + w - 5. Give a(-9).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -8. Solve 0*f = -5*y + 2*f - 5, -u*f - 4 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.7 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 5) to base 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11227 is divided by 3735.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-12))\/((-35)\/60*(-10)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + i - 2 - 2*i)*(-182*i + 1270*i + 273*i).\nAnswer: -1361*i**2 + 1361*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 83410602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 29*z - 24*z - 21, 4*z - 2*o = 6. Put -1, -4, -65, -3, z in descending order.\nAnswer: z, -1, -3, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41642563 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8595, 34314, 77181, 137196, 214359, 308670?\n\"Answer: 8574*c**2 - 3*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*a - k - 12, 5*a - 3*k = -15. Let h be (-14)\/(-6) + (-30)\/(-45). Put h, a, -13 in increasing order.\nAnswer: -13, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*(-80)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 3*y**5 - 3*y**4 + (-2*y**2 - 3*y**2 + 3*y**2)*(-2*y**3 + 0*y**3 + 4*y**3)*(-98 - 97 + 199).\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.9, 5, 343, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (sqrt(192)\/sqrt(4) - sqrt(48)))\/sqrt(4) + sqrt(12) - -2*sqrt(12)*5.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/19 and -46\/155.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290914 is divided by 43301?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 + 12*q**3 + 16*q**2 - 48*q = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32037, -64073, -96109, -128145, -160181?\n\"Answer: -32036*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -575 * 0.26\nAnswer: -149.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12263?\nAnswer: 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 98*r + 283. Determine n(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/22 + 9\/44. What is the closest to -0.1 in 2\/3, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 966\/59 + -1422\/649. Let k be (-4)\/22 - 145\/(-11). Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -437 + 440. Suppose 0*t + t = -i*g - 2, 5*t - 2*g = 7. Calculate the greatest common divisor of 23 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 16*m + 4*m)*(93 - 26 + 11).\nAnswer: 1014*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.11 - -0.078. Round r to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*h - 153 + 38 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112) + (sqrt(112) + 0)**2 - sqrt(112)) + -2 - sqrt(112)).\nAnswer: -12*sqrt(7) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/21*(-12)\/16 - -9. Let s(w) = -5*w. Let k be s(-1). Calculate the greatest common divisor of k and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/23, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 5*j)*(-50 - 51 - 30)*(2*j - 4*j - j) in the form z*j + h*j**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y - w + 15 = 0, -y + 4*w + 5 = 0. What is the least common multiple of 5 and y?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -129816, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaxaaaaaaaaaaxaaaa. Give prob of sequence xax.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -4, 1\/207, 0.27 in increasing order.\nAnswer: -4, -1.7, 1\/207, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 8091.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 350 = 4*k - 9*k, -k = -5*o + 70. Round k to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-4\/3))*t**9)\/(t**(-1))**3 assuming t is positive.\nAnswer: t**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, h: 1, z: 3}. Give prob of sequence oh.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*c**3 - 10 + 15\/2*c**2 + 0*c.\nAnswer: 5*(c - 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (0 + (sqrt(605) - sqrt(605)*2) - sqrt(605)) - sqrt(605) - (sqrt(605) + 1)*-1)**2 - (3 + 1*sqrt(605) - sqrt(605) - -5*sqrt(5)*-1*-3)**2.\nAnswer: -24*sqrt(5) + 4312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*j + 124*j + 135*j + 326 - 66 wrt j.\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyxyyyxyyyyyyy. What is prob of sequence xyyx?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 533794 + 450*z - 533794 - 3252*z**4 wrt z.\nAnswer: -39024*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*t - 70 - 248 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -45?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2998 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 10 + (17 - 24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + 27*k**2 + 8*k - 38. Let z be s(11). Is z < -676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2102 + -2010. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + (-4)\/10. Suppose i - 2 + v = 0. Suppose -i*d + 8 = 2*d. Put -5, 5, d in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, u: 1, j: 3, a: 5}. What is prob of picking 1 j, 1 y, and 1 u?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -29.6, -0.3, -11\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -15. Suppose 0 = 3*n - 3*i, 4*n - m = i + 2*i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.8. Let y = 17.1043 + -17.5043. Which is the nearest to q? (a) y (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -179. Let u = 155 - t. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239094 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*h**3 - 8130*h**2 + 8130*h**2.\nAnswer: -139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, 223 in ascending order.\nAnswer: -4, -3, 0, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 27*s = -70*s + 22*s - 5*a + 25, 8 - 39 = 5*s + 2*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346 and 199296.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-2885)\/(-1))*(-15)\/(-20). Suppose -5*h + s = 4*c, 557 = 2*c - c - 2*h. Let j = c + -296. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 29*d - 35 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*x - 2785 = 2589 + 6225 - 1274 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*n - 4*w, -n - w = -3*n + 22. Let b(j) = -j**3 - 8*j**2 - 10*j + 10. Let q be b(-8). Calculate the highest common divisor of q and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -625, -1459, -2629, -4135?\n\"Answer: -168*a**2 + 6*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**4\/4 + 5*j**3 + 18*j**2 - 108*j - 59. Suppose w(i) = 0. Calculate i.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 13. Let f = 3 - n. What is the tens digit of (17\/4)\/(f\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248.1 - 248.1001093. Round o to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7*o**5\/3 - 31*o**4 + 709*o**3\/3 - 959*o**2\/3 + 66*o + 152\/3 = 0.\nAnswer: -19, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -426.269?\nAnswer: -127.8807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -636, -638, -640?\n\"Answer: -2*h - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 27 = 2*s. Let n(r) be the first derivative of r**2\/2 + 15*r + 1. Let j be n(s). Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851646271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*n. Suppose -5*r - t + 9 = -47, n = -4*r - t + 45. Let v = 17 - r. Solve m = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -344142?\nAnswer: 344155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 46 = 3*o + b, 0 = -3*b + 12. Let d be ((-800)\/(-2))\/(13\/(54145\/o)). What is d rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (17 - -35) + -27 - (-1 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 w when three letters picked without replacement from weeowwwew?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-4) + (4 - (-40)\/(-16))*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-2))\/(5\/(2\/2))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1421413323134 - -1?\nAnswer: -1421413323133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/4*1\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -43.3\nAnswer: -129.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 1 + sqrt(1008))*-3*-6 - (sqrt(1008) + (sqrt(1008)*-2 - sqrt(1008)) + -5 - -2*(sqrt(1008) + 2*sqrt(1008) - sqrt(1008))))**2*3.\nAnswer: 56304*sqrt(7) + 3497331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 25. Let q(x) = -x**3 - 5*x**2 + 5*x + 6. Let y be q(-5). Let f be u(y). Suppose -f*s + 7*s = 12. Solve t - 16 = -3*j, -3*j + 4*j = 4*t - s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)\/(-3 + 1). Let j = -2.466 + 6.363. Let z = j - -0.103. What is the closest to 1\/4 in z, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/(-20)*935\/408 and (-15)\/(-25) + 206\/(-80).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 + 366?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 16*s**2 + 46*s - 319. Determine l(18).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:05 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -7 - 1) + -3 + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6918 - 2*t**3 + 9823 - 1818 - 3108.\nAnswer: -2*t**3 + 11815","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*u = -293, 0 = 4*c + u - 530 - 41. Calculate the remainder when c is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35761, -33750, -31739, -29728, -27717?\nAnswer: -25706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65446, -66515, -68296, -70789, -73994?\n\"Answer: -356*p**2 - p - 65089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = -13. What is the biggest value in 5, -1\/7, d, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39, -24, 6678 in ascending order.\nAnswer: -39, -24, 0, 6678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/4 + 137*p**3\/4 + 4887*p**2\/4 + 12931*p\/4 - 4489 = 0.\nAnswer: -67, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210221 - 12020?\nAnswer: -102000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 + 230.82. Let g = m + 2.044. What is g rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2040.2 - -2040. Sort l, -836, 3 in descending order.\nAnswer: 3, l, -836","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*o - 989*o - 23 + 490*o + 17 + 6.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - 18*(-4 + 0 - -8)*(-26)\/208?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 158, 284, 464, 716?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by ((-23270)\/(-30))\/13 - (-2)\/6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21032 + 3?\nAnswer: 21040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + -272. Which is the third smallest value? (a) f (b) 0 (c) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1801430 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 12132?\nAnswer: -12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46971998 and 1662?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(833)*-2 + -1 + 3*sqrt(833)*1 - (-1*sqrt(833)*-3 - (-4 + -2*sqrt(833)))))*-5)**2.\nAnswer: 7000*sqrt(17) + 333825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2 (c) -50 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 24.5. Sort 2\/5, -1, h, 2 in decreasing order.\nAnswer: 2, h, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 5*f + 3330*f**2 + f.\nAnswer: 3330*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0) + (-10)\/(-5). Suppose -2*r + 5 = -z. Let l be 1\/r*(-12)\/(-3). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3587, -14351, -32293, -57413, -89711, -129187?\n\"Answer: -3589*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14627 + 0*n - 14625 - n. Let q(i) = -i**3 - 10*i - 44. Let d(s) = 6*h(s) - q(s). Differentiate d(b) wrt b.\nAnswer: 3*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28*1\/((-1)\/(-2)). Suppose 41 + 35 = p. Let b = p - f. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -72*m**4\/7 + 311736*m**3\/7 - 337376282*m**2\/7 - 112484740*m\/7 - 9374450\/7 = 0.\nAnswer: -1\/6, 2165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + w - 190 = 0, 190*w = 4*o + 191*w - 152. Solve 40*u = o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000101001110010101 (base 2) to base 6\nAnswer: 54100501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-4 + 20 - 0)) + 3 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 65*p + 40. Let o(g) = -5*g - 3. Let v = -56 - -96. Let b(a) = v*o(a) + 3*j(a). Let y be b(-7). What is the greatest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - g + 123 = 713, 5*b + 4*g + 2949 = 0. What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5445 divided by 4118.\nAnswer: 5445\/4118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 4.07. Let y(v) = -v**3 - 18*v**2 + 22*v + 48. Let l be y(-18). Let u = l + 1045\/3. What is the closest to 1 in 2, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from {i: 2, c: 7, k: 4, t: 1, y: 1, w: 2}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 + 9*q - 7. Let l(o) = 2*o + 4. Let i be l(0). Suppose 5 = -i*c + 3*c. Find the common denominator of j(c) and -17\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/25*14590\/(-13131)*55*1\/14\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*s + 8, -s - 4*h + 4 = s. Let f(n) = -n**3 + 26*n**s - 46*n**2 + 29*n**2 - 7*n - 1. Determine f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than -5100?\nAnswer: -5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 7.3. Let y = 118.7618 + -126.761796. Let h = y + k. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -128*y - 2295. Give d(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037091145 to 6 dps.\nAnswer: 0.003709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -35\/3. Let b(w) be the first derivative of -w**2 + w + 1 + h*w**3. Factor b(a).\nAnswer: (a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(14))\/sqrt(2) + -4 + -1)**2.\nAnswer: 40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s - 2070 + 57510 = 0. Calculate the highest common factor of 165 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83a19 (base 12) to base 14\nAnswer: -46c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 39. Let n be 7\/(-9) + h\/(-18). What is the tens digit of n\/9 - (-7299)\/81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3*m**4\/4 + 5*m**3 + 3*m**2 - 24*m + 87. Find q, given that h(q) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let a(k) be the third derivative of -4\/3*k**4 + 0 + 15*k**2 - k + 0*k**3. Determine a(i(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -44 (b) -8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46144 and 736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.72153 litres in millilitres?\nAnswer: 83721.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3582 - 3536. Calculate the highest common divisor of 12 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 139*a - 86. Calculate c(-47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1529333735, 1529333730, 1529333721, 1529333708, 1529333691, 1529333670?\nAnswer: 1529333645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/7 (b) -9\/29 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41684584 divided by 2.\nAnswer: 20842292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96901, -193791, -290681, -387571?\n\"Answer: -96890*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -4 (c) -1.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37001?\nAnswer: 163, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*l = -8*u + 844*l + 72, -316 = 4*u - 14*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 51*f + 73*f - 64, 2*f = 5*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(1071\/462) - 37?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 1829219633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b**3*d - b**3*p**4 - 27*b**3 + 2*b**2*d + b*d + 799*d*p with respect to p.\nAnswer: -4*b**3*p**3 + 799*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 993\/(-9)*15\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:00 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 23 - -12 - 0\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-2\/3)))*u**(-6))\/(u\/(u\/(u*u\/(u**(-1)*u))))**10)**(2\/13) assuming u is positive.\nAnswer: u**(-154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-4*3\/(-48)). Suppose 3*p - i = 83. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2967, 2487, 1947, 1347, 687?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18740 + 18761 = 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyayyaaaayyaay. What is prob of picking 2 a?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(3*x + 8 - 8) + (-4 + 4 + x)*(3 - 2 - 2) to the form p*x + k and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/2 + 46*o**3 - 1755*o**2\/2 - 1458*o + 94770 = 0. Calculate o.\nAnswer: -9, 18, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f - 2*f)*(2*f**3 + 0*f + 0*f) + 4*f**3 + 3*f**3 + f**3 - f**4 as h*f + q + b*f**4 + r*f**2 + o*f**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 145 = 5*u, 5*p + 2*u - 130 = -0*p. Suppose -4*c - 4*q + 18 = -6*c, 0 = -c + 5*q - p. Sort -1, c, -4 in increasing order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/100 + (-51)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*u**2 + 9*u**5 - 48*u**2 - u**5 wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-702)\/3150 + -2 + 30\/14. Is g smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + g - 4 = -17, -10*t + 84*g - 79*g + 110 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 852592853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70906 take away 0.09?\nAnswer: -70906.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37410642 divided by 3.\nAnswer: 12470214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 25, 11, -23, -83, -175?\n\"Answer: -s**3 - s**2 + 10*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15048 is divided by 845?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.74? (a) 5 (b) 0.5 (c) -0.1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = -2*x, 3*s - 11 = 5*x + 13. Let u(a) be the first derivative of s + 0*a + 3\/2*a**2. Let i(r) = -r. Calculate i(u(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-95)\/(-38))\/(2\/(-4)). Let c(q) be the second derivative of q**4\/12 + q**3\/2 - 2*q**2 - 64*q. Calculate c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 59. Suppose 2*r - i*r = -35. Solve 5*g - r = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/44)\/(134\/(-737)) - 13\/(-4). Solve c*i - 21 + 8 = -b, -4*b - 53 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -63, -92, -133, -186, -251?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/20 - x**4\/3 - x**3\/3 - 3*x**2\/2 - 3*x. Let w be n(-4). Let c = -11 + 16. Solve -4 = -3*q + c, -w*q = 3*h - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16938658 divided by -38\nAnswer: 8469329\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 45 and 128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13907?\nAnswer: 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 + 65?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124\/705 + -2\/47. Let l = 6 - 3.4. Let s = l + 0.4. Sort s, d, 4 in increasing order.\nAnswer: d, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40\/3 - 446\/33. Suppose 2*i = -4*y, 0 = 2*i - 2*y + y. Is b less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 - 6*p + 6. Let n be m(-6). Let i = 6750 - 3204. Let z(f) = 4*f - 2*f - i + 3538. What is z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/63)*m)\/m**39)\/(m**(-5\/17)*m*m**11*m*m*m) assuming m is positive.\nAnswer: m**(-56482\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 640015331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 69, 59, 45, 27, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 3*w**2 - 5*w**2 + 3*w**2)*(17 - 17 + 9*w).\nAnswer: -9*w**4 + 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -4 (c) -1 (d) 11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8304 + -8300. Solve j*n + 4*s = 0, -34*s + 38*s + 18 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*q**2\/9 - 171874*q\/9 - 4430\/9 = 0.\nAnswer: -5\/194, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9858 and 551253?\nAnswer: 34177686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8294472103 and 1.7.\nAnswer: 8294472104.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50 and 59\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(o + 14*o + o)*(5*o - o - 3*o) - o**2 + 3*o + 2*o**2 - 3*o**2 to x*o + j*o**2 + i and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.026 + 0.026. What is the third smallest value in 2\/11, -2\/11, m, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 144 = -4*s, 4*s - 22 + 2 = 0. Suppose 93 + j = 2*h. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(4*sqrt(4))*-6)**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -69503 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/378 + (-715)\/(-77)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424725659 is divided by 1770.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*q + 14, 4*b - 5*q + 16 - 49 = 0. Sort 0, b, -3, 3 in ascending order.\nAnswer: -3, 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 13*p**7\/168 - p**6\/360 + p**5\/120 + p**4\/6 + 13*p**2. Let r(x) be the second derivative of y(x). Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36104.53m in nanometers?\nAnswer: 36104530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 691776 and 48.\nAnswer: 691776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 91378.\nAnswer: 91377.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = -2*b + x, -4*b - 37 = -x. Let w = -5 - b. What is the smallest value in -1, 0.4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153742161113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3. Suppose -23 = -5*t - 28. Give v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*r, 5*t - r = -21. Let x(f) = 4*f + 7. Let m(b) = b + 2. Let o(y) = t*x(y) + 11*m(y). What is o(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -3*i, 0 = -3*i + 1 - 4. Let m(u) be the third derivative of -u**4\/8 + 3*u**3\/2 + 410*u**2. Let l be m(f). Sort l, 0.2, 5.\nAnswer: 0.2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4999, 4969, 4933, 4903, 4891, 4909, 4969?\nAnswer: 5083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3 - 5471*k**2 + 1708*k.\nAnswer: 6*k - 10942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -85. Let x = 3 - o. Suppose -12*v + 101 = -x. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -3. Suppose 4*s = -y + 212. Suppose -4*n + s = n. What is the greatest common factor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157.8723ml to litres.\nAnswer: 0.1578723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2727 divided by 1091\nAnswer: -2727\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*v - 61 = -80, -4*v = 2*q - 14 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*s + 5 = -1, -3*o + 2*s = -18. Suppose 59 = -o*f + 287. Suppose -f = -6*d + 3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o - 3. Let i be (o - 218)\/(54\/(-36)). Let j = i + -76. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 19*b - 5. What is the units digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 4. Let r = 1 - -4. Let o(s) = -4 + s + s - r*s - 1. Determine 4*a(p) + 3*o(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 80, 0, 2, 1, -66 in decreasing order.\nAnswer: 80, 2, 1, 0, -2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 15*s**2 + 67*s - 552. Let l be x(17). Solve l*q - 18 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44\/17 + 227\/68. Which is the smallest value? (a) -14 (b) 1\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -3 - (5 - -7 - (14 - 3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-5) - 0 - (-9)\/15. Suppose -4*z - r = -4*h - 5*z, -20 = -5*z. Solve 5*c + 3*k + 11 = 27, h = -5*c + 4*k + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 256 - 2?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 12*s + 3. Suppose f + 4 = -4. Is i(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 334 = -104 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879, 953, 1013, 1053, 1067?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*n - 0*d + 23, -2*d - 21 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 211*f*p**3*t**2 - 13*f*p**2*t**2 + 11*f*p**2 + 558*p**3 wrt t.\nAnswer: 422*f*p**3*t - 26*f*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -10 + 3 + (-14)\/(-2). Let k(j) be the second derivative of 0*j**3 + 0*j**6 + 0*j**2 + 0*j**y + 0 + 17*j - 2\/21*j**7 + 4\/5*j**5. Factor k(z).\nAnswer: -4*z**3*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.27399735 rounded to 3 dps?\nAnswer: -4.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -31*b - 20. What is the hundreds digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/12 + j**4\/3 - j**2. What is the second derivative of d(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 0, 1.5, -353 in decreasing order.\nAnswer: 43, 1.5, 0, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -535 - -60?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))\/r*r)**(-5\/14)*r*r**(-1)*r\/(r\/(r*r**(1\/7)\/r)) assuming r is positive.\nAnswer: r**(-31\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003914216 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 17*k**2 - 15*k + 20. Let w be c(-16). Solve 2*y + 8 = -t, 0 = w*t - 3*y + 2*y + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 175996*r + 782. Let i(v) = -225*v - 1. Let o(w) = -2*b(w) - 1564*i(w). Let a(d) be the first derivative of 5*d**2\/2 - 2. What is o(a(c))?\nAnswer: -460*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4459, 1, 0, 5 in increasing order.\nAnswer: 0, 1, 5, 4459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000317010994 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13228)\/4544*2 + 1. Let r = 57\/71 - d. Find the common denominator of r and -1\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f - 5. Let m(w) = w**2 + 5*w - 2. Let j be (-32)\/(-3) - (-14)\/(-21). Let a = 6 - j. Let u be m(a). What is k(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90428a (base 13) to base 8.\nAnswer: 14620535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183099?\nAnswer: 3, 7, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097268631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001000 - 10?\nAnswer: -1000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -63*j + 1 + 199*j - 67*j - 62*j. Let f(t) = -3*t**2. Give f(w(o)).\nAnswer: -147*o**2 - 42*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1295.16748 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - 34?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b**2 - 21*b + 4. Determine p(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6741 and 13854681.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -300 (b) -29 (c) 0 (d) -1 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357486221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 555049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3220 and 953365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 589050 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*l - 13. Suppose 0 = 2*u - p - 8943 + 184, l*u - 21900 = 3*p. What is the derivative of -u*j - 19 + 4377*j + 21*j**3 wrt j?\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17826*o**2 + 6 + 35669*o**2 - 4 - 2 - 17831*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-4)\/(332\/(-1))). Let o = 747 - n. Let v = 4 + -12. Sort 2, 4, o, v in ascending order.\nAnswer: v, o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9022*m - 9408*m - 3474 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccuuulccuuulclllcjn. What is prob of picking 1 u, 1 j, and 2 c?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932 at most 2932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 12. Let t(p) = 6*p + 6. Calculate the common denominator of t(5) and (49\/3)\/(10\/u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-0.0679662\nAnswer: -3.0679662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 44 - 14 = 0. Is (s\/(-45))\/(2\/69594) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -56, 10, 76, 142?\n\"Answer: 66*v - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**2 + 5921268*y - 9868755.\nAnswer: -3*(y - 657917)*(3*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.055 + -5.545. Let j = 87 + -92.5. Let q = y - j. Which is the second biggest value? (a) -3 (b) -9 (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 28462053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29458, 29463, 29468, 29473, 29478, 29483?\nAnswer: 29488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 2 - 1 + 3 - 2. Let a be t(7). What is the highest common divisor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-3 - -3) + (-75)\/6). Let z(u) = 71 + 2*u + 0*u - 10. List the prime factors of z(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189 (base 12) to base 4.\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-42)\/(-78)))\/((-8)\/(-8))*3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*a - 344*a = 3*g - 7, 0 = -5*a + g + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*r + 287*r**3 - 282*r**3 + 2*r**4 + r**2 - 2 + 375*r as o*r**3 + l*r**4 + y*r**2 + g + k*r and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1847 = -15*n + 1967 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b - 13529 + 4273 = 0, 3*i - 2*b = 27683. Let k(f) = -9231 + i - 2*f. Let m(q) = 5*q**2. What is k(m(a))?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1764) - (sqrt(1764) + ((5*sqrt(1764) - sqrt(1764)) + sqrt(1764) - sqrt(1764))*-3)))\/((sqrt(1728) - -6*4*sqrt(1728))*-5).\nAnswer: -42*sqrt(3)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 9, l: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -12, 299, 0, 6\/37?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136\/11*f**2 - 16\/11*f**4 - 24\/11 - 2\/11*f**5 + 94\/11*f + 84\/11*f**3.\nAnswer: -2*(f - 1)**4*(f + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 17. Solve -3 = 2*d - 1, g*l - 3*d = 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 + 122*d**2 + 16*d**2.\nAnswer: 158*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4633789, -4633786, -4633783, -4633780, -4633777?\nAnswer: -4633774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14465, 57821, 130081, 231245, 361313?\n\"Answer: 14452*r**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 306 = 4*c, 8*k = 2*c + 4*k - 158. Let h(o) = 84*o + c*o - 162*o. Let a(n) = -2*n. Determine a(h(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 56, 82, 128, 200, 304?\n\"Answer: w**3 + w**2 + 2*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 10*v**2 - 8*v. Suppose -9 = -0*m - 3*m. Let w(d) = d**2 - d + 1 - m + d**3 + 2. Let k(t) = -r(t) + 6*w(t). What is a in k(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 161*i**2 + 55*i + 1981. Give b(80).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*q = 9 - 16, -2*j + 3*q = -31 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1074273319 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -895, -900, -905, -910, -915?\n\"Answer: -5*m - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 76*g + 5. Let s be a(4). Suppose -w = 2*w - s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547.85 centuries in millennia?\nAnswer: 654.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 12. Let h be i(0). Let j = 14 - h. Solve -s = 1 - 4, -4*u - j*s = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (230\/(-575))\/(-2 - (-20)\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f + 9*f**2 - 3*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 702478516 a multiple of 2810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/8 - 2*h**3\/3 - 45*h**2 + 26. Let w(v) be the second derivative of j(v). Calculate w(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(143) - (sqrt(143)*1 - sqrt(143)))*1 + -1*sqrt(143)*5))\/((-2*sqrt(1331)*2 - sqrt(1331))*-3).\nAnswer: 4*sqrt(13)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*r - 1607 = 462, 4*w - 4*r - 1652 = 0. Calculate the smallest common multiple of w and 166.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5357?\nAnswer: 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-20)*(-30430)\/537\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19851101 to the nearest integer?\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.4 and -1.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.4. Suppose -12 = k + 5*d + 7, 3*k + 3*d + 9 = 0. What is the closest to k in g, -0.1, 61?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - -1)\/((-2)\/(-1)). Suppose -2*s - u*q + 0*q = -12, -5*s = 4*q - 37. Let v(d) = d - 9. Let o be v(s). Sort 7, o, -2.\nAnswer: -2, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 + 3*o**2\/2 + 6*o - 7. Does 16 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4746, 4776, 4828, 4902, 4998, 5116?\n\"Answer: 11*x**2 - 3*x + 4738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10*11)\/((-26543)\/(-9652))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -7*j**5\/30 - 3*j**2 + 45. Let t(d) = 5*d**2 + 6. What is t(b(r))?\nAnswer: 980*r**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2504, 5163, 7852, 10583, 13368, 16219, 19148, 22167?\n\"Answer: 2*z**3 + 3*z**2 + 2636*z - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = a + 11. Let o(y) = -y + 1 - 5 + 0 + a. Calculate o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 - 8131594*s\/5.\nAnswer: -2*s*(s + 12197391)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 219?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 22*p**2 - 5175*p - 272. Calculate k(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is -87771 greater than -87769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6708356*r**2*x*z + 922365*r**2*x - r**2 + x wrt z.\nAnswer: 6708356*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 - 10*c**3 + 33*c**3 - 14*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkj when three letters picked without replacement from {t: 1, n: 1, j: 2, x: 1, k: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16275 divided by -775?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 6850 = 15*o - 28*o. Calculate the remainder when 520 is divided by o.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11515.00000036852 + -11515. Round k to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*q + 93 = 0, -q = v + v + 186. Let f be -165 + 0 + 2 + -4. Let d = v - f. What is the remainder when d is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*-6 - sqrt(35))\/(sqrt(5) - -1*sqrt(125)))**2.\nAnswer: 6727\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 942.37+25461190\nAnswer: 25462132.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.048 - -0.048. Which is the second biggest value? (a) v (b) -0.1 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3164 and -127\/126.\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632600 is divided by 90690.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07016848 times 54?\nAnswer: 3.78909792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b**2 - 5*b + 3. Let j(u) = -7*u**2 - 1. Let v(f) = 4*j(f) - z(f). What is v(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(1215\/(-162))\/(30\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 + 0 = -3*p, l + 3*p = -6. Solve 4*z = 3*z - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -0.07 (c) 0.2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 16*m + 13*m - 2087, y = -4*m + 399. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*b - 170, 0 = 2*b - b + 4*m - 70. Suppose y - 273 = -5*p, -4*p + 4*y + 150 + b = 0. Is 16560\/p + 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -0.1, -0.4, -2\/3, -11, -1 in decreasing order.\nAnswer: 22, -0.1, -0.4, -2\/3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/12*2 - -5. Let p(u) = 2*u**3 + 1. Let b be p(1). Suppose b*j - 7 = y, -j - 4 - 15 = 5*y. Sort f, y, 4, -11 in descending order.\nAnswer: 4, f, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(1372) - (sqrt(1372)*2)**2 - sqrt(140)\/((sqrt(160)\/sqrt(4))\/sqrt(8))) + -2)*1.\nAnswer: -5485 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -894796, -149 in decreasing order.\nAnswer: -5, -149, -894796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 44, 0 in decreasing order.\nAnswer: 44, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*k*l**5 - 3*k*l**2 - l**5 + 22*l**4 + 26*l**2 - 8*l wrt l.\nAnswer: 3300*k*l**2 - 60*l**2 + 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 101.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 4. Calculate z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, a: 1, u: 1, z: 2}. Give prob of sequence ba.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o*v**4 + 135*o*v**3 + 89*o*v**2 + 49890*o*v - 6*v**4 + 107*v**3 wrt v?\nAnswer: -96*o*v + 810*o - 144*v + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 3. Let r(p) = 5*p + 2. Let k(b) = -5*r(b) - 6*t(b). Let z be (60\/9)\/(3\/(-9)). Let g = z + 20. What is k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37198622?\nAnswer: 2, 1063, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6135569 is divided by 785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-48)\/9)*21. Let p = g + 188. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335 + 243. What is the units digit of r\/(-14) + -6 + (-5536)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141056.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26\/45 - 4\/45. Let p = 26 - 26.17. Let h = p - 2.83. What is the closest to -0.2 in u, 2\/3, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 311549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p - 12*p + 30*p - 3*p.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411151.7 milliseconds in hours?\nAnswer: 2.05865325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(208) + -1*sqrt(208) + -1))**2 + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 21. Let d = z + -3. Let u(o) = o - 6. Determine u(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 1218.5.\nAnswer: 19496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/2 - 29*r\/2 + 60 = 0.\nAnswer: 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46594905727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1911 and 89\/266294.\nAnswer: 72698262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246523887 to the power of 1\/2, to the nearest integer?\nAnswer: 15701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5887971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30293 is divided by 10085?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/103, -0.059, 17, 1\/5, 2\/113, 0, -5?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*3)\/sqrt(9).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 999, 4023, 9071, 16149, 25263, 36419, 49623, 64881?\nAnswer: 82199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)\/(7\/(-196)*-7). Let p be (-8)\/(16\/h) - -5. What is the closest to 1\/7 in 0.2, p, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:20 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 + 2*m - 3. List the prime factors of r(-7).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 135722, -2\/3, -12, -0.5?\nAnswer: 135722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5*d**2 - 2*d + 3*d**2 + 0)*(-9 + 9 + 4*d**2) in the form v*d**2 + n*d + k*d**3 + x*d**4 + g and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3724*a**3*g - a**2*g - 122*a*g - 34*a + 2*g - 2 wrt a?\nAnswer: 22344*a*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 80. Let u be -6 + 13 + -9 + 1 + 13. Let c be y(u). Solve -21 = -2*o + 5*z, -3*z + 3 + 0 = c*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/7, 0, -2\/3, -0.02, -119\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 306*w - 4598. What is p(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.5 (c) -3 (d) 0.088 (e) -0.3 (f) 854 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 15 = -10*o. Suppose 2*b = o*p - 243, 0*p = -p - 5*b + 27. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -67, 65 in increasing order.\nAnswer: -67, -26, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 145784.725 to the nearest one hundred.\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.95 and -3.\nAnswer: -3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -714438*u**2 - 2857751*u + 8. Determine o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3015, -12228, -27583, -49080?\n\"Answer: -3071*m**2 + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -45. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2293 + -2260. What is the closest to v in -6, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273*b - 322 with respect to b.\nAnswer: -273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 16*a. Let f be n(-16). Suppose -5*p + 258 + 77 = f. Suppose p = 2*c + 3*z - 45, 0 = -2*z. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 8, z: 1, t: 3, l: 1, h: 3}. Give prob of sequence hnt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/4 + 49*u**2\/4 + 13*u - 25 = 0.\nAnswer: -2, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701493748 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-42)*(45\/(-6))\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a05 - 4?\nAnswer: 20a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a7be (base 16) to base 6.\nAnswer: 21321250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69479.9 * -1.\nAnswer: 69479.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.019 and 0.28?\nAnswer: 0.00532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25117.06 - 1352?\nAnswer: 23765.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:15 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120214 + 120214 + 954*k.\nAnswer: 954*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*s - 22, -c + 1 = s + 8. What is the closest to 0.2 in c, 0.1, -0.2, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:08 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, k: 3}. Give prob of picking 1 k and 1 z.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 - 2)*(3*y - 5*y + 0*y) + 49*y - 94*y + 95*y)*(-5*y**3 - 2*y**3 + 3*y**3) in the form d*y**4 + a*y**3 + z + i*y**2 + t*y and give d.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -292*y + 3. Let n(d) = -584*d + 6. Let s(b) = 13*f(b) - 6*n(b). Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/11)\/f*f*f**18*(f**(1\/5))**(-20) assuming f is positive.\nAnswer: f**(148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*i = 2, 0 - 2 = 4*d - 2*i. Sort 20, d, -1, -2 in increasing order.\nAnswer: -2, -1, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -0.1, 3\/2, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b1 + -9?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/111385187 or 1?\nAnswer: 6\/111385187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 199059974, 398119947, 597179920?\n\"Answer: 199059973*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 84. Which is the closest to t? (a) 1\/2 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 790*a**4 + 4657*a - 4657*a - a**4 - 2*a**3 + 2*a**3 + (4*a**3 - 2*a**3 - a**3)*(2 - 2 - 2*a) - a - a**4 + a + 2*a**3 + a**4 - 2*a**3.\nAnswer: 787*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 8*h**2 + 8*h + 11. Suppose 2*p + 5*n = 43, 8*n - 3*n - 7 = 2*p. Let r be k(p). Sort r, -0.1, 0.05, 5\/4.\nAnswer: -0.1, 0.05, 5\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992946?\nAnswer: 2, 3, 73, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/88 - 37\/88. Let v = 6 + -2. Let p be v\/(-20) + (-1)\/(-55). What is the nearest to 0 in p, -3, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*u - 4, -5*x - 8*u + 11*u = 8. Let w = 0.05 - -3.95. Put x, w, 0.1, 5 in descending order.\nAnswer: 5, w, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -268, -250, -222, -184, -136, -78?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v + 4*o = 0, 0 = 3*v - 4*o. Suppose -2*c + 10 - 2 = 0. Let y = 3 - c. Put v, 4, y in increasing order.\nAnswer: y, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -18 (b) 0.4 (c) 1\/5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/85917 and 89\/17082?\nAnswer: 37631646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 3, j: 1, c: 4, b: 3, u: 2}. Give prob of picking 1 j, 1 v, and 2 c.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 - 30 + 403*m - 32 - 34 to the form j*m + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose m*o = 2*w - 0*w + 2, 4 = 3*o - 2*w. What are the prime factors of 92\/10 - o\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x - 3. Let z(b) be the second derivative of b**5\/10 - 3*b**3\/2 + 5*b**2\/2 - 217*b. Give 10*h(u) + 6*z(u).\nAnswer: 2*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.98. Let y = 381 + -385. Which is the third biggest value? (a) y (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167396 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48335 is divided by 138?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2 - 21\/(-10)). Let m = d + 22. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 2955 = g, -2*y - 2*g + 2956 = 0. Suppose -f = -8*f + y. Suppose -q + f = s, s + 0*q - 4*q = 216. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 8*g + 2. Let n be h(-8). Let z be 8\/n*(-1)\/(-2). Solve 4*o = 3*r - 7, 1 = -3*o - z*r - 0*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 4*g**2 - 144*g - 8238. Determine o(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4718 or 4443?\nAnswer: 4443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 12*d = -7. What is the nearest to d in -6\/11, 0.6, -8, 2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 163. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(105\/6)\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q. Let d be y(4). Let j = 7 + d. Let b be (22\/8 + -1)*4. Solve -3*r = -w - b, r = j*r - 4*w - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3674*j - 3673*j - 3, -y + j = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + -4 + (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - (-64)\/(-10))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 466139\nAnswer: -11\/466139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2140*u**3 + 32*u**2 + 4549128 wrt u?\nAnswer: -6420*u**2 + 64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -10. Let o = c - -22. Let k = o + 33. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 3. Suppose 5*m + 2*q - q = -21, 3*m + 11 = q. Let u(z) be the first derivative of 5*z**2\/2 - 7*z + 2664. Calculate m*u(i) - 9*h(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + n = z - 9, -n = -4*z + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**8\/1400 + m**7\/2100 - m**3\/2 - 3*m. Let v(z) be the second derivative of o(z). Suppose v(y) = 0. Calculate y.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 186\/11 (c) 2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-7))\/(-19 - 1080\/(-56)). What is the closest to 2 in 5, -1\/6, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/4 - 63*r**3\/4 - 507*r**2\/4 + 4527*r\/4 + 4050 = 0.\nAnswer: -9, -3, 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and ((-8)\/(-3))\/((-18)\/(-216))?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39288809359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447635183?\nAnswer: 59, 139, 54583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 802858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303 - -11?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(2\/3). Suppose 0 = -d - 1 - c. Let g(m) = m**3 + m - 1. Let r be g(1). Put 4, d, r in descending order.\nAnswer: 4, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a8c9 (base 15) in base 2?\nAnswer: 101101110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203 - 242144*c**3 + 960*c**4 + 242144*c**3 wrt c.\nAnswer: 3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*5\/200*275\/((-22275)\/1458).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6*18\/8)\/(1620\/1350).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + b = -19, 2*s - 4*b = -2 + 6. Suppose -s*l - 11 = -3. Calculate the common denominator of ((-295)\/(-14))\/(-5) - l and -97\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -954 divided by 318\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725919 smaller than 6725913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48530609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 97 - 63*x**3 + 20*x**2 - 22*x**2 + 72*x**3 to the form s*x + v*x**3 + b + o*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 83, 248, 531, 962, 1571?\n\"Answer: 5*g**3 + 14*g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-210)*(5 + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1262 + -1090. What is the highest common divisor of v and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 153*q - 14. Let w be f(-2). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237819821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -112. Which is the closest to -2? (a) -0.1 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2576661201 to the nearest integer?\nAnswer: 50761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*m**2 - 4 + (m**2 + 2*m - 2*m)*(-5 + 0 + 2))*(2076*m - 11010*m - 823*m - 5669*m) to t*m + a*m**3 + c*m**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9132 times 1436\nAnswer: -13113552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -z + 4, 4*z + 0 - 1 = -3*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122559, -122561, -122563, -122565, -122567?\nAnswer: -122569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15984175?\nAnswer: 5, 43, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -461.31 rounded to the nearest integer?\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 2. Let i(z) = -z + 1. Let r(x) = 8*i(x) - 5*k(x). List the prime factors of r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729)*2 + sqrt(729) - sqrt(729))\/(2*sqrt(300) + sqrt(3)) + 0.\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(3*6\/(-1125)). What is g rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 330.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-296)*(-1)\/(-2). Let u = -34654\/15 - -1282831\/555. Let d = u + b. Calculate the common denominator of 137\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 92*y + 563. Let q(b) = 4*b - 2. Let z(c) = 3*q(c) - x(c). Calculate z(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 2*j - 1. Let n be a(6). Let o = n - 2. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 55, -8, -1\/4, -0.3 in descending order.\nAnswer: 55, -1\/4, -0.3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + v + 4*v. Let m(t) = 2*t**3 - 169*t - 68. Let j be m(-9). Calculate q(j).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 368*p**3 + 15*p**2 - 383*p**3.\nAnswer: -15*p**3 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4 + (0 + 4 + 0)*(-3 + 7 - 1) + 3 - 1 + 5)*(-2*w + 3 - 5 + 11*w).\nAnswer: 189*w - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 1 - 2*m - 3*m - m + 4*m**2. Let r be q(-1). Solve 4*u = r*g + u + 28, -3*u = -2*g - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*h + 1100, 4*i + 825 = 3*h + i. Let u be ((-1)\/2)\/(2\/(-44)). What is the greatest common divisor of h and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.3? (a) -2 (b) 87 (c) -1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5981766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + a = 17*v + 17, -4*v = -2*a + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. Which is the second biggest value? (a) q (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -c - 3*i, 19*c = 20*c - 4*i - 22. Solve 5*x + 122 = -3*a + 132, x - c = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*g**2 + 2*g**2 + 141*g**2 + 7*g**3 - 8*g**3 in the form p*g**2 + h + r*g**3 + a*g and give p.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -266, -265, -264, -263?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*s**2 + 1044 - 1044)*(-2 - s + 2 + (1 - 1 - 1 - 2 + 1 - 2 + (-1 + 0 + 4)*(2 - 3 + 3))*(-2*s - s + 5*s)).\nAnswer: 150*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18612604187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2. Let z(j) = -2*j**2 - 3*j + 3. Let u(v) = -v**2 - v + 1. Let b(q) = 6*u(q) - 2*z(q). Determine g(b(d)).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 62*y**2. Let j(n) = 8*n**2 + 8*n - 99. Let x(r) = -8*r**2 - 6*r + 73. Let t(h) = 3*j(h) + 4*x(h). What is t(g(u))?\nAnswer: -30752*u**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from kfffwnwfk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 155. Suppose -a = -3*g + m, -2*g + 3*g - 5*a + 8 = 0. Solve 6*l = -g*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190*-0.26891.\nAnswer: -51.0929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.9 + -84. What is the biggest value in w, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220630765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2. Let m = -9 - -11. Suppose 4*a = m*r + 16, 2*r = -0*a - a + 14. Let x(d) = 0*d**2 + a*d**2 + 2*d**2 - 10*d**2. What is l(x(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (565\/(-315) - (-2)\/9 - -3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r + 2*g, 2*r - 5 = g + 4. Let q be 2*1\/2*(-3 + r). Suppose 19*x - 7*x - 36 = q. Solve x*w - 2*u + 16 - 3 = 0, 5*u = -w + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271497 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3947245 - 93.2.\nAnswer: -3947338.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.4274 to 1 decimal place.\nAnswer: -113.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 525.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264155059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44002168 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 + 27 = -4*q + 31*q - 119 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-9 + (-13 - -4 - -16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/51 - (-8)\/(-68). Suppose l*t - 989 = -s, 0*s = t + s - 496. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 less than 9103636.5?\nAnswer: 9103509.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 8) + (-7 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057295787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102881, -205459, -308035, -410609, -513181, -615751, -718319?\nAnswer: -820885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2464)\/33*(-147)\/343?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 195*r + 1010. Determine l(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b + 17. Calculate the remainder when 50 is divided by v(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 34, 43, 56?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 times 3669\nAnswer: 22.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -482350 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 - 17*h + 2. Let x(k) = -4*k**2 + 9*k - 1. Calculate 3*j(m) + 5*x(m).\nAnswer: -2*m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (76 - 64) + 26 + 0\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.102100859\nAnswer: -3.102100859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -552*o**2. Let f(z) = -5*z**2. Determine f(p(h)).\nAnswer: -1523520*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.46 * 0.8.\nAnswer: -7.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 7*d + 5*d - 18*d.\nAnswer: -d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 7 (b) -8 (c) -10 (d) -144\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10 + (-47863)\/5. List the prime factors of (-56)\/42 + w\/(-6).\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 4}. What is prob of sequence vw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 642421 (base 9) to base 10\nAnswer: 382339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-82)\/(-6))\/(1\/3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdq when three letters picked without replacement from hjjjjdjhjqhdeq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 175*a**2. Let z(l) = -l**2 + 12*l - 6. Let m(j) = j**2 - 14*j + 7. Let v(x) = -6*m(x) - 7*z(x). Give v(s(h)).\nAnswer: 30625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/5 + 1258*n\/5 - 252 = 0. What is n?\nAnswer: -630, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 119. Let p be k(-21). What is the greatest common factor of 42 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 255.\nAnswer: -64\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5005*s + 90096. Give m(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -321, 60, -39, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*n**3 + 46532*n + 46524*n - 93056*n.\nAnswer: -182*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55589 is divided by 75?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + -3 - (3 + sqrt(20)\/sqrt(4) + sqrt(5)).\nAnswer: -8 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/1274)\/((3\/4)\/((-1)\/1))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 1:54 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v. Suppose 3*c = 4*y + 4, -14 = c - 4*c - y. What is the second derivative of q + v*q + q + 2*q**c wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - ((13 + -20 - -22) + -107).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 43 - 3 = 0. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*m + 3*r - 40, -4*m - 4*r = -160. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 17*l + 20*l - 31*l**2.\nAnswer: -43*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, -68, -2, 507, 88.\nAnswer: -68, -2, 2\/5, 5, 88, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/(-2)*-3*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 645.7 - 673. Let v = s - -88.7. Round v to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from nznznnnnzzznnnzz.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y - 78. Let v be w(9). Suppose 73 = -v*a + 1498. Suppose -850 = -5*d + 5*h + a, 0 = -2*d - h + 533. Is 38 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28448 and 448?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 990485291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 97*m**2 + 16*m. Let x(v) = 48*v**2 + 8*v. Let p = -125 - -114. Let s(c) = p*x(c) + 6*f(c). What is the second derivative of s(l) wrt l?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -189*z**2. Let g(c) be the second derivative of c**4\/12 - 331*c. Give f(g(v)).\nAnswer: -189*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050*l**3 + 12647*l**3 + 1442*l**3.\nAnswer: 15139*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*m**2 + 58*m**2 + 83*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 13*p**2 + 8 - 7179*p**3 + 1072*p**3.\nAnswer: -6107*p**3 - p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 19.9. Let c = 7.2 - 1.2. Sort 3, u, c, 1\/3 in ascending order.\nAnswer: u, 1\/3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 4\/(-32). Let w = 220 + -1514\/7. Let q = 4 - w. Which is the third smallest value? (a) v (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/24 and 35\/678.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6663107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from fdepdlfffjdd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-14) + 429\/77. Suppose -f*n + 56 - 6 = 0. Solve 0 + n = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + -1.600788. Round c to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1 + (-4 + 3 - 31)*(0 + 1 - 3))*(-5*q + 0*q + 3*q) to the form x*q + r and give x.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395188 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: What is the hundred thousands digit of 21825074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1548.53 and 1?\nAnswer: 1548.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 9*w**2 - 9*w - 7. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3469855134*h + 12*h**2 + 1734927567*h + 1734927567*h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + 18*h**3 + 2 - 17*h**3 - 13*h - 5. Calculate the remainder when g(-10) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**3\/3 - 6. Let p(v) = v - 1. Let n(t) = 10*t - 5. Let w(z) = n(z) - 5*p(z). What is w(s(j))?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 + 631*g**3\/4 - 66465*g**2\/4 + 2348325*g\/4 - 1157625\/4.\nAnswer: -(g - 105)**3*(2*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4246477, 4246484, 4246501, 4246534, 4246589, 4246672?\n\"Answer: i**3 - i**2 + 3*i + 4246474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/33691 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1, 4*h = b + 3 - 4. Solve -7*i + 4*i - 9 = h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/72 and 33\/49?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10992 + -10860. Let d(p) = p**3 + 8*p**2 + 7*p + 4. Calculate the remainder when z is divided by d(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 17178 = 27933. Let o = v + -2444. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgvoutuvro. What is prob of sequence rv?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = -0. Suppose 4*l - 58 = -u*p, 5*l - 32 - 30 = -p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9912 divided by 3.\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 1. Let a(f) = 59*f**2 - 6. Give -a(c) + 6*h(c).\nAnswer: -71*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 4. Let o be i(11). Does 43 divide (-3)\/o + 3600\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*a - a + 8, -p = 5*a + 10. Suppose p = -3*d - 71 - 4. Let b = d - -46. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905 = -5*h + 1885. Sort h, -37, 1, 5 in descending order.\nAnswer: 5, 1, h, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.07 times -0.5?\nAnswer: -11.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*q - 4 = 0, 2*q = -5*p - 0*q - 20. Suppose 102*d + 253*d - 1420 = 0. Sort -24, 5, p, d.\nAnswer: -24, p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4 - 3 - 22853*i + 22346*i - 1. Let d(c) = 3*c**2. What is t(d(r))?\nAnswer: -1521*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*21*(-8)\/(-12). Is (-786)\/(-42) + (-4)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + -149 - ((-4 - -1) + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.4 (b) 4 (c) 0.2 (d) 342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220333 (base 5) to base 11.\nAnswer: 16498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away 5561?\nAnswer: -5560.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-8))\/(2 - (-22)\/(-8)). Let z be (-4)\/5*(-25)\/(-10). Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96 and 4.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5488\/12 + (-2)\/3*-1. Suppose p*y = 453*y. Solve -3*f = -3 - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1)**2 - sqrt(288).\nAnswer: -36*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 13*u**2 - 262*u + 2031. What is x(8)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 - 5*c + 3. Let w be v(3). Suppose -w = -3*o - 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = -a, -3*a + 2*j + j - 18 = 0. Are a and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 426*y - 9661. Determine p(191).\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 572839927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9711 and 10809630.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 39\/20*f**5 + 0*f - 1\/6*f**3 + 0 - 1\/24*f**4 - 127*f**2. Find the second derivative of s(x) wrt x.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**4 - 7*i - 1\/6*i**5 + 0 + 0*i**3 + 10*i**2. Let t(o) = 8*o. What is c(t(d))?\nAnswer: -640*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.24. Let f = 1 - 6. Let i = 2.1 + -1.7. What is the third biggest value in i, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 0.0135627.\nAnswer: 3.0135627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34bea38 + -2?\nAnswer: -34bea3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/73907 - 147820\/221721. What is the nearest to -31 in s, -0.1, 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*n = 91*n + 86*n + 4*r - 140, 0 = n - 3*r - 25 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.85 * 2.7\nAnswer: 2.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37045 and 911?\nAnswer: 33747995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-80) - 88\/(-10). Let y(m) = -m**3 + 9*m**2 - 2. Let h be y(o). Let t(l) = l + 2. Determine t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p**(-4)\/p)\/p)\/(((p\/p**(1\/4))\/p)\/p))**(9\/2))**(3\/28) assuming p is positive.\nAnswer: p**(-297\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s + 4*s + 66 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1034.887 + -31036.\nAnswer: -30001.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from 1.66421.\nAnswer: 1.43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -36. Suppose 3*y - w = 2. Suppose y = d - 3. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3889 - -3937.14. Let d = m - 0.14. Let v = -47.9999958 + d. Round v to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-16))\/(5\/((-20)\/(-18))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 78 = 3*r, 2*r = v - 3*r + 29 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 0.1 (c) 1\/7 (d) 6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-5)\/(-20))\/(-6)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24854*h**2 - 539*h - 1 + 1 + 539*h.\nAnswer: 24854*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 3\/46, -3?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 91*t**2 - 2897*t - 263600. What is o(-91)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4234\/7 or 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*k + 239 + 1979 = 446 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4343 - 4354 - (7 + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-8)\/6 - 135\/(-81). Solve 0*z + 11 = -2*r + z, -r - 3*z = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-9\/5))\/(o**(4\/15)*o)*o*o\/(o**(5\/8)\/o)*o**(-1)\/o assuming o is positive.\nAnswer: o**(349\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-1 - 217)) + (34 - 30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -3, 150 in increasing order.\nAnswer: -3, 60, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006872926484 to 6 dps.\nAnswer: -0.006873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -389911881*z + 125827270 wrt z.\nAnswer: -389911881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14399 + 14433. What is the remainder when 134 is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.594 + 38.794. What is the biggest value in s, -2\/7, 0, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.659392 + 12.66. Round g to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13 - 2*p**3 - 12*p**2 + p**3 + 11*p + 2*p**3. Let c = -8832 - -8843. What is f(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114*276.\nAnswer: -31464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(567) - sqrt(567)) + sqrt(28)*-3)*1)**2 + -2 + 1.\nAnswer: 12*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 + -102. List the prime factors of q.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*b**3 + 380*b**2 - 472*b + 28.\nAnswer: 4*(b - 1)*(b + 7)*(16*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2368\/(-256)*8\/(-2). Solve -18*o - q = 89 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-2)))\/j**6)**(3\/43)*(((j*j**(-1))\/j)\/(j\/(j*j\/j**(1\/8)*j)))\/(j**4*j*j**(-5)) assuming j is positive.\nAnswer: j**(229\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331301 + -1?\nAnswer: -2331302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*p - 8. Is p >= 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3800331, 3800345, 3800359, 3800373?\nAnswer: 3800387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**2 + 74204*i + 5270112.\nAnswer: 2*(i + 72)*(7*i + 36598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1391634 and -1391634 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.4 = -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4779 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -21*g + 74. Let p(r) = -21*r + 74. Let w(y) = -6*p(y) + 5*u(y). Let d be w(3). Which is smaller: d or -45\/4?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1198309238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5279503604.\nAnswer: 2, 2393, 551557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + f**4 - 2*f**3 + 0*f**3 + (-2*f**2 + 3*f**2 + f**2)*(-10 + 3*f**2 + 10) to r*f + y*f**2 + g*f**4 + z*f**3 + i and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 6565?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -69, -412, -1153, -2430?\n\"Answer: -23*o**3 + 8*o**2 + 54*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - -11. Is 2904 + 1 - 82\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33094811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)**(-35\/6))**1)**(-3\/2) assuming h is positive.\nAnswer: h**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 + -205. What is the remainder when m is divided by ((-16)\/(-14) - 1) + (-5792)\/(-224)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -4, -1\/6, -236, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 4, e: 2, k: 1, l: 2, z: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 10) in base 9?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let p(t) = -3*t**2 + 925*t + 59. What is p(l(v))?\nAnswer: -3*v**2 + 925*v + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n**2 - 2. Suppose 3*i - 7 = -5*o + 3, -3*i = 4*o - 8. Let x be p(i). Let b(h) = -4*h - 1. Give b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = -4. Let v = 8 - b. Suppose -v = 5*r - 65. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 12 + 8. Suppose 107 = -s*f + 2. Let x = f + 34. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 0.3. Let h(d) = d - 10. Let q be h(8). Let j = -2678 - -2683. Which is the nearest to q? (a) g (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 11.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -3 (c) 6 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39974)\/13409)\/(10\/265).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*p - t, -2*p + 4 + 17 = -t. Suppose 0 = 5*j + j - p. Let q = 0.1 - 0.6. What is the smallest value in j, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, -2, -2898, 2\/13, -19, -4\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44621.1 millimeters to nanometers.\nAnswer: 44621100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -2*(sqrt(76) + 3*sqrt(76)) + sqrt(76))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 - v - 5. Let r(i) = -i + 2. Let k be r(-3). Is a(k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13655174?\nAnswer: 2, 13, 525199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 138\/24 - 66\/11. Let t be -1 - ((-57)\/(-51) + -2). Which is the second biggest value? (a) 0.5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 55 = 3. Suppose -4*a = 5*u + 35, u + 3*a = 4*a + 2. Let p = u - f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m - 5. Let o(d) = 5*d - 2. Determine -4*c(t) + 9*o(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/1365)\/((-4)\/10). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 1932.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20371 + -20371.199832. Let l = -0.2 - g. What is l rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 624054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.01848 rounded to 0 decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939100881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(76) + sqrt(76) + sqrt(76)*-1*2)\/(sqrt(484)*-1 + sqrt(484) - sqrt(484)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.78 rounded to one dp?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -2\/3 (c) 0.3 (d) 0 (e) 151\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 394*y**2 - 2*y - 5. Let k(u) = 1180*u**2 - 6*u - 14. Determine 4*k(q) - 11*x(q).\nAnswer: 386*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705647?\nAnswer: 353, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21160\/(-552)*2\/(-10))\/(3\/(-9))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-304)\/(-12). Let h be (r\/(-20))\/(2\/(-8)). Let f(m) = -m**2 + 8*m - 7. What is f(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c**3 + 1 + c + 0*c**3 - 4. Let o be g(0). Let p be 0\/(2\/(o - -4)). Solve 3*d - 3 = -p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13944879, 13944875, 13944869, 13944861, 13944851?\n\"Answer: -m**2 - m + 13944881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -35338+6\nAnswer: -35332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -11. Let g(r) = 5*r**2 - v*r**2 + 17*r**2. Let i(l) = 203*l. Let s(o) = -27*o. Let a(z) = -4*i(z) - 30*s(z). Determine g(a(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.02 - 1.3. Let j = -0.18 - z. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32150 and 500?\nAnswer: 321500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3\/4. Sort -4, l, -2 in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7076 + 7076 + 184*o**3 + (o - 1 + 1)*(4*o**2 - 18*o + 18*o) - 3*o**3 + 3*o**2 - 3*o**2.\nAnswer: 185*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/120 + 140\/210.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 42. Suppose 5*t - b = -4. Suppose 2*o - 481 = -5*h, 3*h + t*o - 200 - 91 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5\/2 - 315*l**4 - 3873*l**3\/2 - 1620*l**2 = 0.\nAnswer: -5, -1, 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-10 - -1) + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -32. Suppose -69 = -5*w + q*w. Let s(f) = 2*f**2 - 6*f + 7. Let h be s(-6). What is the greatest common divisor of w and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 26892*l + 90397458.\nAnswer: 2*(l + 6723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -36*w**3 + w**2\/2 + w - 11. Find the second derivative of z(c) wrt c.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 2*w - 432 = -445, 4*w = -2*o + 58. Factor 3\/5*u**o + 3*u + 30 - 24\/5*u**2.\nAnswer: 3*(u - 5)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*k**2 + 2 + (0*k**2 + k**2 + 0*k**2)*(4 - 3 + 0) + 3*k + 2*k**2 - 3*k + (-1 + 3 - 10)*(-k**2 - 5 + 5) in the form w + c*k + s*k**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -5, -2 in decreasing order.\nAnswer: 11, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 176. What is the closest to 0 in 3\/8, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 295 + 1612?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7. Let d(p) = p. Determine d(s(b)).\nAnswer: b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -13.9\nAnswer: 111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u + m, 0 = -4*u - 4*m - 6 + 14. Suppose 50 = u*n - 5. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (78\/2 - 1) + -3. Let c be (j\/(-14))\/((-2)\/4). Suppose 0*r = -4*q - 2*r - 2, 4*q - c*r = 33. Solve 0 = -q*a - 0*a + 3*b, 0 = 4*b - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + l + 561, -t - 2*l + 53 = -68. Suppose 4*j = u + 437, u = 5*j - 433 - t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 995.00001402 - 995. What is w rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -45. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27687 + -4986.\nAnswer: 22701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20757 divided by 407?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxa when three letters picked without replacement from {t: 4, x: 4, a: 5, s: 2, j: 2}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 270*k**2 - 6217*k + 154. Calculate o(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 13*n - 1845*n**2 + 1840*n**2.\nAnswer: -5*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 3*i - 7. Is 20 a factor of ((-474)\/(-3) - 1)*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-2 - 4) + 3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*s**4 - 751*s**2 + 751*s**2 + (6*s**2 - 2*s**2 - 2*s**2)*(2*s + s**2 - 2*s) as p*s + w*s**4 + g*s**2 + c + x*s**3 and give w.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + sqrt(243)*-3*-5 + sqrt(243) + sqrt(243) + 2 + sqrt(243) + -4)*-4)**2*5.\nAnswer: -54720*sqrt(3) + 7018160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445263 by -273.\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0516+-5.9\nAnswer: -5.8484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -181*w - 2705. Determine r(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v + 9. Suppose 32*i - 34*i = 12. Let s(r) = 7*r - 4. Determine i*o(w) - 13*s(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**3 + 2*s**3 + 2*s**3 + (-s - 4*s + 0*s)*(6 - 6 + 3*s**2) as y*s + u*s**3 + q + g*s**2 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 159000 - 3*r**3 - 159000 + (1 + 3 - 6)*(4*r**2 - 4*r**2 + r**3) + r + 2*r**3 - r.\nAnswer: -3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 618, 2078, 4414, 7632, 11738?\n\"Answer: r**3 + 432*r**2 + 157*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 + 1886*f**2 - 2643*f**2 - 1653*f**2.\nAnswer: -19*f**3 - 2410*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 57. Let p be (-4)\/(-6) - 168\/63. Which is the smallest value? (a) u (b) 0.4 (c) p (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 0.17. Let v = 0 - z. What is the closest to 0 in -3, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1729*t**6\/2 - t**2\/2 + 2390*t - 1964. Find the second derivative of a(o) wrt o.\nAnswer: 103740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2) + sqrt(10)\/(2*sqrt(5)) + (sqrt(72) - (3 + sqrt(72))))**2 - ((-5 + sqrt(2)*-2 - sqrt(2)) + (-2 + sqrt(2) + sqrt(32))**2)).\nAnswer: -81\/2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39707 and 65903.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48*k - 14. Let g(n) = -12*n - 19. Let c(j) = 5*j - 7. Let u(d) = -4*c(d) + g(d). What is 5*t(q) + 8*u(q)?\nAnswer: -16*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 12:38 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -20432806411 and 2.7.\nAnswer: -20432806408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/35 + 2\/35. Suppose 0*v + 4 = v. Suppose 2*g - v*l - 46 = 0, 4*g = -l + 2*l + 113. Find the common denominator of z and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 47.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119076515 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 - 34*m + 117. Let b be (-30)\/(-4)*4\/6. Suppose 2*c - 27 = b*f, -f = c + 4*c - 108. What is the remainder when v(4) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1596\/5*h + 2888\/5 - 1366\/5*h**2 - 15*h**3 - 1\/5*h**4.\nAnswer: -(h - 2)*(h + 1)*(h + 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30417183 is divided by 2008?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 11*u - 15*u)*((180 - 180 - 12*u)*(5 + 4 - 5) - 4*u + 2*u + 4*u + (u + 2*u - 2*u)*(0 - 1 + 2)).\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + z)*(7 - 7 + 15)*(-1 + 3 - 3).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odax when four letters picked without replacement from xxxoxoxhdxeehaohoh?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13808367 to the nearest integer?\nAnswer: 3716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*h = -3*m + 7, 3*m - 9 = 3*h. Let w(z) = -z**3 + 9*z**2 - 6*z - 11. Let c be w(8). Find l, given that l**5 - l**3 - 9 + 9 + 2*l**c - 2*l**m = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242 + 123. Let r = 118.6 + m. Which is smaller: r or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*r = -5, 0 = g - 4*r - 0*r + 1. What is the nearest to -1 in 2\/9, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31410020 - -51?\nAnswer: 31410101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -423 >= -20111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5, 2\/5, -5\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 28. Let o be 1\/y - 1207\/(-119). Suppose -u + 1 = -o. Solve 7*d = u*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 284*f**3 - f - 268*f**3)*(-2 + 2*f + 2) to the form l*f**4 + x*f**2 + d + z*f**3 + r*f and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdk when four letters picked without replacement from {k: 13, d: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1658 divide 292086742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*u + 4*u**3 + 16*u**3 - 6*u**3 - 2 - 3*u**3 - 35*u**3 as r*u**3 + g*u**2 + m*u + s and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 36 + 6. Let r be (-1)\/2 + 15\/t. Let l = r + -1\/7. Which is the biggest value? (a) 5\/6 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 5, -3, -5, 10, -0.4 in increasing order.\nAnswer: -5, -3, -0.4, 1\/10, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*k**2*n**2*x - 6*k**2*p + 9*k*n**3*p*x - 68*k*n**3*x - 92*p*x - 2*x wrt p.\nAnswer: -6*k**2 + 9*k*n**3*x - 92*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s + 17 = -d, -5*d - 85 = 5*s. Let g = -27 - d. Let i = 25 + g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-1*5 - sqrt(204))\/((sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144)*-2)))\/sqrt(12)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)**(3\/13)*i**(-3\/5)\/i*i**(-2\/3))\/(((i\/(i*i\/i**2)*i)\/i**5)\/((i\/(i*i*i\/(i*i**2)*i))\/(i\/(i*(i**(-4\/3)\/i)\/i)*i*i))) assuming i is positive.\nAnswer: i**(-254\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - u. Let z(i) = 5*i + 33. What is z(y(g))?\nAnswer: 20*g**2 - 5*g + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0 - 2\/17*k**2 - 2\/17*k**3.\nAnswer: -2*k**2*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-23)*i*i**(1\/3)*i\/(i*i**(-7)))\/((i**(2\/5)\/i*i*i*i*i**(1\/4))\/(i**(-8)*i*i\/((((i\/(i*i*i*i*i**(-4\/7)*i*i))\/i)\/i)\/i))) assuming i is positive.\nAnswer: i**(2987\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 4. Let p(c) = -c**3 - 5*c**2 + c + 5. Let u be p(-5). Let i be o(u). Let t = -2 - i. Calculate the lowest common multiple of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*s - 4*s + 4*s - s - s - s + 0*s + 2*s + 1 - 1 + (2 + 2 - 6)*(2*s + 3*s - 3*s) - 65*s + 204*s + 124*s to the form p*s + a and give p.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-101)\/(-5) + (-1)\/5. Let t(k) = k**3 - 7*k**2 + 2*k - 9. Let m be 14\/4*2\/(-4)*-4. Let p be t(m). Solve 0 = -a + p*a + c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1082678, -1082173, -1081668?\n\"Answer: 505*q - 1083183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5019*g - 254. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134861 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -2757612403853?\nAnswer: -2757612403853.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -196*v**2. Let t(r) be the third derivative of -r**6\/360 - 121*r**3\/6 - 6*r**2 + 6*r. Let x(y) be the first derivative of t(y). What is x(i(m))?\nAnswer: -38416*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21599996 = -147*q + 151*q. Suppose 5*y - 3*y = 3*c + 2159997, c = 5*y - q. What is y rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*j + 626 = -1374 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3)\/18*2. Let i(w) = 6*w**2 + 5*w + 5. Let f(c) = c**2 + c + 1. Let m(u) = z*i(u) - 5*f(u). Let d(q) = -3*q. Calculate d(m(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2235 and 10545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52961, 105459, 157957, 210455, 262953, 315451?\nAnswer: 367949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 89?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 5, c: 4, x: 7}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(6\/63). Let y(t) = t**2 - 8*t + 10. Let m be y(b). Factor -8*h**4 - h**5 + 4*h**m + 8*h**5 - 10*h**4 + 7*h**5.\nAnswer: 2*h**3*(h - 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19102426?\nAnswer: 2, 7, 89, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u**2)*(227*u + 1 - 96*u + 56*u).\nAnswer: 374*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 5380?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -560 divided by 140\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/7)*p*p*p**(-2\/7))\/((p*p*p*p*p*p**(-2)*p)\/((p**(-4\/7)*p)\/p)))**(-7\/2))**(-33\/2) assuming p is positive.\nAnswer: p**(-297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y**2. Let u(d) = -d**2 - 5384*d - 171. Calculate u(v(a)).\nAnswer: -64*a**4 - 43072*a**2 - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t - 0*t. Suppose 0 = 2*o + 5*v - 24, -14*o - 3*v = -10*o - 20. Solve -l - t*g - 27 = 4*l, o = -l + 3*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**2*n*t**3 - 41608*i**2*t**3 - 3*i - 2*n*t**3 - 250*n*t wrt i?\nAnswer: 18*n*t**3 - 83216*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366699?\nAnswer: 3, 31, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 22*z**2 + 64*z - 3. What is b(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999270.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 4722, 1\/8, -1\/12.\nAnswer: -1\/12, 1\/8, 2.1, 4722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/98)\/(1*((-84)\/12)\/14).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 907363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 7*n + 7. Let g be v(6). Let j = 11 + g. Calculate the remainder when 21 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*k - 15, -39*v + 2*k + 11 = -40*v. Let h(r) = 5*r**2 - 48*r + 52. Let y(w) = -w**2 + 12*w - 13. Let o(z) = -2*h(z) - 9*y(z). Does 20 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:44 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2660\/(-30))\/14)\/((-1)\/(-57)). Which is smaller: a or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 - -2) + (3 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 12) to base 4.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -37*s - 42*s + 13*s**2 + 79*s. Let u(m) = -4*m. Determine u(n(f)).\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:13 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2581 and 5.\nAnswer: -12905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 9, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 383*t**2 + 4210*t + 2*t**3 + 1283*t**2 + 2078*t + 1108*t - 1799*t wrt t?\nAnswer: 12*t + 3332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 11*t - 7*t. Solve -5*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170\/3 + -56. Let w(x) be the third derivative of -k*x**3 + 0*x - 1\/12*x**4 + 0 + x**2. Give w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Let v(b) be the third derivative of 0*b + 0 + 3*b**2 + 0*b**3 - 1\/4*b**4. Determine v(f(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 887 - 576. Suppose q + 25 = u. Suppose 4*b - u = 316. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2, a: 6, q: 4, k: 2}. What is prob of sequence qla?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**4\/12 - b**2. Let o = -10 + 17. Let c(n) = -4*n + o*n**2 + 4*n + 3*n**2. Give s(c(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 5*w + 1248. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13639*y**4 - 2*y**2 - 29302 with respect to y.\nAnswer: 54556*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 113*v**3 + 1 + 8*v**2 - 57*v**3 - 58*v**3 as i + t*v + h*v**3 + s*v**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 13) to base 10.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 + d - 1. Let l be b(3). Let k = 2.96 + 0.04. Let h = -1035.1 - -1035. What is the nearest to l in -4\/5, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.07, 0, 2, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 77. Let b be (-81)\/i + 6\/8. Solve w - 1 = -b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6509*d*f - 73*f - 35 wrt d.\nAnswer: -6509*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(sqrt(76) - -1*sqrt(76)))**2 + -1.\nAnswer: 14591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1371.387 centuries?\nAnswer: 13713.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4518 (base 10) to base 5\nAnswer: 121033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140512 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-100)*46\/(-4)*2\/4*4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -84, -126, -182, -258?\n\"Answer: -x**3 + 2*x**2 - 33*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 481.2022 litres?\nAnswer: 481202.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1. Let w(j) = -4*j - 5. Calculate 4*i(a) - w(a).\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 175. Is (14988\/8)\/(q\/40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 8*x - 10. Let m = -1 - -8. Let l be i(m). Let z = l + 7. What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 66*d**2 + 1 + 0 + 133*d**2. Let l = 43 - 45. Is g(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4595, -4595, -4593, -4589, -4583, -4575?\nAnswer: -4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 - 17 = 0. Let u(p) = -p**2 + 11*p + 354. Let h be u(-14). Suppose x = h*a - 3*x - 124, 0 = -4*a - q*x + 160. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -4. Let z(c) = c**2 + 2*c - 6. Let y be z(u). Suppose 44 = 2*f - v, -y - 1 = -f - v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4308 divided by 1436.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by 2.\nAnswer: 171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 7.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6045 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 14*v + 38. Let d be r(11). What is the third derivative of 0*a**2 - a**2 + a + d*a**2 + 0*a**2 - 150*a**5 wrt a?\nAnswer: -9000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*b - 122*b + 40 = -8*w, 0 = -2*b + 3*w + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**3 - 2*p**3 + 3*p**2 + 0*p**2 + p**3 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(7) + sqrt(28)\/sqrt(4) + 3 + sqrt(7) + -5)*6)**2 + 2.\nAnswer: -1512*sqrt(7) + 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhq when three letters picked without replacement from hqqqmssmq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:11 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.8 or 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let f = -3 + p. Let t = 2107.4 - 2107. Which is the second biggest value? (a) f (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22697 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72513 and 135?\nAnswer: 1087695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 326\nAnswer: 30\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -758 - -331. Let n = -272 - z. Suppose -105 = -4*g + n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*n**3 - 448*n**3 + 2216*n**3 - 441*n**3 - 444*n**3 - 445*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38898779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uccrcuu. Give prob of sequence uccc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.971 to zero decimal places.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -584\/3. Factor 2\/3*s**3 - r*s + 1\/3 - 2\/3*s**2 + 1\/3*s**4 - 1\/3*s**5.\nAnswer: -(s - 1)**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:54 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 14) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 10*u - 21. Suppose 0 = 2*k + 2*k + 3*a - 18, 2*a + 4 = 0. Solve -4*y - u = -3*t, 0 = 4*y - k*t + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 3, 1\/4, -1, 1, -6\/241 in ascending order.\nAnswer: -1, -6\/241, 1\/4, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 8. Let f(y) = 10*y + 15. Let l(z) = 3*d(z) - f(z). Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) + (-86)\/10. Let u(q) = -q - 6. Let z be u(m). What is the biggest value in -5\/2, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 9 = -30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219675 divided by 25?\nAnswer: -8787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 4*m**2 + 0*m**2 + 2*m**3 - 5*m**2 as t + s*m + y*m**3 + p*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 - -509. Let u(l) = 4 - 5*l**2 - w*l - 6*l**3 + 7*l**3 + 165*l. Determine u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1570*b**2*k - 4710*b*k + b - 188798*k - 477 wrt b.\nAnswer: 3140*b*k - 4710*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 1, j: 3}. What is prob of picking 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 + 2*y - 1. Let k be i(1). Suppose k = -3*z - 2*z + 20. What is the third derivative of -3*o - o**2 + 3*o - 3*o**z wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 2. Let v be y(-4). Suppose -u - 6 = -11. Suppose 0 = u*a + 2*o + v*o - 60, -5*o = -25. Calculate the highest common divisor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 7*n**2 - n + 5. Determine v(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 3*m - 39. Let c(w) = -2*w**2 + w - 13. Let d(a) = 8*c(a) - 3*x(a). Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 80*p - 95. What are the prime factors of y(20)?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -736 + 739. Suppose n*p - 2528 = -2*z, 4*z = -5*p + 3*z + 4218. List the prime factors of p.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 4. Let d(b) = 2*b - 3. Let m(t) = 4*t - 5. Let r(o) = x*m(o) + 9*d(o). Let w be r(5). Solve 9 = -w*s - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, q: 2, n: 4}. What is prob of sequence qc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335488 is divided by 33545?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67822 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 2) + 1 + 115 + -50 + -69?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2\/15 (b) 3 (c) 1 (d) 0.5 (e) -14539\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 13. Let c be r(-16). Solve -c*b - 11 + 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 3\/1502, -9, -4, -1\/4?\nAnswer: 3\/1502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 180.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 128, 197, 286, 401, 548?\n\"Answer: p**3 + p**2 + 45*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40939*l**4 + 24*l**2 - 177*l wrt l?\nAnswer: -982536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-255)\/51*2\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 2*h**3 + 2*h**3 + (4 - 1 - 2)*(h**5 + h**5 - h**5) + (-4 + 4 - 3*h**3)*(-3 + 3 + 2*h**2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12960*r**2*t**2 + 104*r*t**2 - 2*r - 13203994*t**2 wrt r.\nAnswer: -25920*r*t**2 + 104*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, -4, -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**2 + 1\/10*h**6 - 3\/20*h**4 - 2 - 3\/25*h**5 + 1\/5*h**3 + 0*h. Factor n(r).\nAnswer: 3*r**2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 1, u: 1, e: 1, h: 2, k: 3}. What is prob of picking 1 h, 1 e, and 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose -5*j = -4*a + 11, -4*j - n*a = -2*a + 14. Sort -2\/5, j, 4 in ascending order.\nAnswer: j, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811812.1 minutes to microseconds.\nAnswer: 48708726000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -31*b + 9. Let k be c(-7). Let o = 153 - k. Let u = o - -121. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s + 14*s - 4*s - 9 + 7.\nAnswer: 45*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -2*o - 42876. Calculate the least common multiple of 2 and o.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = -1, 4*g = 2*z + 86. Suppose -3*n = p - 27, 1955*p = 1950*p - 3*n + 147. Calculate the lowest common multiple of p and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298 + -191. Suppose -4*i + r = -9. What is the remainder when 171 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 591 - 525 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 3432*u**3 - 5536112*u**2 + 1212182400*u - 62375120000.\nAnswer: -(u - 100)**2*(u + 3532)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4432 - -1707?\nAnswer: 5b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 27415926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 5490131.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -74, -261, -632, -1247, -2166, -3449, -5156?\nAnswer: -7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -194*i + 7. Let s be t(3). Let z = 1258 + s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 15*h + 20. Suppose m + 4*m = -150. Let n be (m\/25)\/((-2)\/10). Solve 0 = h*s - 5*v + 20, n*v - 4*v = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w + 5*p, -p - 2 = -w + 7. Suppose -w*b + 24 = 2*b. What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u + 3. Let s(g) = -6*g**3 + 9*g**2 + 18*g - 24. Let v(k) = s(k) + 9*z(k). Solve v(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-108)\/(-60))\/3)\/((-135)\/18).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**3 - 5*l**2 - 2*l - 4. Let w(i) = -8 + 6 - 105*i**2 - 35*i + 90*i**2 - 9 + 29*i + 17*i**3. Give 4*w(k) - 11*z(k).\nAnswer: 2*k**3 - 5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.4 + 20.4. Let v = 0.064 + 10.936. Sort v, a, -1\/5, 1\/7 in decreasing order.\nAnswer: v, a, 1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8923 = 10*p + 153. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 + 1. Let t(g) = -5*g**2. Let w(s) = 3*h(s) - 4*t(s). Suppose 3*v + 4 = 4*v. Let i(z) = 4*z - 2*z**2 - 4*z - 4. Determine v*w(j) + 3*i(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:50 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505842 - 217894 = -13*s. Suppose -69*r = -61*r - s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12768 and 12786 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:45 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -327914900.7212.\nAnswer: -327914900.4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = v - 5, -w + 3*v = 16. Let q be w\/(-6) + 64\/(-84). Let h be (-108)\/81*2\/((-40)\/(-6)). Which is the nearest to q? (a) h (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggeggggegnegtttkgj. Give prob of sequence jke.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from gggvvvggvgg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from {g: 5, z: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -17 - 4) + 173 + -130?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5590767 is divided by 2487.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5066168 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(192) - sqrt(192)*4)*-2)**2 + (1*(-1 + sqrt(192))*-2)**2.\nAnswer: -64*sqrt(3) + 7684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k**3 + 7036 - k**4 - 3*k - 3507 - 3538 to g*k**3 + z*k**2 + m*k**4 + l*k + s and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((-15)\/1320*-11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*8\/(-12). Suppose -d + 0 = -g. Let x be (2\/(-24))\/((-12)\/32). Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2646072 and -17\/3630.\nAnswer: 145533960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 78*v**2 - 14*v - 64. Is w(33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + o = 0, 5*o = 2*u + o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116011700 and 1590.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(9\/4))\/f**(-3))\/(f**17)**(-7\/3) assuming f is positive.\nAnswer: f**(551\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 4*r + r)*(-r + 3 - 3) + 0*r**2 + 2*r**2 - r**2 + 7 + 1192*r**2 - 18 + 417*r**2 + 11 as k + n*r**2 + c*r and give n.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 549?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*b = -2*b, 3*h - 3*b = 0. Suppose -160*j + 166*j = h. Solve r = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b + 18. Determine r(5).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + g - 2*g)*(5 + g - 3 - 4) to the form u + y*g + r*g**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-23)\/((-667)\/(-116)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -253, -246, -227, -190, -129, -38, 89?\n\"Answer: s**3 - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i**3 + 2*i)*(-34 - 25 + 61 - 14*i**2).\nAnswer: -28*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q*q\/(q*q**(-20)\/q))**(2\/9) assuming q is positive.\nAnswer: q**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**3 - 4*g**2 - 7*g. Let a = 34 - 28. Let w(b) = -b**3 + b**2 + b. Give a*w(t) + k(t).\nAnswer: 2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -183*z - 870. Let u be h(-5). What is the highest common factor of 3240 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7182 = -2*m - 5*r + 4*r, 4*r = -16. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*s - 3*y, -4*s + 10*y = 8*y + 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59931 + d + 156*d**2 + 59931.\nAnswer: 156*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -65768010\nAnswer: -26307204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/3)\/(10\/15) + 5458. Suppose -5*h = -11311 - v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 15. Let l(w) = -8 + 3*w**3 - m*w**2 + 1 - 3*w**3 - 2*w**3 - 3*w. What is the hundreds digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**2 - 2*b. Is 15 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122413341 (base 5) to base 15.\nAnswer: ba4d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 72. Suppose -3*u + 2*q - 6 = 0, 0*q = -4*u - g*q - 8. Let r be 1\/(((-4)\/14)\/u). Solve -3*n + c = 5*c + r, -2*c - 17 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451 - -469. Suppose 3*z - 2*j + 71 = 3*j, -3*j - 107 = 5*z. Let p = d + z. Which is the nearest to -0.2? (a) -1\/3 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 2, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -327 (b) 0.3 (c) -2 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2+-5428.869546088\nAnswer: -5430.869546088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + d**4 + d + 1 - d**3 - 4*d**4 as s*d**4 + q*d + a*d**2 + f + b*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 0*p + 4*p - 6*p - 1950 + 3*p**2 as m + r*p + o*p**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4567029 divided by 120\nAnswer: -1522343\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 - 144427*i**4 - 5214861779*i**3 - 5212406573*i**2 + 83432589384*i - 104294347380 = 0. What is i?\nAnswer: -72213, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14665150?\nAnswer: 2, 5, 19, 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f. Let z(r) be the first derivative of r**3 + 7*r**2\/2 + 154. Give z(d(x)).\nAnswer: 75*x**2 - 35*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -20.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289949.\nAnswer: 11, 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Let a(j) = j**2 - 7*j. Let l be a(6). Let x = n - l. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + 0*v**2 - 2*v**2)*(-478 + 478 + 67*v**2) to h*v**3 + q*v**2 + p*v**4 + k + z*v and give p.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 70699.3 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4, 4*i - 17 - 6 = -w. Calculate the common denominator of -37\/144 and 1\/18*-118*w\/14.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37139312 divided by -2.\nAnswer: 18569656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2 + (-2 + 4 - 1)*(-4 + 4 - 1))*(-1 + 1 + 2)*(-3*v**4 - 1 + 1).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031827 to six decimal places.\nAnswer: -0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-427)\/35 - (117\/15 + -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 1357.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 8*s**2 - s - 3. Let r be d(-8). Suppose -r*n + 3*q = -0*n - 17, 4*n - 17 = -q. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24444 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 2*y, -77*n + 18 = 5*y - 81*n. What is the remainder when 1882 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -327.4 (b) -0.1 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/785477 and 11\/613?\nAnswer: 481497401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, i: 1, a: 2, s: 2, c: 3}. Give prob of picking 1 n, 1 s, and 1 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80 and -1928825.\nAnswer: -1928745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2*s**3 + 3*s**4 - 33 + 36 - 2*s**2 + 3*s**2 in the form f*s + x + n*s**2 + m*s**4 + i*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 850 - 849. Sort -3, 15, r, 5.\nAnswer: -3, r, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 76. What is the common denominator of (b\/(-22))\/(1\/(4\/(-2))) and (1 - -1)\/(4\/(-58))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5*(-76)\/436*1173\/253 - -4 and -51\/872.\nAnswer: 9592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001110011010 (base 2) in base 6?\nAnswer: -141054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110006, 0, 1, 12, 5 in increasing order.\nAnswer: -110006, 0, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 3*k**2)*(1 - 1 + k**2) - k + k - k**4 + (-3 + 1 + 1)*(-k**4 + 9*k**4 - 4*k**4).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5041445 is divided by 1167.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 2*g. Let m(i) = -6*i + 1. Let y be m(2). Let h = 6 + y. Calculate k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 950. Let x(w) = -w - 319. Calculate -3*c(k) + 10*x(k).\nAnswer: -k - 340","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 1. Let k(m) = 3*m - 16. Let o be (-9)\/(-6) - 124\/(-8). What is the remainder when k(o) is divided by c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 23, -0.2, -2, -46?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/7 + 67468*i**2\/7 + 35735928*i + 31498093872 = 0.\nAnswer: -1722, 37178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 124*z + 11120. Give m(-90).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a16b - -5?\nAnswer: -a166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133672 rounded to 3 dps?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 94 = -4*m, -2*k - k - 27 = -m. Suppose 5 + 10 = 5*y. Suppose -y*c + 12 + 9 = 0. What is the highest common divisor of c and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/6 - (-12)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2428, -5, 6, -1 in decreasing order.\nAnswer: 2428, 6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059913.\nAnswer: 2059913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*d**4 + 2 + 2*d**4 + 6 wrt d.\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85600*u**2 - 93080*u?\nAnswer: -171200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*b = -11*b - 802. Put b, -34, -52 in decreasing order.\nAnswer: b, -34, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 4*r - 2*r + (-2 + 3 - 2)*(r + 3*r - 2*r) + (5 - 5 + 3*r)*(-2 + 3 + 1) + 4*r + 3*r - r as f*r + q and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69134 is divided by 384?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g + 1. Let s(n) = -16*n**2 - 18*n + 18. Let a be (-8)\/(-3)*(-1 - (-125)\/(-10)). Calculate a*o(r) + 2*s(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -7.15069.\nAnswer: -6.55069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 44 * 9\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 6. Let p be l(-4). Suppose 0 = -p*o + 1 + 5. Suppose 3*b = o*t + 153, 63 = b - 0*t + 2*t. What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.5 + 33. Which is the second smallest value? (a) 1\/4 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 3. Let n(a) = 2*a - 448 + 447 - 2*a + a. What is 4*i(z) + 10*n(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 3473389?\nAnswer: -3473396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731061 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**2 + 2*n**2 - 2*n**2)*(280 - 152*n - 280) + 10 - 10 + 6*n**3 to b + m*n**3 + z*n**2 + u*n and give m.\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031101 (base 4) to base 12.\nAnswer: 5295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 2. Let b(n) = 21*n + 15. Let m(o) = 2*b(o) - 15*f(o). Let h(w) = -2*w. What is m(h(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - 10?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {o: 4, w: 1, b: 1, c: 6, p: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/3 + 120*p**3 + 119*p**2 - 718*p\/3 = 0. What is p?\nAnswer: -359, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032965 is divided by 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.9. Let r = -117063 - -117066. Let d = -6 - -4. Which is the nearest to p? (a) d (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2081059, -4162135, -6243211?\n\"Answer: -2081076*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-2\/5))*k)**(-4\/27)\/(k**1*k*k**(1\/6)) assuming k is positive.\nAnswer: k**(-203\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -16*f**3\/3 + 3*f**2\/2 - 15. What is the second derivative of b(y) wrt y?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, 2053?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34 = c - 3*c, -3*q + 47 = c. Let i = -10 + q. Suppose 0*a - 2*a - 5*d = -99, 0 = i*a + 5*d - 210. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 7 in decreasing order.\nAnswer: 7, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11396618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*f = -9, 258*f = -10*h + 257*f + 39 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - (sqrt(38) - -6*(sqrt(38) - sqrt(190)\/sqrt(5))))\/(sqrt(2) - (sqrt(2) - -2*-2*sqrt(2))) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 8*a - 40.\nAnswer: -2*(a + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lin when three letters picked without replacement from iinnnnnnninnnnnnnnln?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 738.7 times 5131\nAnswer: 3790269.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 11 - -37) + -60 - 32?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.4 and -0.08?\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0 (c) -290756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 56.9613\nAnswer: -28.48065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5912.869 millilitres to litres.\nAnswer: 5.912869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*u - 12 = 0, -12*s + 13*s - u + 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 621742 (base 14) in base 2?\nAnswer: 1100100111100110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -33217\/224?\nAnswer: -33217\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/20 - 224\/(-10). Suppose 3*h - n = n + w, -h = -5*n - 3. Solve 2*j = -0*j - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067322556?\nAnswer: 2, 266830639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.2 - 3.8. Let w = d + 36.9. What is w rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52882937 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (192\/10 + 1938\/(-102))*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -4, 14\/283, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1342, -1675, -2010, -2347, -2686, -3027, -3370?\nAnswer: -3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 divided by -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370\/7 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14*q = 88. Suppose 0 = -q*a + 268 - 36. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let h(j) = j + 6. Let g(d) = -h(d) - 6*s(d). Let o be g(-2). Solve -o*y - 2*y = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and (29\/(-2) - -1)\/(348\/(-1856)).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48818588?\nAnswer: 2, 7, 13, 43, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, 692.39, 5\/22 in decreasing order.\nAnswer: 692.39, 5\/22, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 11. Let t be x(2). What is the common denominator of -115\/14 and t\/12 - (-134)\/(-88)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612))**2 + -4 + ((sqrt(17) + 3)**2 + sqrt(17) - sqrt(17))*2*6.\nAnswer: 60*sqrt(17) + 921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**(-2)*t)\/t))**(-11\/8)\/(t**(1\/3)\/t*t**7) assuming t is positive.\nAnswer: t**(-185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let c = w - -9. Let m = -24 + 40. Calculate the smallest common multiple of c and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -104, -74, 64, 346, 808, 1486?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 5, x: 2, d: 1, t: 1, o: 2}. What is prob of sequence oxn?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, -2\/11, -4 in increasing order.\nAnswer: -4, -2\/11, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from ddddeedesisdidi?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.00671 - 0.01671. Round o to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 12:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 90 = 8*p. Let v(u) = -2*u**2 + 6*u + 4. Determine v(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, d: 3}. What is prob of sequence dwwd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/279 and -6\/11.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 25399451 = 53*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11123224 - -230?\nAnswer: 11124004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/4*(3 - -1). Let g = -56 - -389. Calculate the highest common divisor of q and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 2:22 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*o**5 + 0 + 0*o - 2\/5*o**3 + 0*o**4 + 0*o**2.\nAnswer: 2*o**3*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 21 + 0 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032)*-1 - sqrt(4032))*4 - 1*(-2*sqrt(4032) + sqrt(4032)))\/((-4*sqrt(1575) + sqrt(63))\/(-1*sqrt(343))).\nAnswer: -392*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 425113213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/62 and -65\/1922.\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/150 - x**4\/60 + 2*x**3\/5 + 21*x**2. Solve l(f) = 0 for f.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 32. Let b = 88 + w. What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 2. Let y be v(5). Let g = y + 30. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15581*h + 16236*h = 6429 + 14531 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 - 5*g**3 + 2*g**3)*(0 + 0 - 1) - 22*g**3 + 20*g**3 + 5*g**2 - g + 3*g in the form v + a*g**2 + i*g + x*g**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {l: 1, x: 1, h: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 + 34345*h**4 - 5635066*h**3 + 23191732*h**2 + 21999662*h - 6861485 = 0.\nAnswer: -1, 1\/4, 5, 163, 8419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 5. Let t(i) = 2*i + 3. Let l(u) = -5*t(u) + 3*x(u). Let k(y) = -116 - 3*y + 116. What is k(l(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 20 = -13*a. Let p = a - 1. Solve -d = p*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + (-589 - -601).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7024.145 kilograms to micrograms.\nAnswer: 7024145000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(-120) + (-2)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and 61\/3818.\nAnswer: 26726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6784829, -6784833, -6784837, -6784841, -6784845?\n\"Answer: -4*y - 6784825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14970 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(2\/87)\/(c**(1\/4))**34 assuming c is positive.\nAnswer: c**(-4429\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/6)*h\/(h**7\/h*h))\/((h\/(h\/(h*h\/h**(-9)*h)))\/h**(-5)))**(-2\/51) assuming h is positive.\nAnswer: h**(137\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-5) - (-14)\/(-35). Suppose -3*x + 2 = 5*b - 2, z*x = 2*b - 10. Put x, 5, -4 in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from {i: 10, m: 2, x: 4, v: 3}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -0.7, -4, 0.06?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/1560*-4*(-264)\/308?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11690 and 1255506?\nAnswer: 6277530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550303249?\nAnswer: 550303249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 13*x - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*j + 17, -4*j = 4*f - 3*j + 11. List the prime factors of (20\/(-50))\/((6\/4030)\/f).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37870a29 - -5?\nAnswer: 37870a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -15*d. Let v(w) = 91*w. Give -13*m(j) - 2*v(j).\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 - 96 + 42)*(1 + 3*x**2 - 1)*(-x + 3*x - 4*x) as g*x**3 + l + h*x**2 + m*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 771202841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 7*g**3\/6 - 13*g + 96. Let k(i) be the third derivative of -19*i**5\/30 + i**2. Determine v(k(b)).\nAnswer: -266*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 - 3*f**4 - 78*f**3 + 78*f**2 + 75*f - 75 = 0?\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -73176?\nAnswer: -21952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -9320 and -4.\nAnswer: -9324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-2*3\/2*(-8)\/8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44740, -44739, -44738, -44737?\nAnswer: -44736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1 + 0*j**3 - 7*j - 6*j**2 - j**3 + 0*j**2. Suppose -25 = 3*v + 2*v. Does 9 divide q(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/120*35*-5*(-8)\/980.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5119 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f**(-7)*f)\/(f\/f**12*f**11*f))**(-2))**(1\/18) assuming f is positive.\nAnswer: f**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.7, -2\/5, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 204 = -222, c - 4*r = 194. Solve 0 = 22*f + 60 - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 10. Suppose -5*d = -43 + w. Solve -3*q - 3 = 0, -d*l + 3*l + 2*q - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 41441638.95665?\nAnswer: -41441639.03665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 175*z**5 + 6*z**3 + 24*z**2 - 17*z - 17. Let k(b) = b**3 + 4*b**2 - 2*b. Let f(q) = j(q) - 6*k(q). Find the second derivative of f(u) wrt u.\nAnswer: 3500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:59 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22980354?\nAnswer: 2, 3, 29, 132071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/105 + 5*v**5\/12 + 7*v**4\/2 + 66*v**2 + 2*v. Find the second derivative of x(i) wrt i.\nAnswer: 24*i**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:05 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 - -39. Let c = 170 + h. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8285 and 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -10, -48, -110, -202, -330, -500?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7 = b + 1, -5*b + t = -2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47 and 4183.\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + 0*b**2 + 3*b**2)*(-2614*b - 622*b - 1744*b)*(b - 5*b + 2*b) to s*b**3 + z + y*b**2 + x*b + g*b**4 and give g.\nAnswer: 9960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -19*x - 5\/6*x**3 + 25\/2*x**2 + 1\/4*x**4 + 0. Is c(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28.6, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*q + 5*g - 2, 2*q + 6013 = 6*q - 10*g + 5979 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:05 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 - 65. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-3 - 2 + 6)*(s - s + s) to b*s + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2421\/8 - 303. What is the third biggest value in 5, 0.1, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -22\/3, 35?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1097 + s**3 + 1102 + 1103 - 3302 + 0*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g + 11. Give w(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144532121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35554 is divided by 4330.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -8*n + 7*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20813 divided by -82.\nAnswer: 20813\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 8. Let x be (4\/q)\/((-24)\/56). What is the closest to x in -2\/15, 2, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:24 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = h, 2*v - 1 = 2*h - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 1 - 3)*(-159 - 19*x + 159)*(2*x**2 - 5*x**2 - x + 4*x**2 - 3) as a + m*x**3 + b*x + c*x**2 and give c.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42782\/18 - ((-150)\/135)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3994*b + 3941*b + 53 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.1 + 33. Sort 3, v, 0.5 in decreasing order.\nAnswer: 3, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:22 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -172, -254, -334, -412, -488, -562?\n\"Answer: t**2 - 87*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by -22?\nAnswer: 166\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114 is divided by 662?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**2. Suppose -2*y + 2 = -2, 2*f - 4 = y. Let m(o) = f*o - 4*o + 2*o + 4*o. What is m(l(j))?\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 0*p**4 - 3*p**4 + (-4 + 5 + 11*p - 25*p)*(-2*p**3 - 2*p**3 + 6*p**3).\nAnswer: -30*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n**4 + 0*n**5 - 2*n**2 - 13*n + 41\/6*n**3 + 2\/15*n**6 + 0. Differentiate h(p) with respect to p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 8*d. Let v be n(-6). Let a = -80520 - -80519.5. Sort v, a, 0.1.\nAnswer: v, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29682 by -291.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769344691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 5, 16, -5, -8 in descending order.\nAnswer: 61, 16, 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 45*d**2 - d - 11. Let v be z(-45). Let p(l) = 29 - 19*l - 69 + 5*l - l + v. Let u(o) = o. What is p(u(n))?\nAnswer: -15*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - 216*s - 403. Let p(h) = 11*h**2 - 464*h - 807. Let f(q) = -7*m(q) + 3*p(q). Factor f(x).\nAnswer: 5*(x + 4)*(x + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 3*u + 3, -j + 3*u + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100 - -1010010?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 33*i - 4*o = 20, 0 = -3*i - 4*o - 46 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfuuffuftm. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -554 in ascending order.\nAnswer: -554, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*d - 155 = -491. Let b(j) be the second derivative of 8*j**2 + 8\/3*j**d + 1\/3*j**4 + 0 - 4*j. Factor b(k).\nAnswer: 4*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4385, -8770, -13153, -17534, -21913, -26290?\nAnswer: -30665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 5*w**2 + 8*w + 24. Suppose -42 = -91*m + 97*m. Let n be y(m). Calculate the highest common divisor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 909168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -525?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -156. Let z = d + -45. Which is the second smallest value? (a) z (b) -20 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -34. Calculate the remainder when 4 - 3*(-4 - m) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/17898 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -584 - -586. What is the second smallest value in 0.2, -2, 2\/11, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -66. Solve -z*h = -h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 80. Let r be v(-24). Suppose -5*d = -0*q - q - r, 4*d - q = 7. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2407002, 2406997, 2406988, 2406975, 2406958?\nAnswer: 2406937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2 + 9 + 6*b**2 + 0*b**3. Let r be t(6). Suppose 2*h + 2*q = 14, -3*h = -3*q - 34 + r. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/3 - 73*s**3\/3 - 454*s**2 - 288*s + 2592 = 0. What is s?\nAnswer: -36, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 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: What is the square root of 1264 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -44) + -192 + 186?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:28 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, -4, -2, -12634?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 3 + -2*sqrt(252)) - ((0 + (sqrt(700) + 2)*4)*6)**2.\nAnswer: -405520 - 22992*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.464\nAnswer: 3.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/15150 and 119\/24240.\nAnswer: 121200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.79142mm in micrometers?\nAnswer: 34791.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s = 55*s - 4950 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*t**2 + 2296*t**3 + t - 605*t**2.\nAnswer: 2296*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 12b0?\nAnswer: -12b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) + (sqrt(1368) + (3*sqrt(1368) + sqrt(1368) - sqrt(1368)))*4)\/((sqrt(256) + (sqrt(256) - (sqrt(256) - sqrt(256)*-1 - sqrt(256))))\/sqrt(8)).\nAnswer: 51*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Let b be v(0). Suppose -4*d + l + 5 = 0, d + b = -d - l. Solve d = -f - 5*m + 15, 5*f + 2*m - 21 = 4*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 46. Let o(k) = -k**2 - 2*k - 1. Let a(w) = b(w) + 2*o(w). Let v be a(5). Let i = -177\/5 - -2296\/65. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2818 = -n - 10493, 25 = -5*i. What is n rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Evaluate -4 + -3 + -6 - (-20 + 73 + -15).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 49*q**2 + 269*q + 35. Let d be m(-54). What is the greatest common factor of d and 8099?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 + 8*k. Let x = -6 - -13. Let r be o(x). Suppose -r*t + 28 = -3*t. Solve t + 5 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1, -3\/8, 1\/12, 0.47?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from cttnnttwtwcootwnw?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.82688 times -27?\nAnswer: 5989.32576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 28 = i. Let c = 238 + i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffdm when four letters picked without replacement from {v: 1, d: 2, f: 3, m: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -535\/4. Let w = 0.281 - -0.019. Let m = 184 - 1286\/7. What is the nearest to m in q, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 3*s = -2, 16 = 3*f - s. Suppose -f = -w + 14. Let a be (18\/(-4))\/(3\/(-4)). Solve a + w = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.2. Let y be 316\/6 - 6\/(-18). Let w = y + -52. What is the closest to 0.2 in -3, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 2:07 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 293*z**2 - 638*z**2 + 342*z**2. Let x(p) = p**2 + 36. Determine c(x(i)).\nAnswer: -3*i**4 - 216*i**2 - 3888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -38 (b) -2.6 (c) -17872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1241950702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 19 - 144\/(-18). Solve 9*j = 14*j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dididdididiiid. What is prob of picking 3 i?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 + 50*o**2 + 3 + 18*o**2 - 15*o**2.\nAnswer: 62*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 53 - -22 - -85.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0231 - -0.0769. Let k = 131\/468 + -3\/52. What is the biggest value in n, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93807 and -85.1?\nAnswer: 7982975.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {j: 2, g: 2, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310110 (base 4) in base 6?\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 5. Let s be i(-5). Let v = 1 - s. Let c be (42\/35)\/(2\/(-5)). Sort v, c, -5 in descending order.\nAnswer: v, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30565031700 rounded to the nearest one million?\nAnswer: 30565000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*o + 12*o - 3*s, -4*s = -5*o - 6. Let b = 295\/3 + -97. What is the nearest to o in b, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from {e: 5, y: 4, t: 1, w: 6, o: 4}?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 20 = -4*q - y, -3*q + 52 = 4*y. Calculate the highest common divisor of 240 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199234103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 48*d + 406. Determine t(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(17)*1 + sqrt(17) - (sqrt(425) + -2 - sqrt(425)) - (sqrt(1700) + 1 + -3)))**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 683.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51846725869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -1529992.\nAnswer: 11\/1529992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -18. Let i(t) = 12*t - 4*t - 4*t**2 + 1 - 8*t + 3*t**2. Give i(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -403. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8692973, 17385958, 26078943?\nAnswer: 34771928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 34*q + 15. Let p be h(17). Let l(i) = -p*i + 25*i - 11*i. Calculate l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -13\/289 (c) -0.7 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 260420.0319 to the nearest 100.\nAnswer: 260400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 equal to 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -14197, -16\/35 in increasing order.\nAnswer: -14197, -16\/35, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 498, 766?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**14\/c*c)\/(c*c**(2\/11)))**46)**(11\/5))**(-7) assuming c is positive.\nAnswer: c**(-45402\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**2 + 6*c + 82 wrt c?\nAnswer: 6*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {f: 6, p: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -9. Let v = 5.9 - 0.9. What is the closest to -1 in v, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7195237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -298, -1207, -2714, -4819, -7522?\n\"Answer: -299*r**2 - 12*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 + 20*c + 156. Let l be s(-8). What is the smallest value in l, 5\/3, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -136870741*d**2. Let q(w) = 6*w. Calculate q(y(r)).\nAnswer: -821224446*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) - (-5 + sqrt(343) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 0*y**3 + 0*y**3 + (2*y**2 - y**2 - 6*y**2)*(-y**2 + 15*y**2 + 2*y**2)*(3*y + 7*y - 67*y).\nAnswer: 4561*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1685, -1710, -1751, -1808, -1881, -1970?\n\"Answer: -8*l**2 - l - 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-848)\/104 + 16\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:40 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2f9f57 (base 16) to base 3\nAnswer: -12212120011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/10)*z*z**(6\/7)\/z*z)\/(z**26*z\/(z\/(z*z**21))) assuming z is positive.\nAnswer: z**(-3181\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -158203 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27072119879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 79*m**2 + 1358*m + 4157. Calculate h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1280557241 to the nearest integer?\nAnswer: 35785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3541885, -7083771, -10625657, -14167543, -17709429, -21251315?\nAnswer: -24793201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**2 + 2*z. Let s(l) = -7*l**2 - 2*l + 1. Determine -5*n(j) - 6*s(j).\nAnswer: 2*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from gllhxg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0 - 1\/2*y**3 - y + 0*y**2. Let t(w) be the third derivative of w**5\/60 - w**2. Give t(r(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 40 - 13 = 4*n, -2*q - 9 = -5*n. Suppose 2*x - 4 = -2*r, -2*x + 7*r = q*r - 28. Let d(g) = g**2 - 4*g - 5. What is the units digit of d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 182912.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -473102\/673683 + 6\/11819. Let b = m + 2\/57. What is the nearest to b in 0.1, 3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675982 - 972284. Let n = -9370 + c. Let j = n - 164328. What is j rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 69*c - 12. Let v(r) = 31*r - 6. What is -7*v(h) + 3*y(h)?\nAnswer: -10*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/14 - (-29)\/(-2). Let h = 6 + k. Let n be (h\/(-2))\/40*-6. Sort 1\/5, n, -3.\nAnswer: -3, n, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201 + 310?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 661448 and -31.\nAnswer: -20504888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 165\/7*z + 3\/7*z**3 - 78\/7*z**2.\nAnswer: 3*(z - 28)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53.5812 kilograms?\nAnswer: 53581200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + 53. Let d = 111 - y. Calculate the remainder when (-82)\/(-4)*(-6 - -8) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -5, 508192.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -44223214?\nAnswer: -4422321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 35*j + 253. Let q(b) = 17*b + 127. Determine -6*g(v) + 11*q(v).\nAnswer: -23*v - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 0.361746.\nAnswer: 0.421746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(114)*-6 + sqrt(114) + (-1*sqrt(114) + sqrt(114) - sqrt(114))*1))\/(6*sqrt(30)\/(-1*sqrt(5)*5)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3\/3 + 3*u**2\/2 + 3*u - 49. Let x be a(-6). What is the units digit of 2\/((-2)\/8*(-56)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h. Let a be 3 + (-1)\/((-5)\/(-20)). Let j be l(a). What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2359.798us?\nAnswer: 2.359798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147158\/35 - -4206. What is the common denominator of o and 26\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8839472 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/13, -5, 28?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249 * -0.616164.\nAnswer: -153.424836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnbuubbuubxuxbnbkeeu. Give prob of sequence eknu.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/40 + 3*g**5\/20 - g**4\/8 - 3*g**3\/2 - 1125*g**2. Factor v(y).\nAnswer: 3*(y - 1)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h + 37. Let s be a(3). Solve -5*v + 11 = -s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54750 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 24885 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4497*d = 1777*d + 527016 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*z - 37, 5*q - 90 + 23 = 4*z. Let w be ((-6)\/q)\/(2\/(-560)). Suppose -h = 3*h - w. Solve -p = 5*a - h, 3*p = -4*a - 10 + 39 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 - -2 - 6. Let k = y + 11. Differentiate g**k + 0 + 1 - 3*g**4 with respect to g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (2 + -1 + -17 + 9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11361 - 11361 - 26*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.207 + -13.793. Which is the nearest to 0.1? (a) -2\/15 (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 15. Suppose 2*w + 13 = z, -5*w + 3*w - i = -2*z. Suppose -z*q + 6 = -29. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2372 - 48. Let b be (-100)\/(((-14)\/o)\/(-7)). What is b rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(896)*-2 + sqrt(14))\/sqrt(2) + (sqrt(7) + 3 + -3)**2 + sqrt(448) + -4.\nAnswer: -7*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -72709?\nAnswer: 72711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 11794238.\nAnswer: 106148142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 2*s**2 - 6 - 12*s + 3 + 2*s**4 + 21*s to the form i*s**3 + a*s**4 + n*s**2 + d*s + g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*7*(0 + -1). Suppose -4*g - f + 34 = 0, -2 = -g - 0*f + 3*f. List the prime factors of (110\/g)\/(21\/a).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 696 = 6*h + 2*m, 2*m = -h - 352. Let g = -186 - h. What are the prime factors of g?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-33)*(-555)\/135*3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzl when four letters picked without replacement from zllzlmizzzzzllizllz?\nAnswer: 49\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -m + 1 + 1, -5085*a + 5088*a - 9 = -m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44\/13 + -119\/39. Sort 0.3, g, -4, 2\/3 in ascending order.\nAnswer: -4, 0.3, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/390 and 187\/111150?\nAnswer: 111150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 478*u - 56663. Give w(218).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q - 84*q - q**3 + 38*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = -0*u. Let r(t) = t + 2. Let n(c) = -c - 4. Let l(m) = -3*n(m) - 5*r(m). Calculate l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 3, g: 5, n: 5, u: 1}. Give prob of picking 1 e and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221175?\nAnswer: 5, 11, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6922*x = 6919*x - 5, 5*h - 6*x + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:30 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5031 divided by 39.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 890, 1788, 2686, 3584, 4482?\nAnswer: 5380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -425*o - 10. Let a be y(-2). Suppose -9*q = 5*q - a. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*a = -32, 8*w + 11*a = -13*w + 19*w + 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/401, 3129, 43 in descending order.\nAnswer: 3129, 43, -2\/401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.687 - 3.687. Let q = -0.064 + 26.064. Sort m, q, 0.5 in ascending order.\nAnswer: m, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/4 in -4, -139, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 101 - 666 - 253.\nAnswer: -2*m - 1020","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = 0. Suppose r = 3*o + 15 - 51. Solve 6*j + o = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -4) - (1 - 34 - -30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 36*m**3 + 18727*m**2 + 18730*m**2 + m - 37462*m**2 + (-1 + 1 - m)*(-6*m**2 - m**2 + 0*m**2) as d*m**3 + q*m**2 + h*m + s and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + i = -n - 14, -i + 1 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 82021?\nAnswer: 32808.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7104 is divided by 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 2*w + 4. Let d be l(3). Let v(h) = -2*h - 20. Let x be v(d). Let t be x*((-20)\/(-8) - 2). Solve 0 = -6*c + t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 3*s + (-2*s + 3*s + s)*(3 + 4 - 5) - 178 - 24*s + 178)*(3*s + s + 0*s).\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2401432322 - -10?\nAnswer: -2401432312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b - x + 2712 = -51*b, -4*x + 16 = 0. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -51?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from {m: 7, g: 5, o: 2, l: 1, r: 1}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 962.822 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-18)\/t)\/t)\/t*t*t**4 assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 - 20*q - 13. Determine l(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 27 = 9. Suppose -5*o + 4 = -w*u, -5*o = -u - u - 12. Solve -d = 3*b + u*d - 32, -5*d + 16 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmytmtm. Give prob of picking 1 m and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(6\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -5*h, 5*b - 13 - 14 = -2*h. Put 4, -32, h in decreasing order.\nAnswer: 4, h, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3. Let k(m) = -8*m**2 + m. Let b be k(y). Let v = 0 - b. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*w - 533 = 0, 0 = 8*i - 4*i + 4*w - 404. What is the highest common divisor of i and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*d*w - 624621*d - 7640*w - 3 with respect to w.\nAnswer: -54*d - 7640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*x = -x, 0 = -5*u - 3*x + 16. Differentiate 4 - 3 - 2*l**2 - u wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let p(t) = -2*t**2 - 2*t**z + 0*t**2. Let g(m) = 2*m. Calculate g(p(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 5*h - 237. Suppose 4*t + h = -58. Let l be 160*100*(t + 3). Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311 + 1?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -10. Let f be (-380)\/(n\/12 - 2). What is f rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z**4 - 4707243*z**3 + 108620393655*z**2 - 95837305257*z - 12778381206 = 0. Calculate z.\nAnswer: -2\/17, 1, 46149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114222461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -59. Suppose -v*s = -5*y - 3, 0 = -4*s - 0*y - 4*y + 36. Solve -n - 4*a = -s*n - 12, 22 = -3*n - 5*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -974*b**4 + 1 + 2*b**2 + 0*b**2 + 6*b**2 + 3*b + 972*b**4 to the form j + y*b**4 + u*b**2 + w*b + l*b**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5768, -11320, -16860, -22382, -27880, -33348, -38780, -44170?\n\"Answer: h**3 - 5559*h - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) 5 (d) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*m**3 + 18*m**3 + m**3 - 2*m**3 + 3*m - 3*m + (-m - 3 + 3)*(-2*m - m**2 + 2*m) + 4*m**3 - 5*m**3 + 3*m**3 + 3*m**3 + 2*m**3 - 4*m**3.\nAnswer: 61*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366501, 733011, 1099521?\nAnswer: 1466031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1752800 - 906700. Round j to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 2*p**2 + 9*p**2. Let n(t) = -t. Let q(v) = -4*v. Let a(y) = -14*n(y) + 3*q(y). Determine a(i(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1819, 7290, 16393, 29128, 45495, 65494?\nAnswer: 89125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a - 4*a + 16*a - 176266000 = 0. What is a rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**9\/756 - t**8\/240 + t**7\/315 + 3*t**4\/8 + 13*t**2. Let n(w) be the second derivative of g(w). Factor n(p).\nAnswer: 4*p**2*(p - 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by -135*((-9)\/27)\/((-3)\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 2 + 11 - (3525 - 3515)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-12)\/9)\/1. Suppose k*n = -n + 10. Find the third derivative of -7*f**5 + 6*f**5 + 3*f**2 - 4*f**n wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, 117, 111?\n\"Answer: -6*x + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -0.43. Let j = 2.082 + -0.082. Let o be -1 - 3\/(9\/(-7)). Sort j, l, o.\nAnswer: l, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 476*a + 428*a + 789*a - 825*a + 21700 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 215 = 5*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:32 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28894\/117 - -3300\/13. Calculate the common denominator of s and -65\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.534113 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -9. Suppose -q = -4*v, 4*v = -2*l + 2*v + 16. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4636*m. Let h(o) = -o**2 + 20. Determine a(h(t)).\nAnswer: 4636*t**2 - 92720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -50450434 (base 7) to base 2\nAnswer: -10000000000101100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110493706*n**4 + 721129*n**2 - 122*n.\nAnswer: 2651848944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 5*a + a - 2*a**3 + 2*a - 4*a**4 to the form g*a + n*a**2 + t + j*a**4 + z*a**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1413 (b) -1\/2 (c) -0.7 (d) -35\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20097 and 184140?\nAnswer: 37380420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*b - 3990, 12015 = 3*u + 126*b - 129*b. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 61*o**3 + 2*o**2 + o. Let f be v(-1). Let h = 74 - f. What are the prime factors of h?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/23? (a) -1\/13 (b) -3 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(175))\/(sqrt(147)*-2 + sqrt(3)).\nAnswer: -sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(190) - -2*sqrt(190)) + sqrt(190))*-2)\/(sqrt(640)*1) + 4 + 5)**2.\nAnswer: -16*sqrt(19) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c + 12*c + 3*c + 1)*(5 - 5 - 13) in the form d + w*c and give w.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.136468 days in microseconds?\nAnswer: 357390835200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*t*x**2 - 116*t*x - 12825728*t - x**2 - 418*x wrt x.\nAnswer: -92*t*x - 116*t - 2*x - 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 - 1456*n**4 - 133944*n**3 - 263536*n**2 - 131044*n.\nAnswer: -4*n*(n + 1)**2*(n + 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44088*j - j**3 - 3*j**2 - 46618*j + 3*j**2.\nAnswer: -j**3 - 2530*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*o + 3*o**2 + 88*o**3 - 289*o**3 + 198*o**3 - 148*o - 3*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 3. Let h(t) = -286*t - 92. Give -2*h(s) - 60*v(s).\nAnswer: 332*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h + 63. Suppose -d - 4*o = -20, -4*d + 4*o = -8*d + h. Suppose -x + 19 = -4*k - 4*x, d = -2*k + 3*x - 5. Sort k, -2\/7, 0.\nAnswer: k, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*h*v + 468658*d**2*v - 4*d*h*v - 3*d*h - d*v + 12*d - 425*h*v + 2*v wrt d.\nAnswer: -4*h*v + 937316*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 1\/4 (b) 0.5 (c) 5 (d) 4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900202?\nAnswer: 2, 3, 483367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (5324\/132)\/(1\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 4 = -14. Suppose 0 = 4*v - 2*x - 20, -2*x = 2*v + 3 - d. Solve -3*m - 6 = v*a, 3*a - 1 = -4*m - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 96*f - 1681 = 2555, 0 = -3*f + 132 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*m - 179*m - 5877 = -55465 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 6}. What is prob of picking 1 h and 2 n?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 338 - 573 = 0. Let d = 277 - t. Let y = 26 + -15. What is the remainder when d is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 2. Suppose 2*d - 5*a + 0*a = 23, -4*d + 22 = -2*a. Suppose -d*t + 0*t - 32 = 0. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**6\/6 - 9*f**5\/2 - 50*f**4 - 880*f**3\/3 - 960*f**2 + 14*f - 137. Let o(a) = 0. Calculate a.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 35*c**2 - 7*c - 99. Let q be h(34). Suppose q = -u + 14*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.33 - 4.33. What is the closest to x in -0.2, -0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -24*m. Solve -b - 5*z + 10*z + 23 = m, -4*z = 4*b + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 1.8. Which is the nearest to -2? (a) 3 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -938 + 966. Let f(c) = c**3 - 29*c**2 + 28*c + 133. Let l be f(t). Round l to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 30. What is n(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452697.\nAnswer: 13, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2700)\/525*(-70)\/135?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4942 - 2*w - 4533 + 2*w + 2*w as o*w + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/6 - (-2)\/(-6). Let y be r\/3 - (-44)\/(-12). Let g be 8*(y - 7\/(-2)). Solve -x + g*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 35*y - 2. Let u(p) = -4*p**2 + 36*p + 3. Let t(c) = 4*i(c) + 3*u(c). What are the prime factors of t(13)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 16 + 19)*(0*q - 3*q - q) + (2*q - 5 + 5)*(-7 + 3 + 2) to the form v + p*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = 6. Let k = -8.53 - -8.83. Which is the closest to t? (a) 0.2 (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*y = -7*s + 496, s + 2*y = 119. Suppose -3 = 3*v - 5*d, 23 = 5*v + 5*d - 4*d. Suppose s - 339 = -v*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:55 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10422 and 7\/15633.\nAnswer: 31266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*l - 3*p, -l + p - 3*p + 10 = 0. Suppose 0*c = 4*c - l. Suppose -c*u + 68 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4204024 and 790856.\nAnswer: 79876456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80) + -1 - sqrt(80))*-6)**2 - (2*sqrt(80) + -5)*3 - (sqrt(80) + 1 + sqrt(80) + 1 + (3 + 1*sqrt(80) + sqrt(80))**2)*-2.\nAnswer: 88*sqrt(5) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77*136\/374)\/((-35)\/30).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16 - (-903)\/12. Suppose 2*f + 3*f - v = 0. Solve 0 = -5*o - 4*g - 45, -g = 2*g + f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 4 in decreasing order.\nAnswer: 13, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h - 5\/6*h**3 - 41*h**2 + 0 + 1\/60*h**5 + 3\/8*h**4. Give z(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 27\/5*r**3 + 1 + 4\/5*r - 18\/5*r**2. Determine s so that m(s) = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.476 + -39.876. Which is the nearest to -5? (a) w (b) -6 (c) -0.2 (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.15942, -5, 0.2?\nAnswer: 1.15942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 6\/(-24))\/((-1)\/1636) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84294822 divided by -2?\nAnswer: 42147411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1010011111 (base 2) to base 4\nAnswer: 22133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 41.84162?\nAnswer: 8.368324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 times 3325?\nAnswer: 4219425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2 + 1 - 4 - 2 - 5 - 3 + 2 + (-1 - 4 + 3)*(-1 + 2 - 2))*(4 - 4 + 3*w) as c*w + u and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 4*v + 0*v - v + 3*v + (0 + 1 + 1)*(0 - v + 0) + 3*v - 2*v - 3*v + 3*v - 4*v + 0*v)*(3 - 2 + 2)*(1 - 7 - 7)*(2 - 5 - 4).\nAnswer: -1092*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9703*m**2 - 15*m - 930. Let o(z) = -8*z**2 + z + 2. Let t(p) = 11*o(p) + y(p). What is the second derivative of t(s) wrt s?\nAnswer: 19230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1995425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 2}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5584*i + 5608*i - 432. Solve 0 = 24*d - 27*d + i for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v + 2. Let c(z) = -z + 1. Let w(x) = -2*c(x) + m(x). Let b(r) = -6*r. Let a(t) = -5*b(t) - 2*w(t). Let j(s) = 4*s**2. Give j(a(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31*u + 739. Let a(y) = 10*y + 1134. Let s be a(-111). Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 743 + 773 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, j: 3}. What is prob of sequence ii?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -25. Suppose 3*a - 2*a - w*a = 0. Suppose 5*h + 2*b - 11 = a, 10*h - b = 5*h + 2. Solve 0 = 3*t - 4*t - h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 144251?\nAnswer: -144245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 14*z + 107042. Is z a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -649985 divided by 6.\nAnswer: -649985\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - v + 1. Let z be h(-3). Suppose -z = -3*m - 7. Suppose 0 = -4*g, -6*b - 2*g - 5 = -b. Sort m, -2, b in ascending order.\nAnswer: -2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/3 - 214*n**4\/3 - 284*n**3\/3 + 47560*n**2 + 517152*n + 1465344 = 0 for n.\nAnswer: -18, -6, 32, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42326304 + 0?\nAnswer: -42326304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 78. Let l be a(-36). Let x be 15\/l*-2 - (-11 + 20). Sort 29, x, -2 in ascending order.\nAnswer: x, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35*k**3 - 14*k**2 + 20*k - 97. Is x(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3992 by -4.\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = b - 3, -2*j = 127*b - 129*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w = 72*w + 968. Suppose w*a - 124*a = -18. Solve -t - 4 = 2*z, t + z = 4*z + a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 2, c: 6, b: 2, f: 6}. Give prob of picking 1 r and 1 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1934 from 0.4.\nAnswer: 0.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110010101000011000010000?\nAnswer: 110010101000011000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*c = -3, 16*t - c = 14*t + 11. Calculate the remainder when (-117 - 55)*(3\/t - 1) is divided by (-2)\/(4*1\/(-38)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241088506 to the power of 1\/2, to the nearest integer?\nAnswer: 35229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + (-9)\/9. Suppose s - 1 = 0, 4*h - 5*s - 15 = 28. Solve -2*j + 4*z + 10 = b, 4*j = -0*j + 4*z + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 11 + -4 - 6. Solve -2*u + m*y = 17, -4*u = -3*u + 2*y - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d - 12. Let i be 1 + (16\/(-12) + 1)*9. Let h be c(i). Suppose 2\/9 + 2\/9*r**h - 4\/9*r = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -34777*i. Let m(c) = 4*c. Calculate u(m(b)).\nAnswer: -139108*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s + 11*s)*(0 - 2 + 3) + (2*s + 2*s - 6*s)*(11 + 0 + 1).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - u**2 + u**2 - u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144818.927 nanoseconds to weeks.\nAnswer: 0.0000000018928884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 198187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**6)**(-34) assuming l is positive.\nAnswer: l**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-9 - -32) - 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-21) - 10\/35. Suppose -2*q + 2*n = 0, -2*n = -4*q + 5 + 3. Suppose 0 = -q*k + 43 - 11. What is the greatest common factor of k and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-3*5)\/((sqrt(70) - ((sqrt(70) - sqrt(70)*-2) + sqrt(70)))\/sqrt(10)))**2*-1.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -2\/9, 1\/3, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z + 45. What is u(-13)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 + (-3830)\/80)*1?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (41 - 8) + -22 + -6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + 1397\/(-33). Let q be y\/9*(-12)\/(-8). Let d(f) = -2*f - 7. Give d(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7771128 is divided by 582?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*q + 2*q. Is (-16)\/(-56) - (-845)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -34?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959.9607 nanometers to millimeters.\nAnswer: 0.0009599607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 260186622.\nAnswer: -1\/260186622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2571, -6996, -11417, -15834?\nAnswer: -20247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9814369?\nAnswer: 2659, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (13 - (-3 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 30. Let i = f - -21. Let z = 45 - i. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (100\/(-90))\/((-1)\/18). What is the highest common divisor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2+-363\nAnswer: -361.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {o: 4, h: 2, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 13*o - 13. Let r be y(1). Suppose 3*v - r*j = 145 - 32, 2*j = v - 37. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.92 bigger than 0.115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, -2, 10, 3, 687 in descending order.\nAnswer: 687, 22, 10, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -314\/3*d + 1\/3*d**2 - 105.\nAnswer: (d - 315)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**2*s**3 + 263*n**2 + n*s + 1375*s**3 - 3*s**2 - 6*s wrt s?\nAnswer: -18*n**2*s + 8250*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9748 - -9738. Let b(d) = -2*d**3 - 20*d**2 + 3*d + 34. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - f. Suppose -5*o + 25 = -5*z, 0 = -2*z + z + 4*o - 20. Calculate s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -105, -153, -185, -195, -177?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 15) + 175 + -140\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5572 + 28042\/5. Let m = 36 - i. What is the second biggest value in -6\/11, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**10\/30240 + g**9\/15120 + g**4\/6 + 2*g. Let u(j) be the third derivative of m(j). Factor u(x).\nAnswer: x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1.1404?\nAnswer: -2.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88760 + 124638. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486 (base 12) in base 6?\nAnswer: -15050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g - 31 + 49 - 1118 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -88, -134, -180, -226, -272?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001022010 - -12120?\nAnswer: -2001002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svql when four letters picked without replacement from {l: 1, s: 4, i: 4, q: 2, v: 6}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5 + 3. Let f(m) = 3*m**2 + 7*m + 9. Let k(l) = l**2 + 2. Let q(i) = -f(i) + 4*k(i). Is 6 a factor of q(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200851987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1425132088 to the nearest 1000000.\nAnswer: 1425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -77*v - 1075. Let j be a(-14). Let u be 0\/(1 + 1) - -1. Let i be 10\/14*8\/(-20). What is the nearest to i in 4\/17, j, u?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + 6*(-1*sqrt(960) - sqrt(960)))\/(sqrt(10)\/(-2*-1*sqrt(2))).\nAnswer: -176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = 5*j - 0, -4*j + 171 = 5*t. Suppose -3*s - 1 = -3*g + 17, -5*g = -4*s - 27. Calculate the remainder when t is divided by 6 - g - 4*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265704 is divided by 6480.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*b**2*s**5 + 253*b**2*s**3 + 2*b**2*s**2 - 3*b**2 - 2*b*s**2 - 49*b + 12 wrt s?\nAnswer: -1500*b**2*s**2 + 1518*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1084 and -169\/84.\nAnswer: 22764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -3413848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l**2 + 17*l + 8. Suppose -2*m + y - 43 = 2*m, 4*y = -2*m - 26. Let w(z) = -5*z**2 - 6*z - 3. Give m*w(o) - 4*x(o).\nAnswer: -o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -861800 - 12.51?\nAnswer: -861812.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 548502 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.876*-243.\nAnswer: -3371.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120758?\nAnswer: 2, 3, 186793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.024 and -0.052.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770*r + 1747*r = -920. Calculate the greatest common factor of r and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 2 x when four letters picked without replacement from xexxeeeexexehhe?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppppphp. Give prob of picking 1 p and 1 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1768311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 27 = 7*f, -201*g - 38 = -191*g + 2*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 3. Suppose -2*y = -7 - h. Suppose 5*g + 13 = -l, -g - 3*g - 20 = -y*l. Solve 0 = -3*w - l*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 142 (b) 0.03 (c) -68 (d) 1 (e) -592 (f) 2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-44))\/(-2)*11*-1. Let g = -2 + 4. Is a <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 26 = 14*o. Let q be o\/30 - (-2)\/24*-4. What is the second smallest value in -1\/3, 0.1, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - -805 - ((-22)\/14 + (-15)\/35). What is the highest common factor of 1484 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.014\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 9 - 10)*(18*r - 6*r**4 - 18*r).\nAnswer: -186*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 27. Let s = -10 - -21. Let i be l(s). Suppose i = x + 2*q + 3*q, -4*x + 3*q = 5. Which is smaller: x or 5\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose -5*r - 2*u - 1 + a = 0, -4*u = -2*r + 14. Let l = r - 1. Solve -15 = 2*b - y, -b + l*y = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4053 and -2.\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 29, -1, -20 in descending order.\nAnswer: 29, 1, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-203)\/(-4) + (-3)\/12. Let n = f - 25. Let m = 1115\/12 + -445\/6. Calculate the common denominator of m and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 8 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/235 and 46\/423?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqgiiiiiqiiqq. What is prob of picking 1 q and 1 i?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 6*w - 110 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (36\/(-90))\/((-1)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254bc8 (base 14) to base 8.\nAnswer: -4706014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Solve 6 = -3*g + 3*r, -4*g + 5 + 11 = z*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*k - 10 = 0, 5*c - 2*k + 8 = 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -237.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + 3 - sqrt(288)) + (1 + sqrt(450))**2.\nAnswer: 30*sqrt(2) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 0.46. Let n be (-234136)\/7770 - (-60)\/2. Which is the nearest to n? (a) 2\/13 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 174*r + 2640. Determine d(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81139734 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggizziziizzi. Give prob of sequence gig.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31479, -125348, -281787, -500790, -782351?\nAnswer: -1126464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*w - 59*w - 50*w in the form x + v*w and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -22*a - 44. Let w be y(-2). Suppose -2*z + 2*d + 18 = 0, -3*z + d + 4 = -13. Solve 2*p - 4*p + z = w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 1 - 4 - 6*b + 0*b**3 + 0*b**3 + 7*b**2. Let k(q) = -8*q - 282. Let m be k(-36). Calculate p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/35*(-21)\/18*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -482 + 474. Let f(x) = -x**3 - 6*x**2 + 21*x + 32. What is f(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 5*q = -34, 144*q - 147*q = -4*d + 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -5 + -1 + 768\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1329282, 1329289, 1329296?\nAnswer: 1329303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295371 and 23310?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 641 = b + z, -4*z + 671 = b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 18*k - 742. What is the remainder when k is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j + r = -108*j - 33, -26 = 2*j + 2*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 2. Let o(j) = -4*j - 4*j + 7 + 5*j - 2*j - 5*j. Let u = 16 - 2. Determine u*y(h) - 4*o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 747200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 108\/11*x**2 + x**3 - 141\/11*x = 0.\nAnswer: -1, -2\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t + 31*t - 1968 = 168*t - 18808 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11807.\nAnswer: 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 3*w**2 - 242*w + 231*w.\nAnswer: 2*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 6) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 475 + 19*c - 476 - 7*c + c**3. What is the tens digit of r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 1 (b) -4042 (c) 2 (d) -0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 15*o**4 - 31)*(-4*o + 3*o + 3*o) + (2*o + 5*o**2 - 2*o)*(3*o**3 + 0*o**3 - 5*o**3).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24)*220*-6*(-1)\/30.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*y = -3*u - 17, 0 = -3*u - 2*y - 11. Let t(i) = i**3 + 5*i**2 + 3*i - 4. What is the units digit of t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 5*q)*(0 - 2 + 4)*(-92 + 617 + 150) in the form j + w*q and give w.\nAnswer: -6750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3568*o**2 - 2 + 2 - 3569*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-2)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 307517049 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2921 and 47.\nAnswer: 137287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1baad6 (base 14) to base 5\nAnswer: -223134423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -12, -2\/11, 3, 0.1, 88, -8?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 68, 163, 298, 473?\n\"Answer: 20*p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9612 and 30?\nAnswer: 48060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/111 or 1?\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r**2\/9 + 102778*r\/9 - 400760\/3 = 0 for r.\nAnswer: 129\/11, 4660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*k = 221, -2*k = -z + 3*k + 68. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 + 40*o**2 + 36*o wrt o.\nAnswer: 6*o + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 41. Let d be (-204)\/m + 1\/2. What is the highest common factor of d and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 13*n + 6*n + 41*n**3 - 7*n - 13*n + n - 61*n**3.\nAnswer: -20*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 3\/((-6)\/4) + 66 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 14*u + 22. Let y be (16\/(-24))\/(1\/21). Calculate w(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3539, 1, 52121, -1 in descending order.\nAnswer: 52121, 1, -1, -3539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*q + 11 = 0, 18*j - 3 = 15*j + 3*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176\/465 - -2\/93. Let p = 1 - 1.3. Sort 0.5, p, b.\nAnswer: p, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a8194 (base 11) to base 15\nAnswer: 31907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26886 - -38581. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 2*d - 91. Determine f(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41353.5034 to the nearest ten.\nAnswer: 41350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 112?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47535, -190569, -429043, -762957, -1192311, -1717105?\nAnswer: -2337339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*s + 134*s - 2*t - 9, -t + 28 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/(-6*(-5)\/75). Let n be 1 - -2 - (3 - a). Solve -n*c = -6, -3*c + 5*c - 4 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -5. List the prime factors of (o - -5) + 1\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 6090*i - 311272.\nAnswer: -2*(i + 52)*(i + 2993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*y**5 - 4*y - 1126 + 1126 + y**5 + 0*y**4 + 0*y**4 + (1 - 1 - y)*(3*y**4 - y**4 + 0*y**4).\nAnswer: -21*y**5 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000172 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8974425*q**2 - q**3 + 8974425*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(4*k**4 - 5*k**4 - k**4) + 2*k**4 - 3*k**4 - 3*k**4.\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103.92 + 103.82. What is the closest to 0.1 in p, 12, 3\/4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*x - 316*x = -761 + 297 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -452. Let q be l\/14 + (-1)\/2. Let g = 37 - q. Sort -4, 3, g in ascending order.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, n: 3}. Give prob of sequence zn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*((-15456)\/(-16100))\/(1812\/10)\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3793035 and -113\/12137712.\nAnswer: 60688560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 230.677505 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 8\/15 (c) 3\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (-7)\/((-4)\/(-596)*1). What is the greatest common factor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -10. Let x = -9 + g. What is the remainder when (-1)\/(x - (-9)\/6) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -465 + 120*h**4 + 28*h**3 + 61*h**4 - 173*h**4 wrt h?\nAnswer: 32*h**3 + 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002576558478 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/2 - 20119*a**2\/2 - 602751*a\/2 - 1627209\/2 = 0. What is a?\nAnswer: -20089, -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 0*i - 2*i + (7 - 2 + 7)*(2*i - 1 + 1) + i - 2*i - 3*i to o + v*i and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1.35.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 144, 307, 536, 831?\n\"Answer: 33*b**2 - 2*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/191 - 1723\/382. Put 1\/3, 3, h in decreasing order.\nAnswer: 3, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121210112021222 (base 3) in base 8?\nAnswer: -42033144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/(3\/(-72)*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 610*i + 11. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0029 * 0.32\nAnswer: -0.000928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847) + sqrt(847) + sqrt(7) - sqrt(63)*1)**2 + -4*sqrt(112) + sqrt(14)\/(sqrt(2) + sqrt(8)\/sqrt(4)).\nAnswer: -31*sqrt(7)\/2 + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 283348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 765, -0.25, -3\/4, 2, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -60*m**5 - 24424*m**4 - 3306428*m**3 - 147818400*m**2 + 141087488*m + 10061824 = 0?\nAnswer: -136, -1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.852 to 2 decimal places.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32699 - 23138. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -58. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 - 2*m - 1. What is the tens digit of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 106979851.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084430 is divided by 616882.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(200)\/sqrt(4) + sqrt(50))*5)\/sqrt(10) + -2*sqrt(225)\/sqrt(5).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180 + 71. Let p = 45 + x. Let k = p + 63.99999988. What is k rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.456 and -0.078.\nAnswer: 0.035568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32183 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 650199678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11802 and 615363.\nAnswer: 345834006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 22*h + 1800. Let m = h + 104. Suppose -m*c + 670 = 2*s + 3*s, -2*s - 2*c = -266. Calculate the remainder when s is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8585 - 0.0755. Let l = v - -0.037. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4\/6 + 5*z**3\/6 + 10*z**2 - 70*z\/3 + 40\/3 = 0 for z.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 30*o + 64. Determine l(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 5*l**4\/24 - 11*l**3 - 5*l**2. Let x be -19*(-6)\/4*66\/99. Let t be s(x). What is the greatest common factor of t and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851768833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -26 + 2. 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 closest to 6 in -9\/5, -3, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612106 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: Let q(b) = 2*b**2 + 7*b - 3. Let y(z) = 6*z**2 + 19*z - 9. Let j(m) = 11*q(m) - 4*y(m). Let x(k) = -17 + 13 + 8 - 5*k**2 + 4 + 2*k. What is 8*j(h) - 3*x(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, i: 4, p: 2}. What is prob of picking 2 i and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(65)*4)\/(sqrt(80)*-2*-4).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10 + 17*k**2 - 1 - 2*k**3 - 2 + 15*k + 3*k**3. Let j be c(-16). Suppose t + 4*t + v = 44, -5*t - j*v + 52 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1308 + -0.0308. Is o at least as big as 41.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 409 + -401. Suppose -d*j + j = -35. Solve 0 = -k - j*p - 23, -5*k - p = -3*k + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/6 + 13*b**2 + 4537*b. Let i(h) = -6*h + 3. Calculate m(i(k)).\nAnswer: -72*k**2 + 72*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 93*m - 39. Let j be g(46). Solve j = -n + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 - 40*o**3 + 13*o**3 + 17*o**3 + 93*o + 9*o**3 in the form p + j*o + k*o**3 + z*o**2 and give j.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Let c = 5.2 + q. Let k = -2 + c. Put 1\/3, k, -4\/11 in descending order.\nAnswer: 1\/3, k, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268400398*o**2 + 330038691*o wrt o.\nAnswer: 536800796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 12) to base 6\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 44*t = -16. Is 11 a factor of 1541\/(-23)*((-2)\/t)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 9*d - 492. Let v = d + -1. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33273 (base 10) to base 16.\nAnswer: -81f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7051815 to the nearest integer?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122201?\nAnswer: 122201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7529 - 8354.1. Let j = c - -825. Which is bigger: 1.1 or j?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17284 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 86*p**2 + 6*p + 5. Let k be m(-2). Let d = -172 + k. What are the prime factors of d?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06489, 0.05, -0.9, -427?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 568 = -4*w, b + w - 6*w = 305. Let u = -171 + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1.7 (c) -3\/5 (d) 2\/9 (e) 0.49 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (3 + -8) - -2. Suppose 0 = 3*y + t - 11, -y = 2*y - r*t - 3. Solve -x = 5*l - 7, -y + 1 = 4*l - 3*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2778905917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -126494099 times 6\nAnswer: -758964594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 417886430 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktktkk. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49 + 4 + 2\/1. Differentiate 30*n**3 - g*n**3 + 24*n**3 + 1 wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-545*d + 12 + 273*d + 274*d).\nAnswer: -4*d - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74709031.\nAnswer: 37, 313, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*v**4 - v**4 + 5*v**4 - 2*v**4 + (-v + v + 2*v)*(-3*v**2 + v**3 + 3*v**2).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10832 - -11177. Solve 6*g - 75*g + i = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k - 8*k + 8*k)*((-1 + 2 + 1)*(k + 0*k + k) - 3*k - 6*k - 9*k).\nAnswer: -182*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 362088213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 17*i + 14. Let x be c(-7). Let j be (-8)\/10*(-35)\/x. Let d = -70.3 - -70. What is the second biggest value in -0.1, -0.5, j, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 7) in base 16?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 565764275 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4 + 27*z**3 + 22*z**4 + 52*z**2 - 14175*z - 1082*z**2 - 185*z**2 - 11*z**4.\nAnswer: 3*z*(z - 21)*(z + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1 + 0 + v + 6. List the prime factors of u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6805, 13833, 21077, 28537, 36213, 44105?\n\"Answer: 108*n**2 + 6704*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lvlzzzyzlllzlllvyz?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 7, y: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.832 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4432655.\nAnswer: 5, 43, 53, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 10*y - 7. Let j be (-8)\/(-36) - (-249)\/(-27). Let n be u(j). Let m be (-4)\/(-6) - n\/(-6). Solve q + m = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let d = -335 + 325. Put 0.5, g, d, 1 in descending order.\nAnswer: 1, 0.5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/70 + (-69)\/(-5). What is the greatest common divisor of f and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732585557?\nAnswer: 11, 53, 1256579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 33 = -2*a - 3*p, a - 3*p = 6. Suppose -2*v + 5 = q, 5*v - a + 3 = 4*q. Solve 2*x + 4 = -3*d + v, 3*x - 2*d = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1114, 2, -5, 10, 3 in descending order.\nAnswer: 10, 3, 2, -4, -5, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -4\/5, -2, -10\/9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**5\/5 - 229*l**4\/4 - l**3 - 31*l + 269. Find the third derivative of b(n) wrt n.\nAnswer: -48*n - 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*a - 6 + 19, -3*j + 3*a + 39 = 0. What is the remainder when 41 is divided by ((-1)\/1 - 1) + j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 5 = -5*u - 2*c, 4*c = 3*u - 3. What is the second derivative of -4*w**u - 410 - 6*w + 410 wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 78*y - 1021. What is c(10)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 52*l + 48.\nAnswer: 4*(l + 1)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86632 and 204?\nAnswer: 259896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let l(c) = 14*c - 8. Let n(x) = -3*h(x) + l(x). Let d(a) = -5*a + 4. Let p(y) = 11*d(y) + 4*n(y). Let b(k) = 13*k**2. What is b(p(z))?\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * -928.\nAnswer: 62176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.034 + -0.266. What is the smallest value in -1, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 53 = 3*f + 4*x, -231 = -11*f - 5*x for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.3653032 to 0 dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20900 + 21438. Is s < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + s**2 + s**2 + 764 - 2*s**2 - 2838*s - 766 as b*s + q*s**2 + f and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omtkmmcckmktkkkccskk. What is prob of sequence kso?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159746*m**2 - 4*m**3 + 72 - 159746*m**2.\nAnswer: -4*m**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 261 = -x, 0*x = 5*o + 3*x - 650. Let g = o - 70. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-1*1\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -2*d + 7*d, -4*x = d + 5. Let y be 4 - d\/(0 + 3). Solve o - y = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 19 + 10\/3*w**3 + 0*w + 0*w**4 + 7\/5*w**5 + 0*w**2. What is the third derivative of h(r) wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - z + 5 = 0, 6*o + 9 = 2*o + z. Let b = -4406 - -39595\/9. Find the common denominator of ((-1)\/5)\/(o\/66) and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 611, 1341, 2363, 3677, 5283, 7181?\nAnswer: 9371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1771, -3401, -5029, -6655, -8279, -9901, -11521?\nAnswer: -13139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 15648369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 49*i**2 - 30*i + 31. Let v be (18\/15)\/((-1)\/10). Let x be (-4)\/v - 304\/12. What is the tens digit of k(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*g - 314*g = -645*g - 70 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 - 420*p**3 + 420*p**3 - 5 + (p - p - 4*p**5)*(4 - 5 - 2).\nAnswer: 7*p**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - y = -p + 44, 2*y - 47 = -5*p. Let x(v) = 2*v + 2. Calculate x(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*s**3 + 121*s**3 + 3*s - 5*s + 2*s.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-29 + 29 - 3*v)*(4 - 3 - 5) + 1 + 2*v - 1)*(-4 + 0 + 5 + (-3 + 3 + 2)*(5 - 1 - 6) + 37 - 56 + 27).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 + -242. Let j be 1 - (-2 + 10\/6). What is the second biggest value in j, 0, -5, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50613*c**3*f**2 + 69252*c**3*f - 2*c**2*f**2 - 4*c**2*f wrt f.\nAnswer: -101226*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 49 (b) 206 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 - 205.4. Which is the third smallest value? (a) 4 (b) -0.6 (c) y (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 - 89 - 1307*i + 173 - 704*i in the form b*i + c and give b.\nAnswer: -2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*2\/(-12)*6\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + 81 + -81\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = m + 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 7:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/27 and (-12)\/(1 - -2) + (-434)\/(-48).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758504307.\nAnswer: 3, 11, 383, 60013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r*u**3 + 631674*r*u**2 - 2*r*u + 7*r + 21579*u + 298 wrt u?\nAnswer: 24*r*u + 1263348*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s**2 + 0*s)*(-s + s + s**2) - 28 + 17 - 4*s**4 + 18.\nAnswer: -5*s**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-6)*(-2 - 1). Suppose -n + 588 = h*n. Is 42 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15969 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 409, 888, 1551?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, 28, 1183, -3\/2, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 455442601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from rltuy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (0\/3 + 0). Suppose j = -3*f - t + 6, -f - 5*t = -t - 2. Solve 2*z + 14 = -f*b, 0 = 3*b - 6*b + 5*z + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*-1 + sqrt(5200) - sqrt(5200) - (sqrt(52)*-1*5 - sqrt(52)))\/((-6*(sqrt(100) + sqrt(100)*2) - sqrt(100)) + sqrt(100)).\nAnswer: 2*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azka when four letters picked without replacement from kkkzzkakczkknckaknk.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22837418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23\/5)*q)\/q**5 assuming q is positive.\nAnswer: q**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19370 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 6. Let r(d) be the third derivative of -d**3\/6 + 12*d**2. Let q = -1 - 0. Let v = q - -2. Give v*m(o) + 5*r(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 5*d + 3. Let n(v) = v**2 - 10*v + 15. Let p be 12*(-5)\/(100\/(-15)). Let a be n(p). Give k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258.8 + -257.8. Let h = 16 + -7. Let l = h + -7. Which is the closest to u? (a) -4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + q**2 + q**2 + (-3*q + 2*q + 0*q)*(7*q + 9*q + 5*q) + (0 - 2*q + 0)*(-4*q + 3*q + 2*q).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4403 (base 5) in base 16?\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15. Let c(t) = 3*t**2 + 23*t - 2. Let h(o) = c(o) - 2*x(o). Calculate h(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(-5))\/c*c)\/(c*c**(-1\/7)*c))\/(c**5\/c**(-1)) assuming c is positive.\nAnswer: c**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - g = -3, 0 = -4*g + g - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -191. Suppose 18*a + 476 = 14*a + 11*a. Let i = a + j. What is the remainder when 26 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*c - 7. Let k be ((-6)\/4)\/((-3)\/2). Let o be 8\/(-2) + 7\/k. Are c and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - p**2 - 4*p**2 - 2*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5, -2*l + 4*s = -5*l + 26. Suppose -d - 27 = 4*b, -l*b - d = 2 + 13. Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 327469375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2 + 2 + 72*s**3 + 96*s**3 - 35*s**3 + (2*s + 0 + 0)*(s**2 + 0 + 0) - 1 + 2*s**3 + 1.\nAnswer: 139*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538*b + 164*b**4 - 654*b**2 - 143*b**2 + 539*b wrt b?\nAnswer: 3936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112b402 (base 13) to base 9.\nAnswer: 10836803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514283, 1028732, 1543181?\nAnswer: 2057630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*h - 2*v + 45, 5*v = 25. Let j be h\/(-6) - 1\/(-3). What is the first derivative of -13*f**j + 25*f**4 - 15*f**4 - 4 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 3*u - 2*u)*(174*u - 9*u - 15*u)*(-1 + 0 - 1) as b*u**2 + y + k*u and give b.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37173, 37151, 37127, 37101, 37073?\nAnswer: 37043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/28314*-1507 - 22\/(-9).\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2*a + a - a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmummvmvaamvaumm. What is prob of picking 2 m?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 2*g, 0 = 5*h + 5*g + 8 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*m = 7*m. Factor -28 + m*f**2 + 28 - 3*f**2 - 15*f.\nAnswer: -3*f*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16679509 + -16680650.8929. Let u = -1142 - f. Let q = u - -0.114. What is q rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018156 rounded to five decimal places?\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/7 - 486*q**3\/7 + 124464*q**2\/7 - 5405850*q\/7 + 5281875\/7 = 0 for q.\nAnswer: -313, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 31 = 1964*v - 1969*v, 2*v - 3*k = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1745 + -1756. Let r(m) = -2*m**2 + 7*m - 6. Let l(p) be the first derivative of 4*p**3\/3 - 13*p**2\/2 + 11*p + 3. Give n*r(x) - 6*l(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*135*9\/486?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f + 12. Let b be -2*(-4)\/8*f. Suppose 0*y = -x + 2*y + 4, 3*x - b = 2*y. Solve x = -j + 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 38 = -2*i, -p - 2*i - 25 + 43 = 0. Solve 12 = -4*l + q, 3*l = -4*q - 14 - p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 452956823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -337797, -337716, -337581, -337392, -337149, -336852, -336501?\n\"Answer: 27*o**2 - 337824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 599281715 * 0.5.\nAnswer: 299640857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11367 + -11367.3. Sort -7\/4, -17\/5, 0, d.\nAnswer: -17\/5, -7\/4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -8 + (-32 - (16 - 2) - 8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((6080\/(-57))\/8)\/((-5)\/((-15)\/(-1)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*d + 37. Factor 6*w**5 - 9*w**5 + 20*w**4 - 2*w**d - 20*w**3.\nAnswer: -5*w**3*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 31\/32775691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 307*m**2 - 1. Let h(f) = -4*f**2. What is h(x(u))?\nAnswer: -376996*u**4 + 2456*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 7*r - 3. Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268 + 288. Let f(h) = -h**3 - 5*h**2 + 8*h + 8. Let o be f(-6). Let p = 4 + o. Solve -4*w - q = -5*w + 4*r, p = 2*w - 4*r - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -76*i**3 - 6*i**2 + 11*i + 28. Is 24 a factor of w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-5 - (-5 + 3)) + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783895*x - 783879*x = 464 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 16754235?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-14)\/147)\/((-3)\/18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6 + -4 - 26 - -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 369?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttynmemnmnd. Give prob of picking 2 m and 2 t.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/2))**33\/(q\/q**(2\/9))**(-3\/22) assuming q is positive.\nAnswer: q**(-541\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 7*j + j**3 - 3*j**2 + 4*j**2 - 13*j - 9. What is the units digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170\/3 or -1?\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55\/168 + -1\/168. Let z = -54 + 54. Which is the nearest to z? (a) 3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2)*4)\/(-13). Let u = 0 - -1. Let m = -103 + 929\/9. Put m, b, u in decreasing order.\nAnswer: u, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -3\/4*k**2 + 0*k - 3\/8*k**4 - 5\/4*k**3 - 80. Factor m(b).\nAnswer: -3*b*(b + 2)*(2*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppppsrpp. Give prob of picking 1 s, 1 p, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -0*v - 10920. Let z be 1\/2 + v\/16. Let c = -52 + z. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12 - 1096*k + 309*k - 10 in the form z + x*k and give x.\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3628 divided by 233\nAnswer: 3628\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 1, d: 1, o: 1}. Give prob of picking 1 o, 1 d, and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4937271.\nAnswer: 3, 1645757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.34 - 0.24. Let k = 3 - d. Which is bigger: 2\/9 or k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -187 in 0.05, -1\/11, 2\/503?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.28.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -22, -70, -136, -220?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -0.4, 3, -39, -78.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = a + 2*f, a = -f + 1. Let x be ((-10)\/8 - -2)\/(a\/(-56)). What is the smallest common multiple of (-133)\/x - (-1)\/(-3) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 + 63*h + 705. List the prime factors of d(-17).\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = -2*a + 4*c, -a = -3*c + 7. Suppose -6*g + 5*g + 6 = a*y, 5*y = 5*g. Solve -l - g*i = 0, 3*l - 3*i = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129725395?\nAnswer: 5, 25945079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 1 i when three letters picked without replacement from {i: 5, y: 1, s: 7, m: 6}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 2*m + 4)*(493 + 620 - 1388).\nAnswer: 550*m + 550","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279962875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*x**5 - 2 + (2*x**2 + 4*x**2 - 4*x**2)*(-2906*x**3 + 3956*x**3 - 2447*x**3).\nAnswer: -2796*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*j + 603, 4*j - 2*p + 198 - 1396 = 0. Is j + (-4 - ((0 - -4) + -4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:41 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15997 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1131*n + 12445. Give z(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.361992688 + -1.362. What is z rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 + 1065*o**2 + 47880*o - 974700 = 0.\nAnswer: -114, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a - 2. Suppose 0 = 7*q - 6*q - 8. What is the remainder when z(q) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 27. Suppose 0 = -m*x + 1931 - 615. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9548? (a) -3 (b) 0.8 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 3)*(1 - 3 + 1) + 1 + 1 + 0 + 3 - 3 - 2)*(3 - 3 + 2*c**4).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssjsjjfsjj. Give prob of picking 3 s and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 27*q + 3283. Let x be j(107). Solve 6172 - x = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 208684*o + 4 - 208082*o.\nAnswer: 602*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/34 and -39\/9670.\nAnswer: 164390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09774*0.02\nAnswer: -0.0019548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = b. What is the hundreds digit of (-4 - -2)\/b*101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4891974*b**3*o**2 + 791*b**3*o - 2*b - 686*o wrt o?\nAnswer: 9783948*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 10*a**2 - 5*a + 12. Let g be w(-11). Let z = -29 - g. What is the remainder when 96 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p + p**2 + (2*p**2 + 5*p**2 - 4*p**2)*(2 - 5 + 5) + 2*p**2 - 1 + 2*p**2 - p**2.\nAnswer: 10*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaemeaawaeaaaw. What is prob of sequence eem?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 43. Let v(h) = h**3 + 4*h**2 + h - 3. Let x(g) = -g**3 - g**2 + 1. What is k*v(b) + 3*x(b)?\nAnswer: -2*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2) + (-28)\/35)\/(-116*(-6)\/80).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16 + 14*m - 4 + 2*m. Let b(q) be the first derivative of -q**3\/3 + 17*q**2\/2 - 21*q - 2. Let u(j) = 4*b(j) - 5*z(j). Solve u(p) = 0 for p.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:44 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-21)*h*h))*h**(-7\/3))**(3\/23) assuming h is positive.\nAnswer: h**(-64\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from lilaizliziziiaiaaiz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -327, 1, -12, 2 in decreasing order.\nAnswer: 2, 1, -12, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*y - 5 = 0, g = -3*g + 4*y - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 515, 399, 213, -43, -369, -765, -1231?\n\"Answer: -35*i**2 - 11*i + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 3*t - 2. Let m(i) = i - 1. Let u be m(3). Suppose -u*h + 4*h = -6. What is the units digit of a(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -28*p**3 + p**2 - 2*p + 1. What is t(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 20*u**2 + 3. Let w be j(-10). Suppose -5*b + 4*f - 29 = -10*b, -w*b = -3*f - 12. Solve b*s - 8 = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 4*a**2 - 13*a**2 + a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 8*z - 11. Let g be m(-9). Let c = g + 33. Let n(p) = -p**2 + 8*p - 6. Calculate the smallest common multiple of c and n(4).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/429 and 35\/579774.\nAnswer: 6377514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 29. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y - 4. Let f be u(5). Let a(o) = -5*o - 1. Calculate the common denominator of a(f) and -10\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 2) + 10 + -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*o + 328*o = 828 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 12*s + 39. Let g be p(5). What is the derivative of 3*t**4 + 43 + 82*t**g + 12*t**4 wrt t?\nAnswer: 388*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:30 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4475 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 4*u + u + 253496 = 0, -25347 = -k + u. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123471 times 0.5?\nAnswer: -61735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4212\/91)\/(3306\/(-3857)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500007.4l to millilitres.\nAnswer: 500007400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 2, s: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:37 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6*y - 9)*(-1 - 1 + 8)*(-2*y**2 - 2*y**2 - y**2) + (1 - 1 + y**2)*(y - 2*y + 4*y) - y**2 - y**3 + y**2 - 2*y - y**3 + 2*y.\nAnswer: -179*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 5*o**2 + 4*o - 1. Let r be k(3). Suppose -6*s + r = -s. Suppose 0*y = s*y - 4. Is y at most as big as -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1466604 and 651824.\nAnswer: 5866416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5533323\/8 + -696761. Let d = b - -5087. What is the common denominator of -3 - (639\/(-6))\/3 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9156 and 2858961?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, i: 7, n: 6}. Give prob of picking 1 i and 3 y.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61079196 rounded to the nearest 10000?\nAnswer: -61080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 22138.95 grams?\nAnswer: 0.02213895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*p + p - 175113, 5 = 5*i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 26 - 14 - (-4 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-4)\/3). Let t be ((-6)\/(0 - 24))\/((-18)\/(-8)). Let n = -2 - -3. Sort s, n, t.\nAnswer: t, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -263 or -264?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1186022906.\nAnswer: 1186022906.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2512 and 25748.\nAnswer: 102992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 2*h + 57 = 0. Let l(z) = 2574*z**2 - 11*z + 4. Is l(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/5)*i\/(i\/(i\/(i**(4\/9)\/i)*i))*i*i*i*(i\/i**(14\/9)*i*i)\/((i*i*i**(2\/61)\/i)\/i) assuming i is positive.\nAnswer: i**(2003\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-6)\/(-11) - 270\/495)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4887*b**3 + 376*b**2 - 5?\nAnswer: 29322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164\/29 + -4835\/696. Calculate the common denominator of z and -71\/123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -0*s. Let j = 254 - 232. Calculate the least common multiple of j and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.546922 days to minutes.\nAnswer: 2227.56768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from {o: 3, l: 2, j: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -4 (b) 0 (c) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 594*j**2 + 1195*j + 1788 = 0.\nAnswer: -596, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189 or -160?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -0.4, 955338?\nAnswer: 955338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 1, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-6)*(1 + -1) + 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l - 137 + 13785 = 515*l - 7700 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-10))\/((-46)\/115))\/((-56)\/(-112)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*f*k*m + d**2*m - 205*d*k - 25*d*m - f with respect to k.\nAnswer: 2*d**2*f*m - 205*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 4. Let u be k(7). Suppose -4*a - 12 = -3*a. Is (a\/(-15))\/(1\/u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -2\/3, 5, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.69 - -63. Round h to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 15) in base 9?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -20\/7, -0.4, -2.9, 3, 5 in decreasing order.\nAnswer: 5, 3, -0.01, -0.4, -20\/7, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(1331) + 4.\nAnswer: 2 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 190*w**3 - 6*w**2 + 40*w - 39. Calculate s(1).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -2\/11, -16.1, -2\/29 in decreasing order.\nAnswer: -2\/29, -2\/11, -5, -6, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -2*n + 4*j - 7 - 3 = 0, 0 = 4*n - k*j + 8. Find the second derivative of 3*c**n + 5*c - 10*c**3 + 4*c**4 + 7*c**3 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 28 + 28)*(-26*l**2 - l**2 - 105*l**2 - 3*l**2 + 2*l**2 + 0*l**2 + (-2*l - 4 + 4)*(-3*l + 6*l - 2*l) + l**2 - l + l - l**2 + 0*l + 0*l).\nAnswer: -945*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -713a - -a?\nAnswer: -7130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -22*n**2 + 4*n + 4. Suppose 0 = 70*j - 71*j - l + 106, -l + 7 = 0. Let i(u) = -550*u**2 + 99*u + 99. What is j*c(z) - 4*i(z)?\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 537\/7. Let h = 5 + -7. Let q = -0.2 + 0.6. Which is the biggest value? (a) q (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62008 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:27 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(670\/5695 - 424\/(-153)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378515 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40839342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkvkkvvvk. What is prob of picking 2 v and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 9775140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2716 and 478695.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/6*12\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v - 441830 + 53806 = 0. List the prime factors of v.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-963 - -968) + (-97 - 0 - 0).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125430 (base 12) to base 16.\nAnswer: 49224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 570027.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*w - 58*w + 261*w.\nAnswer: 576*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 59. Let s be w(18). Suppose a = 100 - s. Do a and 69 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 6*o = -97*d + 6*o + 2*o + 4*o - 86, -2*o - 36 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -326, -609, -998?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -172. Suppose -172 = -10*l + 228. Calculate the highest common factor of l and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 283, 1185, 2689, 4795, 7503, 10813, 14725?\n\"Answer: 301*c**2 - c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 101\/937979?\nAnswer: 101\/937979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2. Let z(m) = -m**2 + 1498*m - 852. Determine z(n(i)).\nAnswer: -100*i**4 - 14980*i**2 - 852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/9)*s\/s**(3\/7) assuming s is positive.\nAnswer: s**(22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822711598?\nAnswer: 2, 411355799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 - 2.64. Let v = -91.6 - -89.7. Let j = v - a. Sort 4, j, -1.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2132*a**3 - 5*a**2 - 146*a + 139. What is n(1)?\nAnswer: 2120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h**3 + 7*h**2 - 5*h + 11. Let w(l) = -5*l**3 + 4*l**2 - 3*l + 6. Calculate 3*s(g) - 5*w(g).\nAnswer: -8*g**3 + g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 23*w**2\/2 + 80*w + 51. What is the derivative of s(q) wrt q?\nAnswer: -3*q**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)*(-14)\/(-2). Let q(w) = -w**2 - 1. Let t(y) = 9957 + 0*y**2 - 9951 + 8*y + 6*y**2. Let a(c) = 5*q(c) + t(c). Determine a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*s, 0*g - 2*g = 2*s + 4. Let y = -1 + s. Let o = 2 - y. Solve -3 = p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117733, 237648, 359743, 484018, 610473, 739108, 869923?\nAnswer: 1002918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/5 + 360\/(-300). Is 137\/14 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 25 - 15. What is the third derivative of 129*a**n + 564 - 3*a**6 - 564 + 5*a**4 wrt a?\nAnswer: -360*a**3 + 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009307383 to 6 dps.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -1020312002121?\nAnswer: 1020312002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -65, -66, -67, -68?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 0, -w - 2 - 4 = -3*f. Factor -16\/3*u**f + 22\/3*u - 2 - 8\/3*u**3.\nAnswer: -2*(u + 3)*(2*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3\/2 + 9175*z**2 - 146704*z + 586688 = 0.\nAnswer: 8, 18334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -60, -82, -104?\n\"Answer: -22*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -15*j - 672. Let r(z) = 2*z**2 - 13*z + 15. Let v be r(9). What is the highest common divisor of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 greater than -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*z + 2. Let c be 1 - (9 - (-2 + z)). Are c and -6 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 336 - d0?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05483 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*c**2 + 1662872 - 1662872.\nAnswer: 816*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5775 + 5774.8. What is the second biggest value in 2\/7, 2, -3\/4, k, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 13*y - 9*y. Sort y, 3, 227 in decreasing order.\nAnswer: 227, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 6 - (10 + -3 + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741987889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18)\/sqrt(6) - sqrt(3)) + 1 + 1*sqrt(3).\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560009598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1439\/11 - -131. What is the third biggest value in 1\/5, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i + 64. Let v be -1*i\/(-4)*-88. Suppose -v = -5*y + 159. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 13 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1362 + 1374. Solve y*v + 26 = -22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 17 = 3*v, 0 = 3*p - 32*v + 30*v - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 1. Let k(u) = 13*u + 2. Let f(d) = -9*c(d) - 4*k(d). Give f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 25*b + 120. Suppose -259*h + 104 = -255*h. What is the remainder when o(h) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 35, 2069 in descending order.\nAnswer: 2069, 35, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*h + 32*h = 60*h + 19823 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-14)\/(s*s**(1\/15)\/s))**(31\/4))**(-15\/7))**(-44) assuming s is positive.\nAnswer: s**(-71951\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234172509 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-2*sqrt(242)*-1 - 1*(sqrt(242) - (-1 + sqrt(242))))*-4*5)**2.\nAnswer: -633600*sqrt(2) + 13953600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12.5*93.33\nAnswer: 1166.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k - 107. Calculate p(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 13. Let y(c) = 4*c + 0 - 6*c - 3 - 2*c**3 + c**2. Suppose -2*q + 0 + 6 = 0. Let o(u) = 6*u**3 - 2*u**2 + 6*u + 8. Give k*y(v) + q*o(v).\nAnswer: 2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 - 74. Suppose -h - 11 = -3*y. Suppose -70 = -5*p + 5*w, 0*w = p - 4*w - y. Calculate the least common multiple of p and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/156 + (-275)\/(-1001)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 1000.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/2 (b) 391 (c) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*w - 0*w + 27, -3*m + 4*w + 31 = 0. Calculate the least common multiple of 2 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465157 is divided by 232554.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -19*b - 551. Determine i(-11).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6992 and 4370.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(7) + -3 - sqrt(5) - sqrt(605)*-1) + ((sqrt(495) + (-2*sqrt(495) - sqrt(495)) - sqrt(495))\/sqrt(9))\/((sqrt(99) - sqrt(11))*1))**2.\nAnswer: -57*sqrt(5) + 1841\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 3. Let r(j) = -j - 1. Let o(u) = -b(u) + 3*r(u). Let l(y) = y. Let a(p) = -6*l(p) + 3*o(p). Let i(m) = 2*m - 1 + 1. Calculate i(a(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291.1 - 292. What is the closest to f in 3\/7, 3, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(1 + (sqrt(343)*2 - sqrt(343)) - sqrt(343) - (1 + (sqrt(343)*1)**2)) - (-3 + (sqrt(343) + 3 + -2*sqrt(343) + (0 + sqrt(343))*3)**2)).\nAnswer: 84*sqrt(7) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r**2 - 1 + 98*r**2 - 8*r + 1.\nAnswer: -5*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4*q - 7. Let b be u(-5). Let x be b - (0\/1 - 10). Let i = 18 - x. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-60))\/(((-2650)\/(-20))\/53)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 - -233. Let b be (6 - 10) + ((-2)\/o - -9). Let z = -9 - -13. Solve 0 = -z*j + 5*m - 1 - b, -4*j - m + 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4909*p**3 + 25*p**2 - 9*p - 50268673 wrt p.\nAnswer: -14727*p**2 + 50*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + g)*((3*g - 2*g + 0*g)*(5 + 0 - 3) - 5*g + 3 + 10 - 24).\nAnswer: 3*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + 3. Suppose -g + 3 = 4*y, -2*g + 2*y + 15 = 3*g. Let a be 30\/(-9)*g\/(-6). Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17157*k = 17178*k + 2184. Which is greater: 0.23 or k?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -70.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**4 + 1038475*y**3 - 2*y**2 - 675728*y - 7?\nAnswer: -144*y + 6230850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 312461773?\nAnswer: 312461767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, 1, -10 in descending order.\nAnswer: 5, 3, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 45626.259 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 49. Let m = -1 + v. Let n(a) = -a**2 - 10*a - 1. Let w be n(m). Solve -2*s = -h + 2*s - 19, 5*h + 2*s - w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -7 + -5 + -22 + 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 7*d**2 - 7*d - 6. Let c be u(8). Suppose c*y = 6*y - 12. Let a(n) = -n**3 + 3*n**2 - 2*n + 3. Let x be a(2). Solve -y*h - x = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 1 - (-20 + 21)) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let y = -11 + m. Let h(s) = -722*s - 17327. Let k be h(-24). Sort y, k, -0.2 in decreasing order.\nAnswer: k, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**5 + f**3 + f**2 + f - 1. Let m(v) = -4*v**5 - v**3 - 5*v**2 - v + 1. Let u(w) = 2*m(w) + 2*z(w). Find the third derivative of u(o) wrt o.\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w + 2*w - 2*w. Let g(u) = -u**2 - 2*u - 1. Let x be g(-1). Let k(y) = x*y + 12 - y - 12. Calculate k(m(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-208)\/(-168) - 4\/6. Which is the smallest value? (a) u (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 144*z**2 - 44180*z - 477144 = 0?\nAnswer: -94\/9, 1269\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 28. Let m(h) = -186*h - 233 + 481 - 231. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1113644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 536151 divided by -76593\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*w - 3*c, w + 4*c - 6 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-612)*1\/2 + (1 - (-6)\/(-8)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -5*l - 14. Let r(i) be the second derivative of i**4\/12 + i**3\/3 - 2*i**2 + 2*i. Calculate the lowest common multiple of r(-5) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20345711 (base 8) in base 15?\nAnswer: -5a2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520300 and 3870.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 1011771*x**2 + 28331352*x + 198323580.\nAnswer: -3*(x - 337285)*(x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + 8. Let k(d) = 13*d**2 + 13. Calculate 6*k(c) - 11*u(c).\nAnswer: c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 8, -5*i + y = -841. Suppose -9*u + i = -389. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhcucchccccccuc. What is prob of picking 2 u and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989431174115*z**2 - 4*z**3 + 989431174115*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:38 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5040*w + 4031990. Determine q(800).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22264858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 - 3*p**2 + 2*p**2)*(-p - 3*p - 4*p).\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*k - p, -7*p + 2*p = -20. Let a = -8 - k. Let h be 34\/a - (-1)\/(-4). Solve -j + h = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73461955*y**3 - 86046121.\nAnswer: -220385865*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:31 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466 and 70.\nAnswer: 16310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:29 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2930508 and 1764?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3. Let h be (91\/(-28) - -3)\/((-1)\/44). Suppose -3*b - h - 13 = 0. Let s(c) = -6*c**3. Give b*l(y) + 3*s(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -2468*n**3\/3 + 1151*n**2\/2 - 1510. Find the second derivative of l(x) wrt x.\nAnswer: -4936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/15)*b)\/b**(-1\/6)*(b**4)**(28\/3) assuming b is positive.\nAnswer: b**(1177\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5264083 * 4.\nAnswer: 21056332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 3) + 7)*(-304 - -302)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8719?\nAnswer: 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14930*h = 723*h + 85183 + 160601 + 98582 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**17)\/l)\/l*l**(-24) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.034 + -60. Round i to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 652\/4533 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from amuqulma?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmldlld. Give prob of picking 1 d and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37869 = 489*i - 492*i. What is the highest common factor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 20*y + 6 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m + 3\/4*m**2 - 3 = 0. Calculate m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0688149ug in grams?\nAnswer: 0.0000000688149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13650 and 526?\nAnswer: 3589950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -29. Let j be 2\/9 + t\/(-27). Let s(m) = -13*m - 10. Let y(c) = -15*c - 11. Let a(h) = -7*s(h) + 6*y(h). Calculate a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose 4*b - 21 = 5*a, 0 = 5*a + 6 - 1. Differentiate -4 - i**4 + i**b + 4*i**4 + j*i**4 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3*z)\/(z*z**3*z)*((z\/((z*z**8*z*z)\/z))\/z)\/(z\/(z**3\/z))*(z**(3\/2)\/z**(-1\/7))\/(z**6\/(z\/(z*z**(-1\/3)))) assuming z is positive.\nAnswer: z**(-799\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let p be d(-14). Let n be (-2)\/p - (-3300)\/175. Suppose 0 = 23*m - n*m - 856. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104006979.\nAnswer: 3, 11556331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.9 - 8.368352.\nAnswer: -41.268352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 892\/16303727 - -174379789075939\/1858624878. Let z be 4 + -5 - (-1 - -93821). Let l = z + f. Find the common denominator of 69\/4 and l.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 - (-345)\/75.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 326, 528, 734, 944, 1158, 1376?\n\"Answer: 2*i**2 + 196*i + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 5 (b) -0.3 (c) -3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88964.41 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - 0. Let m = -2.3 - f. Let d = -0.12 - m. Sort d, -3, -0.5.\nAnswer: -3, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) + -4 - sqrt(2736)) - (sqrt(1216) + -2 - (sqrt(19) - (sqrt(190)*1 - sqrt(190))\/sqrt(10))))**2.\nAnswer: 84*sqrt(19) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y - 6. Let g(k) = k - 1. Suppose -h = -4*u - 22, 0 = -6*h + 9*h - 4*u - 34. What is h*g(l) - f(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1440 = 17*r. Let x be (-3 - -1)\/(5 - 410\/r). Solve l + 4*l = -5*d - 5, -2*d = -5*l + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13908 - 7908. Is (q\/(-44))\/(-2) + 4\/(-22) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/15 - -59\/60. Suppose 0 = -d + 5, -9*d + 7*d = 2*s - 14. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46841022, -46840995, -46840970, -46840947, -46840926, -46840907?\nAnswer: -46840890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42.91249 kilograms?\nAnswer: 42912490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 + -5 + 0 - (10 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 528, 525, 522, 519, 516?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let h(b) = 1673949*b - 1. Calculate h(l(r)).\nAnswer: 1673949*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:16 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3047 - 3102 + 1120)*(0 + 0 + p).\nAnswer: 10058*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11778 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose a = -3*p - 3. Does -4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-31))\/(35166\/363382)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j + 1. Let f be g(3). Let p = -6 - f. Suppose -591 = -5*h - a + p*a, -2*h + 235 = -3*a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, v: 2}. What is prob of sequence gvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, n: 7, y: 2, e: 1}. What is prob of sequence noyo?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883118 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(448))**2 + -4).\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29627 (base 14) to base 11.\nAnswer: 7020a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 9 + 47 = 0. Let l(u) = 3*u**2 + 20*u + 8. Let v be l(n). Let g be (30\/v)\/(30\/(-16) + 2). Solve 3*k - 2*f = -3*f - g, -5*k - 3 = 4*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 3*i**2 + 3*i. Let j(f) = -11*f**3 + 5*f**2 + 19*f + 15. Let o(m) = j(m) - 5*q(m). What is o(-10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 767 and 2065649.\nAnswer: 26853437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 57*g + 21*g + 6*g + 4*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 2\/5, 6, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13673 and 31820800.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -12*j + 1419083*r - 1419085*r + 367, 2*j - 50 = -2*r for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1*sqrt(1053)*2 + (1 + sqrt(1053))*2 + -4) + 3)*-4)**2.\nAnswer: -74880*sqrt(13) + 6741904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -2, -109, -1, 1 in decreasing order.\nAnswer: 1, -1, -2, -3, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - x + 9. Let q be i(0). Let t = 18 - q. Calculate the highest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648821 less than 109155160?\nAnswer: 112803981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.154 + 0.153847. Round v to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (465\/135 - (-3)\/9) + -4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.44 - 0.44. Let c = 0.07 - 3.07. What is the closest to v in c, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 + 25*u**2 - 13*u**2 + 17*u**2 - 6*u**3.\nAnswer: -6*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (117 + -117)\/(21\/9 + (-2)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157584238.\nAnswer: 2, 7, 41, 281, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -3*t - 3*v, 2*v + 64 = 3*t + 168. Is 23308\/12 + (-24)\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*-4 + 110\/(-46). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954 - 1218 - 2418 = 49*i + 81*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1737 and 82797.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -123\/14, -1\/4, 3\/11, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 3. Let q be u(-4). Let p(g) = g**2 + 3*g - 8. Let n be p(-5). Let b(t) = -5*t**n - 6*t**3 - 2*t - 5 + 5*t + 7*t**3 - 2. Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.5, -0.2, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -256053, -256066, -256079, -256092, -256105?\n\"Answer: -13*q - 256040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*y + 1, -4 = -63*q + 61*q - y. Solve q = -4*w + 3*f, -9 = -4*w - 3*f + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 4*x. Let a be s(2). Let z be (-3 - -3)*(-2)\/a. Differentiate -4*d**2 + z*d**2 + 0*d**2 - 2 - 2 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4835293 centuries?\nAnswer: 580.23516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230\/55 - (-4)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 15 + -10 - (8 + 25)) + -55\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86912*j - 86909*j = -p - 44, 4*j + 67 = -3*p for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2613)\/(-65) - 1\/5. Suppose -7*u + 2*u = -n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/1*-30. Suppose 3 = 5*w + o - h, w = 3*o + 3. Let m = 2 + w. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -7 - 2)*1. Let 4*p**3 - p**u + 4*p**5 - 4*p**5 - 2*p**4 + 4*p**2 - p**5 - 2 - 2*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3632 + 7248*s**2 - 2414*s**2 - 2414*s**2 - 2*s - 2418*s**2 in the form q + c*s**2 + a*s and give q.\nAnswer: 3632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.15. What is the closest to 3 in 1\/3, m, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -22, 0, 2404, 5, 20 in ascending order.\nAnswer: -22, -1, 0, 1, 5, 20, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 77207672 divided by 1\nAnswer: 77207672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 40 = -4*n + 9, -5*n = -4*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n**2 - n - 2. Let g be j(-3). Let t = 3227 - 3351. Let a = t + g. Solve -10 = z - a*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:33 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1222.3 - 1222.6. Sort 3, 18, 1\/3, i.\nAnswer: i, 1\/3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4239994 divided by 341.\nAnswer: -12434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1102 - 2924. Let s = 3799 + t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45004207 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 4*u**2 - 3*u + 1. Let o be p(-3). Let a be (-28)\/(-8)*32\/o. Let h be (4\/a)\/2*10. Solve 0 = -0*b - h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43aa5 + 28a?\nAnswer: -43816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + (0 - -2) + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1) + 6*1. Suppose -2*f = -r*f + 75. What is the remainder when f is divided by ((-18)\/(-4))\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**3 + 4900*s**2 - 5*s + 2256. Calculate g(490).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22828314 divided by 16998?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + p = 13 - 6, -3*h = 2*p. Factor 0*g**h + 6*g**2 - 3*g**3 + 2*g**4 - 11*g**4 + 0*g**2.\nAnswer: -3*g**2*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 14*n - 6. What is the units digit of v(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14*u\/(u*u**(19\/5)))\/(u**14*u)**(2\/39) assuming u is positive.\nAnswer: u**(613\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222794*f**3 + 190812*f**3 + 92035*f**3.\nAnswer: 505641*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = 4. Suppose -6 = b + g*b. Let z be 2*b + 0\/(-2). Put z, 0, -2 in decreasing order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1550005*w - 14. Let p = 7 + -13. Let h(i) = -3100011*i + 29. Let d(q) = p*h(q) - 13*g(q). Let s be d(-8). Round s to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -13. Let l(f) = f + 5. Let x be l(q). Suppose x*d + d = 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 1 + 0*v + 0)*(3689 + 2309 + 868) to the form u*v + x and give u.\nAnswer: 13732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 18 + -17 + -20 - 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1678 + -1670. What is the highest common divisor of p and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 461\/799 - 8\/17. Is -1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23566*k + 2*k**3 + 23566*k + 5588*k**2 - 5588*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815155 divided by 363031.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**35*h)\/h**(5\/4))\/(h\/h**20)**(-30\/13) assuming h is positive.\nAnswer: h**(-421\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*-2*-8. Let x(d) = d**2 + 5*d - 9. Let z be x(-7). Suppose 0 - z = -k. Solve -2*m + 11 = -k*h, -3*m - 3*h - f + 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*-5*(sqrt(44)\/sqrt(4) - sqrt(11)) + 1 + sqrt(1100) + 1 + sqrt(11)*-1)**2.\nAnswer: 54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191784 by 24.\nAnswer: 7991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 19. Suppose 4*m + 22 = -26. Let n = m + s. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:38 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 1223 = 2*x - 1225, 2*x + 2 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335 + -25?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116076?\nAnswer: 2, 3, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)\/sqrt(8) - (-1 + sqrt(147)))**2.\nAnswer: 8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**3 - a**2 + a + 4. Calculate s(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3284711?\nAnswer: 97, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-3) - 4) + -23. Let k = a - -19. Let q be (-2)\/(1\/4*2). Does k = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9342, 37729, 85040, 151275?\n\"Answer: 9462*h**2 + h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -104 (c) 0.01 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9970 - 13490 = -6*x. Suppose 5*r + 515 = x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*p - 5*c, 8*p + 4*c = 49 - 85 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15268912 or -5?\nAnswer: -15268912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 121688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g - 7. Let y be b(-6). What is the units digit of 7*(10\/(-14) - -1) - y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-3 - -5))*(-10)\/(-5). Sort 5, -5, -18, y in increasing order.\nAnswer: -18, -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-312)\/(-364) + 9\/14. Which is the closest to n? (a) 1\/4 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -1048\nAnswer: 19\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2. Let r(t) = 22*t. Calculate r(g(v)).\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658069096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 + 92 = 0. Let b = -10 + o. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 13540*v**2 - 459212*v - 303. Give l(-34).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (-667)\/(-29) - (-738)\/(-33)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = 0, -5*d - 12 = 5*s - 37 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207.5 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -24, 0.1, 0.2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, -22, 8 in descending order.\nAnswer: 8, 2, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 362 - 155 = 9 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + -15. List the prime factors of (14\/(-8))\/(2\/a).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 4*z**2 + 1002 - 1010 - 7*z. Let g be d(-3). What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-2) - 4\/(-8). Suppose l - 5*l + 56 = t*s, 4*l - 38 = 5*s. Solve 4*g + 4 = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -750, -1123, -1494, -1863?\nAnswer: -2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 4*l - 2*l - 6*l + 2*l**2 to h*l + i*l**2 + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-6 + 11))\/(-6). Which is the third biggest value? (a) k (b) -4 (c) 1\/7 (d) 2 (e) -8\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10519 - -28150. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 5*v - 4. Let g be j(3). Let z(d) be the first derivative of -d**2\/2 - 5*d + 20. Let r be z(g). Solve 6*h = r*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -8956.\nAnswer: -8956, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(396)\/sqrt(9))**2 + 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 9*u + 11. Let g be h(-5). What is the units digit of g\/3 - (-222)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y = -81*y + 3. Let k be (-6)\/6 - (2 + y + -8). What is the second derivative of -2*g**4 - k*g**4 - 27*g**4 + 278*g - 286*g wrt g?\nAnswer: -372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2141 - 40677\/19. Which is the third biggest value? (a) -0.5 (b) 1\/7 (c) k (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2, 5, -3 in ascending order.\nAnswer: -3, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1850 + -1848. Suppose -4*y - 8 = -0. What is the closest to y in x, 8, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 173600*v**2 - 1041456*v = 0. Calculate v.\nAnswer: -43394, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -249*g**2 + 1493*g + 9. Give o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-9)*2*(-11)\/308.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8*a*a**(-2\/27)*a**3*a**(4\/7)*a)**18)**20 assuming a is positive.\nAnswer: a**(102040\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*f + 114*f - 1 + 13 = 0. Which is the fourth smallest value? (a) -8 (b) -1\/9 (c) f (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18)*3)\/((sqrt(27) - (sqrt(27) - sqrt(54)\/sqrt(2)))\/sqrt(3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a9a8 - 576?\nAnswer: 7a432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 240\/9 - 2\/3. Suppose 113*r = 101*r + 1560. Calculate the greatest common divisor of r and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5. Let a be z(0). What is the second derivative of -4*o - a*o**5 + 3*o**5 + 6*o wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 4:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 2 - 38 = -16*z. Put -1, z, -99 in descending order.\nAnswer: -1, z, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 2*y - 2*y)*(88*y - 2238*y + 639*y) to p*y + q*y**2 + g and give q.\nAnswer: -1511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Differentiate -1 - 34*u**q - 6 + 34*u**3 + 6*u**4 wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2581 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/15, 4 in descending order.\nAnswer: 4, -0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = -0*v. Suppose -1 = v*l - 5. Let j = -798 + 834. Solve -g = 5*a + 3*g + j, 0 = 4*a - l*g + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950*f + 894*f + 802*f - 3837*f + 987*f.\nAnswer: -204*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -551 in decreasing order.\nAnswer: -3, -5, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/15*(-3)\/(-2). Suppose -2*h - 3*u = -7, -v*h + 13 = -0*h + 3*u. Solve 3 + 3 = h*o, 14 = -m + 4*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/5 - 4*c - 1008\/5 = 0.\nAnswer: -18, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 9*g - 40 + 13 + 6 + 6.\nAnswer: 9*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.429574ml?\nAnswer: 0.001429574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 29.5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.479939 - -0.48. Round r to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82\/3 + -28. Let f = 16 + -21.6. Let l = f + 6. Put -2\/5, l, o in decreasing order.\nAnswer: l, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 0.86?\nAnswer: -0.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(1\/67)\/(a*a*a*a*a**2*a**(-1)) assuming a is positive.\nAnswer: a**(-1007\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*d + 17*d + 5*d)*(2*d - 3*d + 2*d) - 30*d**2 - 12*d**2 + 3*d**2 + 5*d - 5*d + 10*d**2 to the form j*d**2 + i*d + k and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142.6 + 3.4. Let u = 389 - 248. Let m = g - u. Is m greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1496*z - 6624 = -1504*z. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)*3)\/(2*sqrt(9)*2).\nAnswer: 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94695441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/((-1246)\/801)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 1179003?\nAnswer: 8253021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 9}. What is prob of sequence meem?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3961750*l*u**3*w + 328*l*u**2 - 3499*l*w wrt u?\nAnswer: -23770500*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343666495 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32615 + 30893 = 1072*m - 1794 + 7414 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {q: 1, i: 1, z: 1, p: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -65, -141, -247, -383?\n\"Answer: -15*c**2 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 7*q**2 - 7*q - 12. Let a be n(-10). Let v = -853 - a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 3*s - 23 = 20*q, q = s - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2\/3)*h)**(-31)\/((h*h*h\/(h\/((h\/(h\/(h*h**(1\/8)*h)))\/h)))\/(h**0\/h*h)))\/((h*h**(-1\/2)*h)**(-1\/25)*h**(4\/3)*h\/h**3*h*h) assuming h is positive.\nAnswer: h**(-23613\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -520, -1049, -1582, -2119?\n\"Answer: -2*y**2 - 523*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 140 + 30. Suppose -2 = -3*o + a + 15, -2*a = -2*o + 18. Let g = 22 - o. Calculate the remainder when i is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, -132, -971, -2602, -5289?\nAnswer: -9296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1732752 divided by -9168.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 + (-5262)\/(-240) + (-2)\/16. Which is greater: 50 or q?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:33 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = -50 + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 34. Let t be m(-14). Let k be (14\/(-21))\/(21\/t). Find q such that -4\/7 + 2\/7*q**3 + 10\/7*q - k*q**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j\/j**4)\/j*j)\/(((j**(-5)*j)\/j)\/j*j))**(-1\/31) assuming j is positive.\nAnswer: j**(-5\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4410, 4487, 4578, 4689, 4826?\n\"Answer: a**3 + a**2 + 67*a + 4341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) -5 (c) 3\/7 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*v - 174 = -1410, -5*v = -3*q + 914. Suppose q + 2304 = 4*f. Let l = f - 358. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692961 is divided by 7124.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-81))\/(2\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10859.3 - 10860. Which is the biggest value? (a) 9 (b) -1\/9 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.34, 2769, 3 in increasing order.\nAnswer: 1.34, 3, 2769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 - 15*z**2 - 50*z + 202. What is the remainder when ((-335)\/(-20))\/(2\/8) is divided by m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 40. Let w be (s\/(-1))\/((-3)\/3). Let c be (0 - -5)*(2 - -1). Solve 3*t = -2*x - c, -w = 2*t + x + 4*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i + 14. Let a(b) = -3. Let w(k) = -3*a(k) - s(k). Let c(u) = -30*u - 20. Let o(q) = 6*c(q) - 26*w(q). Determine o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221, 210, 187, 146, 81, -14, -145, -318?\n\"Answer: -n**3 - 4*n + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 86. Is 43 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160525 - -74162369\/462. Calculate the common denominator of 19\/294 and u.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210369781 rounded to 3 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 2, o: 1, x: 11}. What is prob of picking 2 x, 1 o, and 1 d?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -268051 + 267522 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - i**2 - 8*i - 1 + 0 - 4. Let b be m(-7). What is the units digit of (-4)\/(-2) + 1*b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510130 and 3743270.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*o**4 - 1 - 3 + 82*o**4 + 2*o**2 + 31*o**3 + 81*o**4 to the form y*o + d*o**4 + r*o**2 + z*o**3 + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 249*r**2 + 2258*r - 8. Calculate a(-9).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x**3 - 61 - 221*x**3 + 36 - 106.\nAnswer: -199*x**3 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + (-3 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 13. Let r be v(9). Suppose -r*a = -a - 5*j - 6, 5*j = 0. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*c + 5892 = -z, -4*c = -2*z - 2946. Is z\/(-12) - (-1)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + m + 29 = 0, 2010*m = 2008*m - 2 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let p be -2*(-4)\/(-3)*o. Suppose -69 = -v + p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 10*c + 29*c.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 14 - ((146 - 57) + -35)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 4073958*k**3 + 1382951886267*k**2 + 96821604348840*k + 1694465416081200 = 0.\nAnswer: -35, 679028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 4\/3*t**3 + 0*t**2 + 45*t + 0. Let s(x) = -x. Give f(s(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -3 (c) -0.4 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let w(o) = 53*o + 4. Let a(k) = -13*k + 2 - 15*k + 24*k - 1. Let v(h) = -6*a(h) + w(h). Calculate f(v(i)).\nAnswer: -231*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 + 2. Let i(k) = 5*k. Let q(j) = -j. Let v(a) = u*q(a) - i(a). Let h(l) = -3*l + 3*l - 2*l**2. Determine h(v(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334 - 158. Let x = -10 + l. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3577 (b) 0.1 (c) 3 (d) -1\/1118 (e) 1 (f) 0.4 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -44?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.9, -1\/8, 12, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 722*o + 15392. What is s(-18)?\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkflpl. What is prob of sequence lffp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 91 - 79 - 2*u)*(-u - 2*u + u)*(-14 + 12 - 78).\nAnswer: -320*u**2 - 7200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(190)*1 - sqrt(190)) + sqrt(190))*-4*-5)\/(((1*sqrt(160) + sqrt(160))*2 - sqrt(160))*-3)*2.\nAnswer: -20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-4)\/(-8) - -8. Let i be 7 - g - -1*2. Find the second derivative of 3*d**2 + 2*d**2 - 2*d + 0*d**i - d**2 wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:53 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 32 + 8 = 0. Let d be ((-6)\/(-30))\/((28\/40)\/7). Suppose -f + 47 = 4*r - d*r, -3*r + f + 63 = 0. What is the remainder when r is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/15621039 and -59\/991812.\nAnswer: 62484156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1840 and -111\/3526360.\nAnswer: 7052720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*u = -3, -3*w + 3*u = w - 12. Suppose 0*q + w = 2*d + q, -4*q - 14 = -5*d. Solve 2\/5*m**d - 2\/5*m + 0 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -3.94. Let b = u + -0.06. Suppose 0 = -4*i + 21 - 17. Put b, -1, i in ascending order.\nAnswer: -1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/3 - 178*n**2. Let v(x) be the second derivative of x**4\/4 + 3*x. Calculate v(w(r)).\nAnswer: 1200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2523*f**5\/4 + 15051*f**4 + 111450*f**3 + 236712*f**2 - 34260*f + 1200 = 0. What is f?\nAnswer: -10, -4, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503974*t**2\/3 + 38414*t\/9 - 20\/9 = 0.\nAnswer: 2\/3761, 5\/201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31121 is divided by 154?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 6*k - 5. Let t be y(-7). What is the third derivative of 148*p**4 + 165*p**t - p**3 + p**3 - 1262 + 1262 wrt p?\nAnswer: 3552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqccq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 2165 = -7160. Let n = p + 555. Sort 2\/7, -28, n, 4 in ascending order.\nAnswer: -28, n, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136629982 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let s(f) = -4*f**3 - 3*f**2 + 3. Let b(m) = 3*m**3 + 2*m**2 - 2. Calculate p*s(w) + 3*b(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 3. Let u = 0.218 + -4.918. Let t = o - u. Which is the nearest to t? (a) 0.2 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-30) - (0 - 13) - (1 + 17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 103*k**2 - 43*k - 3. Let z(c) = 34*c**2 - 15*c - 1. Give 6*x(w) - 17*z(w).\nAnswer: 40*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or 8214?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*s - 9076, 2*p - 27201 = -p + 3*s. Suppose -4*u = 0, 0 = -g - 2*u - 1613 + p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + 20 + (-2 - -1) + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from izizzizziiii?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhee when four letters picked without replacement from sseissnsshesuiu.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-11 - -39 - (77 - 76))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 24. Calculate n(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 149. Let w = a - 25. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(88)\/sqrt(8) + 3 + (sqrt(11)*-3)**2.\nAnswer: sqrt(11) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 5*m - 49, -92*i + 95*i = -m + 31 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -17. Let v(g) = 7*g**2 + 5*g**2 + 3*g**2. Let f(h) = -7*h**2. Let z(o) = d*f(o) + 6*v(o). Let j(x) = x**2. Calculate j(z(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158\/3 - -52. Suppose 0 - 4 = 2*l. Sort y, 0.1, l in increasing order.\nAnswer: l, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 17*u**2 + 14*u + 16. Let c(s) = -4*s**3 - 34*s**2 + 29*s + 33. Let d(p) = -4*c(p) + 9*g(p). Let h be d(-9). Solve 2*m - 5 = -h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:06 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by 15551\nAnswer: 303\/15551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 9. Let a be j(-10). Let t be -1 + a\/(-3 + 2). Calculate the smallest common multiple of 12 and (38 + t)*(-2)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2897464?\nAnswer: -2897465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 25 = 25. What is the remainder when l is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -432, 19, 1348, 3555, 6640?\n\"Answer: 439*a**2 - 866*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18590 divided by 55?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24582 divided by -5\nAnswer: -24582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30011766?\nAnswer: 2, 3, 17, 59, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1468, 4071, 7982, 13195, 19704, 27503, 36586?\nAnswer: 46947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -20\/9, -1\/7, -2?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/49 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*2*sqrt(68))\/((sqrt(32) + sqrt(2048))\/sqrt(8) + sqrt(4)).\nAnswer: sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.13933 * 0.2\nAnswer: 0.027866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 46 - ((-46 - -4) + 4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l + 1. Let i(r) = -5*r - 6 + 0*r - 2*r**2 + 2*r**3 + 11*r. Let h(w) = -i(w) - 6*q(w). Let h(m) = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - 35. What is the units digit of -7*((-153)\/x + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9035727?\nAnswer: 3, 3011909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: e66 (base 15) to base 14\nAnswer: 127c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let t(y) be the first derivative of -3*y**2\/2 + y + 5. Determine 4*s(l) + t(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*h - 102*h + 488*h.\nAnswer: 604*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -30*k**3 - 2*k**2 + 81*k + 390. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p - 28. What is the hundreds digit of m(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 17788*g - 1537142. Calculate z(86).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81567 is divided by 4798.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4)*(-4 - -2). Suppose 4*b - b = -u. Let g = -2 - b. Sort -3, 1, g in descending order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 72 - 16 = 0. Let d be (s\/(-3))\/(-7)*9. Solve -m + 3*m + d = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 13*c - 7. Let r be 3\/5 - (-11826)\/(-810). What is w(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.535246092+28\nAnswer: 21.464753908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 22*c - 2*f = -49*c - 15, 2*f - 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 71*c - 4926. Let b be q(74). Solve 322*u = b*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-142)\/5)\/((-7)\/(-105)*-6) is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2652 - -2651.05. Let z = -59393.95126 + 59393. Let q = o - z. What is q rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 7*f**3 + 3*f + 16*f**2 + 2 - f**3 - 3*f**3 + 0*f**2 to the form t*f + k*f**2 + d*f**3 + r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21050 from -0.31.\nAnswer: 21049.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-56)*-242 + -142.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380260 divided by 4?\nAnswer: 345065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.613\nAnswer: -0.6452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0\/(-5) + ((-27)\/(-14))\/3 and (49\/(-28))\/(9\/(-2)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*((-24)\/(-10))\/(2592\/(-2160)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - 144. Let g be h(14). Suppose 0 = w - 6*w + 30. Sort g, 0, w in increasing order.\nAnswer: g, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.73*0.2\nAnswer: -11.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -30*z + 29*z. Suppose 0 = 3*s - g - 350, -z*s + 2*g - 236 = -4*s. What is the remainder when s is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889a (base 13) in base 3?\nAnswer: 2102022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - (-76)\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 7*t**3\/6 - t**2\/2 + 4*t. Let p be y(-2). Let f = p + 25. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 32129923?\nAnswer: -32129915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*m - 4416 + 4416)*(1 - 1 + m)*(-5 + 4 + 3).\nAnswer: 104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*r**2 - 160084*r + 2312350 with respect to r.\nAnswer: -16*r - 160084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13422*r**2 + 0 + 1544*r - 1544*r + 0.\nAnswer: -13422*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*k + 92, -5*d + 217 - 62 = 5*k. What is the remainder when d is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1847.13 and -1.\nAnswer: -1847.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 0.5 (b) -31.84 (c) 122 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**2 - w)*(-10*w - 19 + 19)*(0*w + 4*w - 5*w).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1590526 and 169862?\nAnswer: 17495786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 + -103144?\nAnswer: -103053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 2*z + z + z. Let d(f) = 8*f**2. What is d(y(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -b + 4, 4*c - 2*b + 109 - 133 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390259000 rounded to the nearest one million?\nAnswer: 1390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.891 - -0.109. Which is the nearest to 1? (a) -5 (b) 0.2 (c) 2\/9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((3 + -2)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 - 5*u + 3. Let l = 14 + -19. Let w(y) = 5*y**2 + 6*y - 4. Give l*w(o) - 6*m(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.3. Let r = 0.6 - 0.7. What is the nearest to b in r, -4, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317096.5 to the nearest 1000.\nAnswer: 317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -113797?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -106311.296 minus -6.7884?\nAnswer: -106304.5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 2*g**4 + 3*g**3 + 7*g)*(1 - 5 + 2)*(6*g - 8*g + 11*g).\nAnswer: 36*g**5 - 126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2033*d**5 - 2*d + 494?\nAnswer: 40660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -2 - 18549\/3900. Let w = 2\/325 + n. Let p = -95 - -97. Which is the smallest value? (a) -3 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 728800485*o**2 + 26557506982411515*o + 26557507711212005.\nAnswer: 5*(o - 72880049)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/760)\/(67\/7370)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 1. Let n be g(2). Let r be ((-12)\/n)\/((-2)\/3). What is the units digit of 4\/r - (-22)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 + 3*m + 3. Let t be d(-8). Let p = 13 + t. Let j = 11 + p. Solve -1 = x + 2*l + 5, 3*x - l - j = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38\/2 + 1\/1 and (145 - 155)*91\/(-65)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1216) + -1))**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8835284 and 177292?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 522*v + 5984.\nAnswer: -2*(v - 11)*(v + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.92 - -0.08. Let s = 39 + -42. Put -1, f, s, -0.1 in increasing order.\nAnswer: s, -1, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -g - 17, 5 = 1194*o - 1193*o + 3*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*j + 26, 0 = r - j - 3*j - 1. Let m(x) = -x**2 + x + 7. Let q be m(r). What is the units digit of (-18)\/(-12) - q\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**5\/3 - 860*w**4\/3 - 7548*w**3 + 17204*w**2\/3 + 152924*w\/3 + 23128 = 0. What is w?\nAnswer: -59, -49, -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17598 - (-3 + 4)*1. Let m = c + 11703. Is m\/(-12) - 1\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*3\/(-6)*-9. Let v = o + -25. What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*f - 531*f = 140 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Let g = -26\/7 - -71\/21. What is the second smallest value in g, -1, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljrrirdjrdllrji. What is prob of picking 1 l and 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.803 - -0.197. Which is the nearest to -0.1? (a) 9 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/(-120) + (-1)\/(-5)*-1. Sort -0.44, 2\/7, y.\nAnswer: y, -0.44, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(198))\/(sqrt(64)\/sqrt(2)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -1287, -4516, -10855, -21342, -37015?\nAnswer: -58912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 180 - 138 = 36*n. What is the closest to 19 in n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**7\/840 + m**6\/240 - m**4 + 27*m. Let f(i) be the third derivative of k(i). Factor f(r).\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19771*y - 1240*y - 2329*y + 0*y.\nAnswer: -23340*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 6*q - 223. Let p be z(-14). Calculate the greatest common factor of 2109 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**0*i))**(11\/4)*i**6\/i**4 assuming i is positive.\nAnswer: i**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/(-6)) - -9. What is the tens digit of (-2)\/(-6) + 536\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**3*u**2 - 614*t**3*u + 90*t**3 - 50053*t**2 - t*u**2 wrt t.\nAnswer: 6*u**2 - 3684*u + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 203\/337545?\nAnswer: 203\/337545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 6*x**2 - 8*x + 9. Let m be f(7). Let p be (0 + -2)\/(m - -15). Let b be 39*(-15 - 2)\/(-221). Put p, b, 1 in decreasing order.\nAnswer: b, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. What is the tens digit of (-6)\/(c*(-1)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00481947 to 4 dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 913 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 3. Let y be o(4). Suppose -a = -5*p - 19, 3*p = y*a + 4*p + 9. What is the third biggest value in a, 0.2, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 2*f)*(-27 - 39 - 694).\nAnswer: -760*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81842, -81847, -81862, -81893, -81946?\n\"Answer: -o**3 + o**2 - o - 81841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4059023 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5532 + -5645 + (-1 - -36 - 0).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 5. What is x(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*r = 0, 0 = 5*c - 4*r - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 6*g - 23*g)*(-3*g**3 + 0*g**3 + 5*g**3)*(4 - 4 + 2*g).\nAnswer: -88*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17)*-2 + 2.\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/160)\/(8\/(-20)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b + 2. Suppose 26*o - 49 = 16 + 91. Let g(d) = 10*d + 2. Determine o*g(f) - 7*m(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32509070 and 39699?\nAnswer: 292581630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*m - 14*h + 13*h, -5*h - 15 = 0. Which is smaller: 11\/113 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293 + 1293 + 9*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o**2 - 170*o + 44. What is m(10)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*x - 17, -2*x = -4*m - 4*x - 2. Suppose -r - 3*h = 6, h - 3 + 5 = -2*r. Suppose 2*a + a + 3*j - 135 = r, 5*j = -m*a + 75. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -12.2\nAnswer: -13.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-1))\/((p*p**(-6)*p)\/(p\/(p\/(p*p**(2\/13))))) assuming p is positive.\nAnswer: p**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 30 - 24. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -4. Let n = h + -10. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 12. Suppose 2*o - 15 = -5*x + 4*x, 0 = 2*o - 10. Is k(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3 + (-32)\/30)*(-12 - (-792)\/63).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 + 4*a**3 - 23*a**2 - 48*a**2.\nAnswer: 4*a**3 - 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*y**2)*(-8 + 33 + 2)*(4*y - 2*y + 0*y) in the form m + f*y**3 + q*y + j*y**2 and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5783 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: In base 12, what is -62 - -b?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024453 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*h + 4*h - 43*h)*(-h - h + 0*h) in the form q*h**2 + b + y*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 - 43*a**2\/2 - 399*a\/4 + 243\/2 = 0.\nAnswer: -81, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4, -f = -3*n + f - 2. Suppose -w + 3*w - 4366 = n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/42 - 61*i**6\/8 - i**5\/12 + 305*i**4\/8 + 1971*i**2 + 1. Solve j(c) = 0 for c.\nAnswer: -1, 0, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f = 2*f - 2 + 495 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -885.892 + 1.892. Let d = 1258 + -365.61. Let l = r + d. What is l rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:53 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -3.7.\nAnswer: 5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909345943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 9. Let m be t(-6). Let c be (-10)\/2 - 3\/m. Let j(u) = u**2 - 4*u - 17. Let h be j(7). Put c, h, 5 in decreasing order.\nAnswer: 5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let a(z) = z - 5. Suppose -3*w = -6*w - 15. Let b(q) = w*h(q) + a(q). Let j(p) = 525 - p - 525. Determine b(j(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1948*a - 9726. Give n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20322542 (base 6) in base 9?\nAnswer: -1083378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.0481\nAnswer: -0.2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 13. Let v(x) = -9*x + 11. Calculate 6*u(y) + 7*v(y).\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 253 times 3\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*k = 0, -2*k = 4*w - 0*k - 30. Let q be 12*(-2 - 19\/(-4)). Suppose -5*n + q + 22 = 0. What is the smallest common multiple of n and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8033 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 3. Let p be 5*(0 + 8\/h). Suppose -7*f = -p*f + 5100000. What is f rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let p = -1212 - -1216. Suppose -568 = -r*v - 2*m, 0 = -p*v + 3*v + 4*m + 208. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 11*u + 10. Let s be o(-11). Let v be (-2)\/4 + 90\/4. Let x = v - s. What is the smallest common multiple of x and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 383\/(-94601)*1159 + (-5)\/2*2*-1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -32*p - 27269. Let q(j) = -3*j - 23. What is m(q(d))?\nAnswer: 96*d - 26533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 35 + (3 - -1) + 12.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -16, 0 in increasing order.\nAnswer: -24, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z**3 - 16 + 36 - 20 + 107*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 - 3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-5)\/10)*-12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:08 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(2)*-1 - sqrt(2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1691475, 1691480, 1691485, 1691490, 1691495?\n\"Answer: 5*d + 1691470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 1, -1.5 in descending order.\nAnswer: 5, 1, -1.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ann when three letters picked without replacement from akooanktka?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/3 + 10*a**4 - 1000*a**2\/3.\nAnswer: -2*a**2*(a - 10)**2*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1275\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from gggrgggrrrzrrggrrgr.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 5*o. Let m be v(4). Let q(a) = a**3 - 33*a**2 + 83*a + 205. Let p be q(30). Put m, 15, 3, p in decreasing order.\nAnswer: 15, m, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -262 in descending order.\nAnswer: 1, 0, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11994 - -11999. Let k be 3 + (-2 - -3) + 1. What is the greatest common divisor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2 + (-3 + 2 + 0)*(-3 + 2 + 0) + 3 - 5 + 3 + (-3 - 1 + 2)*(-2 - 1 + 2))*(-36 - 52 - 40)*(-2 - j + 2) as p*j + v and give p.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -11 + 20 - (0 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(6\/(-24)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*p - 10. Let w = p - -6. What is the derivative of 1 - w*y + 0*y - 2 wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 51435.32 micrograms?\nAnswer: 0.00000005143532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*h - 1388016 = 601*h. Is h a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let y(x) be the second derivative of -37*x**3\/6 - 17*x. What is y(z(k))?\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19068.6 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -19*p**4\/12 - 47*p**3\/2 - 2*p**2 - p. Is i(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627681 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1569111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 2\/15, -6.749, -3, -2\/9, 13?\nAnswer: -6.749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 7*d**2 - 2. Let w be n(-3). Let p(q) = 4*q - 10. Let z be p(w). Let r be (-16)\/(-6)*z\/12. Solve -3*c = -r*k - 12, 0*k + 3 = -5*c - k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -9.36 (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/15 + 16\/5. Suppose 2*x = -5*u - 1, 0*x + n*x = -3*u + 3. Suppose -x*v = v - 30. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*o + 65, -d - 2*o + 23 = -5*o. Calculate the remainder when ((-15)\/4)\/((-129)\/1892) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -4. Let a = j + 6. Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*b - 4*q, 2*q - 184 = -3*b + 91. Let d be (-7)\/((-28)\/8) + -4 + 26. Let y = b - d. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:56 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -269068.\nAnswer: 5\/67267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:23 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*19\/(-4617))\/(21\/756)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291 - -291. What is the second biggest value in v, 3\/10, 11?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)*(-6)\/(-7). Let b = -18.6 - -19. What is the smallest value in x, b, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**7\/105 - g**6\/40 + g**5\/15 + g**4\/6 - 31*g**2. Find the third derivative of d(m) wrt m.\nAnswer: -48*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396 or -394?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-135)\/10) - (-356)\/18. Suppose 0 = 3*a + d + 8, -5*d = 5*a - 0*d + p. Is 3 a factor of a*((-2)\/(-8) + (-649)\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q - 5. Let x(g) = g - 1. Let r(m) = 9*m - 6. Let i(s) = r(s) - 4*x(s). Let z(n) = -4*h(n) + 9*i(n). Does 22 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/30*(21\/28 + -3). Solve 5*f - 3*f - i - 7 = 0, -f + i + v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -384*w + 394. Determine y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m*(m**6\/m)\/m*m))\/(m*m**(-1\/2)))\/((m*m\/m**5*m)\/(m\/m**1)) assuming m is positive.\nAnswer: m**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.28 litres to millilitres.\nAnswer: 782280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (520\/117)\/(-4) + 30\/27. Let p(o) be the second derivative of 0*o**3 - 19*o + 0*o**2 + 0*o**4 - 1\/75*o**6 + 1\/25*o**5 - 1\/105*o**7 + c. Factor p(i).\nAnswer: -2*i**3*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011001011 (base 2) to base 11\nAnswer: -5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7701.64 days?\nAnswer: 665421696000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/(sqrt(4) + sqrt(12)\/sqrt(3) + sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-95\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 - -43?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 15, 34 in descending order.\nAnswer: 49, 34, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 4*h - 8. Let v be b(-6). Let j be 2\/2*1*4. Suppose 0*r = -j*q - 4*r + 12, 0 = -v*r + 8. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - v + (2 + 3 - 3)*(v - 3*v + 4*v) - 12 - 17*v + 12 - v + 4*v + v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47 - 41 + 111*f**2 + 107 wrt f.\nAnswer: 222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, 266, 13, -3.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 - 4 = 4*s, -374*j = 3*s - 379*j + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -528*x + 115*x + 293*x. Let y(z) = 15*z**2. What is w(y(t))?\nAnswer: -1800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 5*y = -26*l - 5, -l + 2*y = 2. Suppose -l*g - 480 = a - 3072, -3*g + 5*a + 1921 = 0. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m - m. Suppose 2*i - 5*i = -m. Suppose 0 = -i*u + 2*u + 12. What is the remainder when 13 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + (2 - -2) + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 231. Let q(d) = 3*d**2 - 4*d + 6. Give q(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -12.71 (c) 16 (d) -1\/5 (e) -0.4 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -13 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - a = 4, o - 15*a = -19*a - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*q + f**4 - 604*f**3*q + 10*f**3 - 5*f**2*q - 8510*f**2 wrt f?\nAnswer: 24*f*q + 24*f - 3624*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 408\/544*108\/14. Which is greater: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/3, -0.5, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2. Let x = 174035 - 174031. Let v(d) = 2*d**2. Suppose -2*y - 1 = -7. What is x*z(f) + y*v(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 10. Let u(g) = -2. Let c(d) = 2*o(d) + 4*u(d). Let h be c(-2). Calculate the highest common divisor of h and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*r + 0*r = 32, -j + 3*r + 4 = 0. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/4)*k*k**(-5))**(-18))**25)**(-1\/6) assuming k is positive.\nAnswer: k**(-1425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 725 and -488.2.\nAnswer: -353945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 14 = -4. Let k = g - -22. Calculate the least common multiple of 22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3542 is divided by 102?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488 = -25626*v + 25674*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49272 + 69943. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**7\/6 - 5*c**4\/6 + 3*c. Find the third derivative of o(g) wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(126) - (sqrt(126) - -4*sqrt(126)))\/sqrt(2) + (-2*sqrt(77)*-4 + sqrt(77))\/sqrt(11)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.277993 litres to millilitres.\nAnswer: 277.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-20))\/7 - 1435\/100*60\/(-70).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -4, 115, 1, -1, -701 in descending order.\nAnswer: 115, 1, 0, -1, -4, -10, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 - (-11 + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7260)\/(-11616) - 26\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13578*h - 132*h**2 + 13578*h + 1 - 3 in the form k*h**2 + w + z*h and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 15) to base 3\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 14850 = -12*c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293.14 + 6.86. Let b = f + -157. Let h = b + -142.99937. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 429096 and 4560?\nAnswer: 4290960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 + 4*u**3 + 7*u**3 - 20*u**3 + 10*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Let a(s) = s**3 + 11*s**2 + 10*s + 6. Let n be a(-10). Suppose -n + k = -f. Solve f*o = -2 - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1851963\/220 + -8418. Which is the closest to -12? (a) -2\/5 (b) q (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -58 + 106*t - 248*t + 120*t. Is f(-9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(2\/30). Let b be 253\/(-77) - (y - -2). Sort b, 1\/2, 3 in ascending order.\nAnswer: b, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.6 + -10.4. What is the second biggest value in 2, -2\/57, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1\/86, 0.5, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.58 - 11.78. Let q(n) = -n**3 + 5*n**2 - 3*n + 5. Let i be q(4). Do i and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1470622?\nAnswer: -7353110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*z**2 - 13*z**3 + 30*z**2)*(0*z - z + 2*z) - 4*z**2 + 3*z**2 - 8 - 8*z**4 + 6*z**4 to o*z + i*z**4 + g*z**3 + y + n*z**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 35, 44, 65, 104, 167, 260, 389?\n\"Answer: b**3 - 3*b**2 + 5*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*d - 139, d - 118 = -39*i + 36*i. Solve 122 = i*l - 100 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31174448 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3540881.\nAnswer: 281, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 54*b + 1. What is the units digit of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -6, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1755, 13949, 47047, 111501, 217763, 376285?\nAnswer: 597519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4 + 12. Let q = 375.2 - 375.6. Let g = 0.1 - -0.9. Which is the closest to g? (a) x (b) q (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**13*j*j\/(j*j**21\/j)*j assuming j is positive.\nAnswer: j**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4032*p + 60 = -4026*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 131 = -107. Let i(b) = 1. Let v(s) = 4*s - 24. Determine y*i(c) + v(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 39908*u + 79811. What is n(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose 3*n - 2*q = 15, 0 = 3*n + i*q - 15. Solve 3*z = -l + 2, -13 = 3*z - 3*l + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-156))\/(-11) - -43*3\/156\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 18*h**2 - 2*h + 37. Let i be t(18). Suppose 0 = -5*m + 3*m + 4. Suppose 4*v + m*z - 44 = -2*z, -4 = -z. Solve -i = -2*f - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 200*g**2. Let i(w) = 11*w**2 - 18*w - 6. Let h(s) = -14*s**2 + 15*s + 5. Let v(u) = 6*h(u) + 5*i(u). Give z(v(t)).\nAnswer: 168200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3996, 1349, -1300, -3951, -6604, -9259?\nAnswer: -11916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 1 - 1)*(-p - p + 5*p) + (-10*p - 10*p + 2 - 6*p)*(2 - 2 + 3*p**2).\nAnswer: -84*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18626 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-198)\/726)\/((-1)\/22). Put m, 415, 5 in descending order.\nAnswer: 415, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -303*z - 308*z + 613*z - 1. Give d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(121)\/(sqrt(22)\/sqrt(2) + sqrt(11)))**2 - (-2*sqrt(1100) + 4 - sqrt(1100))**2.\nAnswer: -39553\/4 + 235*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-30)\/(-9)) - -3. Let b(z) = 6*z - 2. Give b(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64243 - 64243.0000055549. Round x to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32472481.\nAnswer: 23, 1411847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -q - 46, 133 = -3*q - g + 2*g. Let z be -2 + q\/(-8) + -3. Let w = -9 + 8.9. Put z, 2, w in decreasing order.\nAnswer: 2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -19*j - 15. Suppose -4 = -x - x - 2*c, -5*x + 3*c + 42 = 0. What is the remainder when x is divided by p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1686624*g**2*x**3 - 39*g**2 + 3907*x wrt x.\nAnswer: -10119744*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 3*i + 3. Let m be o(-4). Let h be 1\/(-4) - m\/4. What is w in -4*w**2 + h*w**2 - w**2 + w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 - 3\/40*o**6 - 3\/20*o**5 - 1\/8*o**4 + 0*o**3 + o**2 - 1\/70*o**7 + 0*o. Factor r(p).\nAnswer: -3*p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) + 26\/52. Let q be 3 - -3 - 9 - (-4)\/w. Which is the second smallest value? (a) 1 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 6889771?\nAnswer: -406496489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -1.5. Let j = -4 - p. Let x = 102 - 103. Which is the closest to x? (a) 2\/11 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 5, -1, 0, 151 in increasing order.\nAnswer: -1, 0, 4, 5, 10, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/8)\/(-19)*(-11)\/(-11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3105 > -7999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1250)\/75)\/(20\/(-6)))\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/15)\/(1\/3). Let g = 0.5 - 0.8. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*((2*(0 + sqrt(1377)) - 4*1*sqrt(1377))**2 + ((2*sqrt(1377)*2 + sqrt(1377))*3)**2)*-3.\nAnswer: 17027982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 705148.581554 and 4.\nAnswer: 705152.581554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-24)\/4038) + (-3)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-96)\/15 - (-2 - (1 - -3)). Which is the closest to 7? (a) -1 (b) w (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 18*m + 9. Let n be u(9). Let q = 47 - n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 43 - c + 6*c**2 - 5 - 34*c - 26*c + 17*c = 0.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 174250*d**2 + 2265248*d - 26.\nAnswer: 2*(d + 13)*(87125*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04 or 42948?\nAnswer: 42948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 28*k - 24*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from eooieeoooiiioooo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - a - a**2. Let o(l) = -9*l**2 + 7*l. Let q(j) = -5*j**2 + 4*j. Let y(h) = 4*o(h) - 7*q(h). Calculate y(b(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54503752 - 0.4\nAnswer: 54503751.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by -4.\nAnswer: 393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(3 + (-298)\/98) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = -2*w, 2*y - w + 19 = -y. Let g be y\/(((-1)\/(-1))\/(-47)). Suppose -4*i + 68 = 2*n, -5*n + 3*i + 0*i + g = 0. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let j(y) = -2*y + 60 + 2061*y**3 - 4 + 52 - 2062*y**3 + 3*y. List the prime factors of j(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 + 3. Let n(u) = u**3 + u**2 + 1. Give d(a) - 3*n(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(24)\/(sqrt(8)*2).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 13, -36, -165, -404?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from fflllflffflfffffllf.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.23703 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 757827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.68838 to two dps.\nAnswer: 10.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -64, -72, -80?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 43*j**4\/4 - 56*j**3\/3 + 27*j + 1. What is the second derivative of i(q) wrt q?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)*t*t*t**(2\/9))**(39\/4) assuming t is positive.\nAnswer: t**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:54 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99 - -11)\/((-114)\/(-57))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.327 - -0.327. Let l be -1 - (1\/(-2) - 0). Which is the third biggest value? (a) i (b) l (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1788\/4327 or 0?\nAnswer: 1788\/4327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.219613 to one decimal place.\nAnswer: -30.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-4 + 3 + 3)*(-743*h**5 + 144215*h + h**3 - 144215*h + 2*h**4).\nAnswer: 2972*h**5 - 8*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10331 (base 5) to base 16\nAnswer: 2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/16791, 0.2, 0.09?\nAnswer: -2\/16791","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766704 is divided by 160?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 0, 5, 3, -4 in descending order.\nAnswer: 5, 3, 0, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 5*i - 3. Let w(c) = 7*c**2 - 5*c. Let b(x) = 6*x**2 - 4*x + 2. Let f(n) = 2*b(n) - 3*w(n). Determine -5*f(s) - 7*r(s).\nAnswer: 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2910 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2) - sqrt(56)\/sqrt(7) - sqrt(2)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 36*k**3 - 135*k**2 - 162*k.\nAnswer: -3*k*(k + 3)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:43 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 4*(5*1*sqrt(325) + 5 + -3 + sqrt(325)))**2.\nAnswer: 8640*sqrt(13) + 749124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 + 10*t + 2. Let l be f(-10). What is the second derivative of l*g + g**4 - 7*g**3 + 7*g**3 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218564 is divided by 116.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/40*(-2 - 2). Let x = 20 - -20. Let t = x - 39. What is the closest to t in i, 0.5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*a + 137 + 351, u - 2*a + 127 = 0. Let d = -12 - u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298409787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 - -0.030719.\nAnswer: 129.030719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1715 - 70644?\nAnswer: -72561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 6, r: 3, k: 1, o: 2}. Give prob of sequence kj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (160\/52960)\/(21\/42)\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 622 + -395. List the prime factors of q.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 h when four letters picked without replacement from ldhhhhhdhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*j + 184, -j = -a + 2*j + 86. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1882, 2, -1\/2, -4, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -39*p + 28. Let o(m) = -77*m + 46. Determine 5*j(w) - 3*o(w).\nAnswer: 36*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.345 and 0.23.\nAnswer: -0.07935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 29, -50, -237, -568?\n\"Answer: -6*v**3 + 35*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 q when four letters picked without replacement from dddddddddqdqddddqqq.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1497 + 196010. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 964 - 963. What is the smallest common multiple of f and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-25 - -15) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -367, -566, -767, -970, -1175, -1382?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -0*b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {z: 3, k: 12}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*(-1 + 3 + -2). Solve 0*g - g = x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 12) in base 2?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:23 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-92) - (-1770)\/6785\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2949 and 120448956?\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 3 - -3 - -2. What is the derivative of 5 + 7 + 2*i**w + 4*i**3 wrt i?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - 2*j**4\/3 + 3*j**3 - 2*j**2. Let l be o(15). What is the second derivative of 3*q + l*q**4 + 2*q - 6*q**4 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 8 - 7)*(1 + 0). Solve j*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + 4*h - 26. Let r be j(6). Let u be 53 + -2 - r\/(-4 - -6). What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 - 6*v**3 + 6*v**2)*(4495 - 4486 - 41*v + 219*v).\nAnswer: -1068*v**4 - 54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 655 or 646?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(12\/(-15)*1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 1. List the prime factors of x*(1 + -5)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/24 - 5*f**3\/6 + 5*f**2. Let s(w) = -2. Give -2*b(m) + 5*s(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2425437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41d4c - 4?\nAnswer: 41d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*d + 7*x - 5*x, -5*x - 28 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3510\/81*(1 + 20). Let r be 5\/(-38)*(-14)\/v. Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/(-3 + -117)). Let i be (-4)\/(-6) + n\/12. Differentiate -5 + f - 1 + i + 2*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2151\/255214 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -3*r + 5*m + 200, r + 1 = -m. Solve -3*y - 7 = -r*f, 0*y - 4*f = 3*y + 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -53\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 + 4. What is the smallest value in 2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((2 - 4) + 4) - (5853 - 5948)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015906794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 - 480*t**2 + 15360*t - 163836. Let z(d) = -10*d**3 + 960*d**2 - 30720*d + 327673. Let s(y) = 7*w(y) + 4*z(y). Determine i so that s(i) = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7776 and 6730428.\nAnswer: 4361317344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2085 = -701. Let d = x + -158. Solve -18*w + 9 = -d*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 + 103211*i**4\/2 + 1331641220*i**3 + 3994459224*i**2 = 0. Calculate i.\nAnswer: -51604, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121120 (base 3) in base 2?\nAnswer: -110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1) + 1*-2. Suppose 5*h = 3*v + 20, 3*h + z*v + 22 = -5*v. Find the common denominator of 219\/(-48)*-2*h and 52\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b. Let x = 19 - b. Suppose 4 = -4*f + 5*z + x, -2*f - 4*z = -40. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b + 10. Let k(i) = -12*i + 10. Let t(s) = -s + 1. Let a(w) = -k(w) + 3*t(w). Let n be (-10)\/(-4)*-2*1. What is n*x(z) - 7*a(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toxdooodo. What is prob of sequence xtdd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 41*m + 672. Calculate p(-17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105.97 - 107. Let a = 1 + v. Round a to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + f**2 - 3*f + 3. Suppose 4*r = x - 2*x, -3*x = 4*r + 8. Let p be t(r). Solve 0*i**3 - 1\/3*i**4 + 0*i + 0*i**p + 0 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 - 2082296?\nAnswer: -208236a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*i + 64, i = -2*l - 2*l - 128. Let v = l + 30. Let c(r) = r**2 + r - 2. Determine c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130003123 (base 4) in base 2?\nAnswer: -11100000011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (-5*((2*sqrt(209) - sqrt(209)) + sqrt(209)) - sqrt(209)))*-5)\/(2*sqrt(396) - -3*(sqrt(11) + -2*sqrt(11))).\nAnswer: -20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/3437 + -30890\/147791. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -72, -92, -112, -132?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c + 396 = 0. Let m = c - -691\/7. Sort 1, m, 1\/9, -1\/8 in decreasing order.\nAnswer: 1, 1\/9, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -201. What is the least common multiple of m and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 8*k**2 - 9*k - 1. Let r = 2 - 0. Calculate the remainder when 182\/5 + r\/(-5) is divided by t(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1*(-78)\/((-10920)\/(-50)))\/((-3)\/8)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {c: 1, v: 2, f: 1, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + -26. Let o = -0.75626 + 0.75626. Is q greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {i: 2, s: 1, e: 3, c: 2, r: 1, t: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -937, 3 in decreasing order.\nAnswer: 3, -78, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d - 2. Let x be 1\/((-1)\/2)*(-1 + -1). Let n(m) = -6*m**3 + m**2 - 16*m + 11. Determine x*n(i) + 22*c(i).\nAnswer: -2*i**3 + 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 78?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/49014 and -7\/17505.\nAnswer: 245070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -61*n**2 + 69*n**2 + 27*n + 24 - 1. Does 32 divide u(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 - (-2 + -2) - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 10*s - 14. Calculate d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1646?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607323.3 millennia to centuries.\nAnswer: 6073233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 4. Let l(j) = -j**2 + 6*j + 4. Let m be l(6). Calculate the lowest common multiple of r(m) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -44. Let k be (-1)\/1 + 18\/22. Let n be (-10)\/4*2\/(-10). Which is the closest to n? (a) -0.3 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:32 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from mfpmmfm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 678 + -659. Suppose 2*j + 2*t + 2*t = 28, -64 = -2*j + 5*t. Is h less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1674 and -7\/186?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4 - 46. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/99)\/((-12)\/(-108))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*p)*(-2038 + 474*p + 2038)*(-2 + p + 2) to the form b*p**2 + j*p + i + t*p**3 and give t.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 - 1082*t - 5458. Calculate g(-5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 24, 63, 118?\n\"Answer: 8*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 696 = -5*t. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -49 + (58 - 51)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001969 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 41664274 + 41664274.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 6*-1*sqrt(13)*2*-2).\nAnswer: -96*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 2868*q**2\/5 - 121431*q\/5 - 24860.\nAnswer: -(q - 2825)*(q - 44)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 15*d + 7. Let k(f) = 4*f**2 - 31*f + 15. Determine -6*k(c) + 13*z(c).\nAnswer: 2*c**2 - 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 + 2 = 0, 4*k + 4 = 4*a. Solve z + 11 = -k*j, 0 = -3*z + 2*z - 4*j - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, 0.2, 1 in descending order.\nAnswer: 1, 0.2, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(85)\/sqrt(5))**2 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172164745 to the nearest integer?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*d + 41 = 0, -2*d = -4*n - 4 + 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1581.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 4\/9 (c) 8 (d) 65.65 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66023759, 132047519, 198071279, 264095039, 330118799?\n\"Answer: 66023760*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.2 (b) -3\/7 (c) 0.043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 11*r = 0. Suppose r = 15*q - 10*q - 2*f - 42, -4*f = -3*q + 14. Suppose -3*x - 2*x + 40 = 0. Are q and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/5, -1\/3, -1, 1\/3, -1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -113*i**2 + 5166*i + 15489. Give q(-3).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1180? (a) -4 (b) 0.01 (c) 14.4 (d) 3\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:58 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 43578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 4. Let h be (-3)\/2*(-10)\/15. Solve -z + h = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 66*j - 38*j - 336. Calculate the remainder when 739 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 30 = -10*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 535633272 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-28)\/(-16)) + (-2)\/8. Suppose h*d + 0*u = 3*u + 78, u = 2*d - 50. What is the remainder when 70 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2992 - 2990. Let -2\/9*w + 0*w**4 - 2\/9*w**5 + 4\/9*w**3 + 0*w**v + 0 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -80c8aa?\nAnswer: 80c8ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:28 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -96 (b) 5\/3 (c) 4\/9 (d) 2 (e) -0.115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1389*v**3 - 2652*v**3 + 2139*v**3)*(-1 - v + 1).\nAnswer: -876*v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 3. Let k = h + 30. Let m = k - 13. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 - -6?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7533805 to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 90*h - 9344. Let l be f(104). Solve 120 - l = -13*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-108)\/(-2) - 0\/(-5 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 104143?\nAnswer: 104142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27077623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4031, 4030, 4029, 4028?\n\"Answer: -m + 4032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4117.413 millilitres to litres.\nAnswer: 4.117413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 33733287 = -8214255. Let s = j - 3359912. Round s to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) -122075 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**3 + 6*f**2 - 6*f + 47. Let g(s) = -15*s**3 - 13*s**2 + 13*s - 95. Give -13*d(r) - 6*g(r).\nAnswer: -r**3 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2944 - -2?\nAnswer: -2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8305*i**2 + 20*i - 505. Let f be r(33). Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 52779370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444135494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805 at most as big as 137504\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -46*h**2 + 358*h - 22. Give c(8).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - (sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*-3) - sqrt(88)))\/sqrt(8))*4 + 2 + 3 + -3 + sqrt(396).\nAnswer: -6*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697980624?\nAnswer: 2, 3, 11, 31, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:48 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -286882, 4, 1, 3.\nAnswer: -286882, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, -0.3, -4, -0.485?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**2 - 5*s**2 - s**3 + 5*s**2 + 0*s**3 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7221 a factor of 44784642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3))**2\/(u*(u*u**2)\/u*u*u**(-1\/12)))**(-36) assuming u is positive.\nAnswer: u**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((1 + -2)*1)\/(18\/(-306)) is divided by 4\/(-18) - (-166)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*1*1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from mopppmmoomioppoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36)\/(1\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + k**2)*(2*k - 3 - 5*k + 4).\nAnswer: -3*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*t - 88*t - 2*t**2 - 14 to the form h + a*t + l*t**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(0 - -2 - 1). Suppose -90 = 170*m - 155*m. Sort m, 2, u, -4 in decreasing order.\nAnswer: 2, u, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1215089, -4860349, -10935781, -19441385, -30377161, -43743109, -59539229?\nAnswer: -77765521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 701972*0.31\nAnswer: 217611.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 + -126. Sort f, 3, -12.\nAnswer: -12, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 99\/20. Let n = 1\/4584887 - -133883280121\/23685526242. Let d = n + 20\/287. Find the common denominator of d and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 33448 - 2*q**3 + 3*q - 33448.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 3, m: 3, s: 2, n: 2}. Give prob of sequence mx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.2 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4, 3*x + 46*u - 79*u = -32*u + 59 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f**5\/4 - 155*f**4\/4 + 15*f**3 = 0 for f.\nAnswer: 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*8\/12 - 5\/(-2). What is the closest to 18 in -2\/3, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 17 + 15 = -3*x, 22 = 3*x - p. Is 4647\/x*(24*-2)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -11, -3, -4 in ascending order.\nAnswer: -11, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*j - 14. Suppose 0 = -3*d + m + 14, 3*d - 18 = -0*d + 3*m. Suppose -d*n = 60 - 508. Calculate the highest common factor of n and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128545157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 + -253. What is the nearest to z in -2.1, 0.1, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28817 + 28824. Solve -198*k - a = -191*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-4*sqrt(320) - sqrt(20)) + sqrt(20) + (sqrt(20) - sqrt(80)\/sqrt(4))*4)\/((sqrt(10) - -2*sqrt(640) - sqrt(10))*-4))**2.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.366 + 0.066. Which is the closest to 1? (a) -4 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:59 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/8872393 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let r(s) = -6*s - 3. Let l(h) = -5*d(h) + r(h). Let b be l(-11). What is the second derivative of -1 + b - 10*q**2 - 3*q - 7 wrt q?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430306744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2. Let m(v) = v + 2. Let z = -27 + 30. What is z*r(x) - 2*m(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((7315\/76)\/35)\/(4\/16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 2*h + 2. Let u(d) = -d**2 + 3*d - 3. Give -3*t(q) - 4*u(q).\nAnswer: -2*q**2 - 6*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/10 - 1319*l**2\/5 - 12392761*l\/10 + 6197699\/5 = 0.\nAnswer: -2441, 1, 5078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:04 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422435.\nAnswer: 5, 484487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o - 4*u + 2003, 4*o = -3*u + 1603. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360600 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/13))**(-32) assuming x is positive.\nAnswer: x**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(22)\/sqrt(2)))\/sqrt(5) - sqrt(28)\/(sqrt(36)*-3).\nAnswer: 10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31465336 is divided by 5244222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*-6*12\/(-8)*18\/162. Sort d, 0, -27.\nAnswer: -27, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3 - 2229*y**2 - 6708*y - 4476 = 0.\nAnswer: -2, -1, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 + y - 4. Suppose -s - 10 = -4. Let i be r(s). What are the prime factors of ((-68)\/i)\/((-18)\/(-45))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23592618 by 882.\nAnswer: -26749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472535 (base 8) in base 2?\nAnswer: 1100111010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 3722 = -941. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = -29. Suppose 6*x - 4*x = d. Suppose 0 = c - 2*z - 9, 4*c = -0*c + 5*z + 30. Solve a + x*w - 8 = 0, 4*a - w + c*w = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*d*o**4 - 2200*d*o**2 - 45*d - 79601 wrt o?\nAnswer: -1212*d*o**3 - 4400*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 9 = -4*t + t, 13 = 3*t - 4*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - -1*sqrt(144)*1)\/(sqrt(18)\/(5*sqrt(6)*-2)).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73435 and 220305.\nAnswer: 220305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*g + 2, 18*u + 2*g = 20*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/2 + -199\/14. Is l at least as big as 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587.053558 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((3 - 3) + 2 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/60 and -167\/23520.\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10c30d4 - -d?\nAnswer: 10c30e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4339254*k**2 - 4438605?\nAnswer: 8678508*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7646 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(180) + sqrt(180) + -2*sqrt(180) + sqrt(180))**2).\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*q + 72*q + 261*q**5 + 40*q**5 + 2*q**2 wrt q.\nAnswer: 18060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-4) + 3)\/((-1)\/(-80)). Let f = s + -420. Let x(n) = n**3 + 5. Calculate x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(160) + 2*sqrt(160)*-3)\/(sqrt(200)*-2*-2))**2*-5.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 10 = 2*s, 5*c + 4*s + 13 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - (-3012)\/54. Suppose -2*d - 3*c = -2*c - 29, -3*d - 4*c + m = 0. What is the remainder when 35 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:44 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*i**3 + 85*i**2 + 224*i\/3 - 256\/3 = 0. Calculate i.\nAnswer: -1, 16\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1219 - 1106.6. Let s = 112.40003598 - x. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 184. Calculate the remainder when o(12) is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32884560?\nAnswer: 2, 3, 5, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554596698.\nAnswer: 2, 17, 37, 269, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0318673376 to 4 dps.\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 2*p - p)*(507*p - 873*p + 533*p) + (-4*p + 2*p + 0*p)*(-1 + p + 1) - 2*p**2 - 1 + 1 to i*p**2 + u*p + d and give i.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*g - 133 = 0, -2*h + 18*g - 13*g + 95 = 0. Let y = -6 + 23. Calculate the remainder when h is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 27505.6\nAnswer: 8251.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-19 - (3 - 18 - -27)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 5\/24*l**4 + 0*l**3 + 0 - l**2 + 4*l. Let g = 0 + 1. Determine u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 120.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Let t(z) = z**3 - 3*z**2 - 8*z + 6. Let d be t(5). Suppose -3*n - d = -5*n. Solve -n - 12 = g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17078 and 3669?\nAnswer: 3669.17078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + v**2\/2 - v\/6 - 1\/2.\nAnswer: (v - 1)*(v + 1)*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 2*j)*(-5*j + 2*j + 4*j) - 21*j + 4*j**2 + 21*j + (-2*j + j + 2*j)*(-3*j + 2*j - j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008 a factor of 483351902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 356 = 364. Calculate the remainder when 279 is divided by (-6)\/((14\/(-21))\/(h\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-14433820.\nAnswer: 144338200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77104 divided by -316\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - -12.88. Let f = y + -20. Let r = f + 6.8. Put r, -2\/15, -0.3 in increasing order.\nAnswer: -0.3, r, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.11702?\nAnswer: -0.61702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 24. Suppose 2*w - 5*r - l = -w, 0 = -2*r - 6. Find the first derivative of 1 - 3*q**2 + w*q**2 - 2*q**4 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:58 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/66*3*14\/(-63).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3352 and -3?\nAnswer: 10056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*p + 140, i - 4*p = 3*i - 76. Let j = i + -9. Calculate the highest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*b**3 + 444*b**3 + 423*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298 = 6*k - 8*k. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11993 is divided by 11940.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {g: 3, c: 3, m: 4, r: 2, e: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.741765 rounded to one decimal place?\nAnswer: 93.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. Let l = -1 - w. What is the units digit of (3 + l)\/(12\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955761.\nAnswer: 3, 31, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12890 and 29510366?\nAnswer: 147551830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a - 82*a + 13 = -4*o, -4*o + 5*a - 33 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*1*(-1 - 1). Suppose 3*d - 2*d + 2*z - 26 = 0, 4*d + 5*z - 113 = 0. What is j in d*j**3 - 1\/2 - o*j**2 + 6*j = 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -170. Let w(g) = 2*g**3 - 4*g**2 + 2*g + 2. Let y(q) = -q**3 + q**2. Let x be y(-1). Let j be w(x). Solve -j*m = -3*m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -7)\/(-1) + 4 + 1. Let s(c) = 3*c - 2*c - 3*c + c. Let y(j) = -j**2 + j. Determine x*s(m) - y(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1017504.\nAnswer: -2035008","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8250*f**2 - 36 + 34 + 5614*f**2.\nAnswer: 13864*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 6. Let y = -1.1 - -0.1. Let z = y + v. Put 2, -0.5, z in decreasing order.\nAnswer: 2, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2574849.140051 - -2798364.1930441. Let i = d + -223515. Let w = i - 0.053. What is w rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53998030 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 17 - 1, 2*y - 2*t - 18 = 0. Suppose y + 7 = 4*l. Suppose 20 = 5*s, 2*s - 3 - 2 = -l*o. Let v(i) = 4*i - 1. Determine v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 6*w**2 + 3*w**2)*(-1 + 6 + 1)*(-9 + 5 + 7) + (w**2 + 4*w**2 - 4*w**2 + (0*w - w + 3*w)*(w - 4*w + 2*w) + 0*w**2 - w**2 - w**2)*(2 - 1 + 1).\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 314. Let r(o) = 4*o - 314. What is -6*p(j) + 7*r(j)?\nAnswer: -2*j - 314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 + 51*d**2 + 264*d + 432 = 0.\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = n + 9*n. Suppose -2*o - 8 = -3*y, -7*y - 5*o + 43 = -n*y. Solve 0 = -3*c + 4*i - 25, -3*c - 3*i + y*i = 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**5\/10 + 9*u**4 + 35*u**3\/3 - 18*u**2 - 71*u\/2 - 415. Factor t(l).\nAnswer: (l - 1)*(l + 1)**2*(l + 71)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 788*q + 20560. Suppose 0 = -s + 25 + 20. What is the least common multiple of s and o(-26)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105369 divided by -31?\nAnswer: -3399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13505 divide 697533250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7745*y**2 - 5024*y**2 + 38 - 37.\nAnswer: -12769*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose -4*u + 20 = j*g, 5*u = u + 2*g + 20. Suppose -2*h = -5*r - 4, -15 = -u*h - 2*r - 5. Is h <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2*h**2*k + 138*d**2*h**2 + 3*d**2*h*k - 2*d**2*h - 12*d**2 + 4*d*k - 417*h**2*k + 116 wrt h.\nAnswer: 10*d**2*k + 276*d**2 - 834*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2 - -3\/10. Let k be (-14)\/(-6) + (-1)\/3. Let a = 3.019 + -0.019. What is the second biggest value in m, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 41*x**2 + 447*x - 2125. What is k(27)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 263, 636, 1169, 1868, 2739, 3788, 5021?\nAnswer: 6444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpb. What is prob of sequence bqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by 4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1022 = -1023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 1, p: 2, v: 2, i: 2, m: 1}. Give prob of sequence miie.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8914, 19996, 31078, 42160?\n\"Answer: 11082*c - 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368143 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**7\/2520 - k**5\/120 + k**4\/24 - 2*k**2. Let v(n) be the second derivative of a(n). What is z in v(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -2, -2976 in decreasing order.\nAnswer: 111, -2, -2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 36*b**2. Let y(n) be the second derivative of -2*n**3\/3 + 873*n. Give o(y(q)).\nAnswer: 576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1147*v**3 - 5*v**2 + 1183*v - 5. Let x(p) = 1720*p**3 - 8*p**2 + 1775*p - 8. Let n(h) = 8*l(h) - 5*x(h). Find the second derivative of n(m) wrt m.\nAnswer: 3456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 3. Let o be g(7). Suppose -j = -o*j + 165. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3803731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97497 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 - 3*k + 2. Let a(t) = 6*t**3 - 3*t + 3. Suppose -r - 1 = -4. Let l(h) = r*j(h) - 2*a(h). Factor l(d).\nAnswer: 3*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1161118 and 18577888?\nAnswer: 18577888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -841 * 515\nAnswer: -433115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162, 322, 482, 642, 802, 962?\n\"Answer: 160*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438361?\nAnswer: 59, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 465 - 197968956.962\nAnswer: -197968491.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 6*x**2 + 5*x - 8. Let w be 4\/2 - (-32 - -5). Suppose -2 = i + 5*d, w = -4*i - 0*d + d. What is the units digit of g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 times -95?\nAnswer: -18335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82045192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36334 is divided by 1101.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13510165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 78 - 28 = 0. Let v(s) = s**3 + 14*s**2 + 15*s - 1. Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-40)*237\/6 and -61\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 55*b**2 + 1008*b + 6156.\nAnswer: (b + 18)**2*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/447?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 7. Suppose k + 5 = y*k. Suppose -3 = 2*h + 7. Sort h, 2, k in descending order.\nAnswer: k, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -334650?\nAnswer: -334641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*2*-4)**2 - (sqrt(156)\/(sqrt(6)*2))\/sqrt(2).\nAnswer: -sqrt(13)\/2 + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*u + 84*n**2 - 687*u wrt n.\nAnswer: -2*n*u + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 3}. Give prob of sequence xm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635 and 7011670?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {p: 1, s: 3, w: 3, o: 3, u: 2, y: 4}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-10)\/15. Suppose 6*m + 0*m - 408 = h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2 + (-2 + 3 - 3)*(-2 + 4 + 0) + (2 - 1 - 2)*(3 - 2 - 2) + 0 + 2 + 8)*(3*z**3 - 2*z**3 + 0*z**3).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 626757 and -3.9.\nAnswer: -2444352.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -43*b - 417. What is the remainder when 153 is divided by k(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i + 60 + 22*i + 13*i - 8*i + 122. Is q(16) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*c - 5720 = 22*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2908 divided by 65888?\nAnswer: -727\/16472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2\/23 (c) -4 (d) 1 (e) -175 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 20*r - 24*r + 22, -5*n + 4*r - 14 = 0. What is the nearest to n in -5, 4\/7, 5, -0.06?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:48 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 13*t**2 + 3*t - 14. Let y(o) = 2*o**2 - 67*o + 109. Let v be y(32). Give a(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3637 = -5*k, 0 = -3*v - 2*k + 1826 + 1776. What are the prime factors of v?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -3, 5, 13 in decreasing order.\nAnswer: 13, 9, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5712774 meters in nanometers?\nAnswer: 571277400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35621060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or 327.8?\nAnswer: 327.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**3 - 20*k**2 - 7*k + 7. Let n(p) = p**2 - 35*p - 121. Let f be n(38). Let t(y) = 5*y**3 + 20*y**2 + 6*y - 6. What is f*t(x) - 6*o(x)?\nAnswer: x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dycc when four letters picked without replacement from cmmyccyeeedemmmmc.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(44\/3))\/(12\/(-208)) and -38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -41. Suppose 5*z + 2*s - r - 16 = 0, -2*z = 4*s - 26. Let j(f) = f - 2. Let d be j(z). Solve q + 20 = -d*q, -q = -c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2416.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -181, -182, -183?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)\/n)\/(n**(-2\/3)*n)*n*n*n\/(n\/(n*n**(1\/5)*n*n)*n)*n*n**3\/n*n*n assuming n is positive.\nAnswer: n**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2\/99, 613?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k - 6. Let j(b) = -23*b + 17. Let c(f) = 6*j(f) + 17*r(f). Let v(u) = 3*u**2. Calculate v(c(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1313001 and -61\/33.\nAnswer: 14443011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 82892724*z**2\/5 - 32*z\/5 = 0.\nAnswer: 0, 8\/20723181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 14*s**2 + 13*s - 4. Let b be v(-13). Let f be b\/(-6) - 3\/18*154. Let x = 45 + f. Solve -4*l - l = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*m - 5*o, 18 = -0*m - 4*m - 2*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55047 by -2.\nAnswer: 55047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z + 15. Let m be r(27). Let d = m - -313. Let a be (-4)\/(-14) + (-122)\/(-14). Solve w = 2*v + a, -v + 0*w - d*w = 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11023 less than or equal to -11023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 19*o + 6. Let r(l) = -455*l - 143. Give -143*g(c) - 6*r(c).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -948 + 943. Sort 2\/15, q, -0.5, -0.4 in descending order.\nAnswer: 2\/15, -0.4, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 + 3 = -2*o, -31 = -2*o - 3*l. Let m be 142\/((o + -2)\/3). Let v = 10 - m. Are v and -61 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + -1 + 2 - sqrt(275) - (sqrt(176)\/sqrt(4) - (sqrt(1331)*-2 - sqrt(11)))**2.\nAnswer: -6874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/(121\/(-33))*(-1)\/10.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z + 1. Let b(n) be the third derivative of n**5\/60 + 2*n**3\/3 - 22*n**2. Calculate -b(f) - 3*m(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:03 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**4 + a. Let s(h) = 3*h**4 + 9*h. Let g(w) = -4*b(w) + s(w). Find the second derivative of g(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894984, -894988, -894992, -894996, -895000, -895004?\nAnswer: -895008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*-249*(-746)\/2321925.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240453 + 50255?\nAnswer: -150154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3208115?\nAnswer: -2\/3208115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**7*j*j*j*j)\/((j*j**(2\/9)*j)\/j*j))\/(j**(-3)*j\/j**(-4)) assuming j is positive.\nAnswer: j**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -0.4. Which is the smallest value? (a) -2 (b) 0 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4654*u**2 + 2012*u**2 - 1154*u**2.\nAnswer: -3796*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26975 is divided by 4168.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.518 - -5.528. Let g = p + -0.01. Is g at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14927400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -7 (c) -0.13 (d) -1\/6 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 1. Suppose -2*u + n = -u - 5*b, 3*u = 3*b + 3. What is the remainder when u + 8 + 0\/1 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*j*w**4 + j*w**3 - 4*j*w**2 + 3*j*w - w**3 + 125*w wrt w.\nAnswer: -312*j*w + 6*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 12218952.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2344, 4760, 7236, 9766, 12344, 14964, 17620, 20306?\n\"Answer: -x**3 + 36*x**2 + 2315*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 15*i**2 + 220 + 35.\nAnswer: -2*i**2 + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3729*i + 17. Let j(z) = 3723*z + 25. Determine 3*d(f) - 2*j(f).\nAnswer: 3741*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 123*q**2. Let y(s) = 29120*s. What is y(l(f))?\nAnswer: 3581760*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 2\/11, 167?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:03 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeqeeeeeeeeeeeeqee?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -57848 (base 14) to base 11\nAnswer: -135a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*d**2 - 51*d**2 - 51*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-252)*4*(-16)\/512?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 32 - 2. Suppose 0 = 2*p + 2*v - i, -3*p = -2*v - 7 - 2. Suppose 24 = 3*z + 5*r - 2, 12 = 2*z + 2*r. Put 0, p, z in increasing order.\nAnswer: 0, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - m - 4991 = 2*m, 0 = -2*m - 2. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2. Let r be q(0). Suppose -r*b = -8 - 8. What is the remainder when (-4)\/((6\/7)\/(-3)) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - b**5 - 1263*b**2 + 175*b**5 + 1263*b**2 + (2*b**3 + 2*b**4 - 2*b**3)*(0*b + 2*b + 0*b) + 3*b**4 - 2*b**5 - 3*b**4 - b**5 + 3*b**5 - 3*b**5.\nAnswer: 175*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**23)\/(d**(-16)\/d)*(d*d**(-3\/2))**(-7\/6))**(12\/13) assuming d is positive.\nAnswer: d**(-53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let b(j) = 3*j - 3. Let s(q) = 6*q - 7. Let w(o) = -14*b(o) + 6*s(o). Calculate c(w(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625 + 626.0299. Round s to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*i - 4410 = -711*i for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 79. Does 16 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18672 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-6))\/5)\/((-127)\/(-3556))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 7*j = -125. Suppose -4*k + 9 = j*h, 3*k = 7*h - 4*h. Let m(l) = 7*l**2 + 2*l - 1. Determine m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzwuwwotuupw. What is prob of sequence pwot?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 4*j + j + 4*j - 3*j - 123 to the form v + u*j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7711642 less than or equal to -7711641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1)*v*v**7*v)\/(v\/(v**2\/v))**8)**(-27\/7) assuming v is positive.\nAnswer: v**(-297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 3. Let s(p) = 6*p. Let y be s(3). Calculate the greatest common divisor of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -580, 18, 0 in descending order.\nAnswer: 18, 0, -4, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 + 155*z + 441. Calculate x(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.27. Is o <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**2*t*x**4 + 4*s**2*t - 21*s*x + 351*t*x**4 + 4*t*x - 2*t wrt x.\nAnswer: 24*s**2*t*x**2 + 4212*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 16, f: 2}. What is prob of sequence ofof?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13152 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k + 4*k - 8*k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s - 104*s - 5292 = 0. What is the lowest common multiple of s and 567?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7700 (base 14) in base 4?\nAnswer: -11001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11333 divided by 7.\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (216\/32)\/(1\/4). Let q = m - 29. Let j(i) = -1 + 4*i + i + 2*i. Determine j(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16987102.7 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*x - 13, -3*x = -x + n - 7. Let k = x - 2. Let i be 480\/6 + (-6)\/k. What is the greatest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000259881215 to seven decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1362 and 65\/90042.\nAnswer: 20439534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 11*h**2 + 10*h - 32. Let c(q) = -8*q**3 - 33*q**2 - 32*q + 95. Let l(f) = 4*c(f) + 11*p(f). List the prime factors of l(13).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -55, -10, 118, 3 in increasing order.\nAnswer: -55, -10, -6, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 + 1632*r**3 + 6789*r**2 - 116922*r + 108504 = 0.\nAnswer: -11, 1, 6, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 198. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = -3*a + a, 15 = 2*a - k. Let i(r) = -r**2 + 5*r**2 + r**3 + 4*r**2 - 2*r**3 - 1. Let s be i(a). Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 10\/17, 5.6, -67, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 9498\/5 in decreasing order.\nAnswer: 9498\/5, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 + t + 3*t**3 - 2*t - t to o*t**2 + d + c*t + f*t**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795203007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(30)\/sqrt(40) - (sqrt(243) + -1))**2 - (sqrt(48) + 4 + ((sqrt(15) - (sqrt(240) + sqrt(15) - sqrt(15)))\/sqrt(5))**2).\nAnswer: -19*sqrt(3) + 555\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.369 - 2.369002759. What is l rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, i: 2, x: 6, f: 1, h: 1}. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*j = -92*j. Solve j = u - 0*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253006\/21 + 12045. Find the common denominator of p and -41\/792.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111110110011011 + -1011101?\nAnswer: -101111110111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/(-4))\/((-10)\/180). Suppose -8*o = 3 - t. Suppose 304 = -4*b + o*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 2, s: 1, p: 1, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-4)\/24)*30\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + u + 2 = -5, 4*p + 5*u = 13. Factor -4194*j + 4330*j + 19*j**2 - 5*j**p - 40.\nAnswer: 2*(j + 10)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 3. Let t = -19 + 32. Let l = 22 + -17. Suppose l*w - t = -3*m, 4*w + 2*m - 1 - 11 = 0. Determine u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -42*z**3. Let p be a(-1). Let v be (-18)\/(-4)*(-16)\/(-12). Calculate the highest common factor of p and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -34*c + 8. Let h be v(-3). Suppose -2*t = -h + 20. Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*x - 4, 3*m - 2*x - 9 + 3 = 0. Solve q**m + 7 + 4 - 2 + 6*q = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 1. Let y be c(1). Suppose 0 = -3*a + 11 + 10. Let v(f) = -1 + y - a*f. What is v(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + 3*r - 12. Let w be b(-6). Let y(k) = -k**2 + 2*k + 24. Let g be y(w). Solve 2*i = i + 3*a, g = -5*a + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5606*h**5\/5 + 106536*h**4\/5 + 196628*h**3\/5 + 96072*h**2\/5 + 374*h\/5 = 0. Calculate h.\nAnswer: -17, -1, -11\/2803, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -166*j**3 - 7*j**2 + 14*j + 29. Let g(h) = 83*h**3 + 4*h**2 - 8*h - 15. Let k(a) = -7*g(a) - 4*n(a). Find the first derivative of k(v) wrt v.\nAnswer: 249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a + 45*a - 14*a + 2*a**2 - 71*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 28*x + 32. Let u(w) = 2 - 3 + 39*w - 40*w. Let q(k) = -i(k) + 8*u(k). Let q(h) = 0. What is h?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 - 7*v**5\/60 - v**4\/6 - 11*v**3\/6 - 4*v**2. Let d be c(8). Solve -2*b = h - 3, -b + 2*b = 4*h - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 232 (c) 1.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**3 - 110 - 106 + 216.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**2 + 375*n**2 - 94*n**2 + 210*n**2 + 537*n**2.\nAnswer: 983*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 26*j**2 - 249*j + 251. Calculate c(34).\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -a, 9*n + 22296*a + 111 = 22301*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/9)\/(l**2*l*l))\/(l**(-4\/3)*l\/l**5)*((l**(1\/2))**(6\/13))**(-13\/2) assuming l is positive.\nAnswer: l**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 0, 9*m - 5*m = j - 28. Suppose j = 31*d - 29*d. Let f(o) = -o**3 - 2*o + 32. Let x be f(0). What is the greatest common divisor of d and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181 plus -0.0477?\nAnswer: 1180.9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 411 (b) -836 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*n - 16 = 0, -j - 6*n + n + 20 = 0. Let t be 2\/(1 + (1 - 1)). Suppose t*d + d = 15. Solve j = d*u - 4 + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291312 or -1\/4?\nAnswer: 291312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 75*o - 215 = 0. Solve o*c = -0*c + b - 19, -14 = -2*c - 5*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*q + 9 = -997*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnv when four letters picked without replacement from {n: 1, v: 10, a: 6}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 2180 in increasing order.\nAnswer: -12, 2, 2180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162224 is divided by 2236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - -318. What is the least common multiple of o and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**3 - 5*w**2 + 5*w - 5. Let r(g) be the second derivative of -g**5\/4 - g**4\/4 + g**3\/2 - 3*g**2\/2 + 7*g. Determine -5*r(h) + 3*z(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.1. Suppose -7*r = 34 - 13. Let t = 0 - 0. Which is the closest to t? (a) 2 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226619967 divided by -32374281?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 - 2*o + 1. Let q be f(1). Let n(g) = 2*g**2 + 8*g + 10. Let d be n(q). Let j = d + -27. Solve -s - 4*s = -j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 20 = 0, 11 = 5*s - 0*y + 4*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -12. Let m = a - 21. Let g be (10\/15)\/(m\/(-15)). Solve i + 4*i = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13162363*g - 28593 = -13162010*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 - 29 + 33)*(4*x**5 - 2*x**3 + 2*x**3) + 3*x**5 - 38*x + x**2 + 41*x + x**2.\nAnswer: -445*x**5 + 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1250, 1252, 1254, 1256, 1258, 1260?\n\"Answer: 2*a + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:48 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4204*c - 1538695. Determine z(-366).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 4:47 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3582, -4.\nAnswer: -4, -1, 1, 3582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-6*(9\/(-6) + 1)). What is the second biggest value in -1\/4, -2, r, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/126 + (-4)\/14. Let v = t + 5\/12. Which is greater: v or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 - 5*p**3\/3 + 3*p**2 + 1. Let l be f(-6). Let y be 78\/(-90) + (-1)\/(-5). Is l < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(-18))\/p*p)**(-6))**(10\/3) assuming p is positive.\nAnswer: p**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*c = 15, -8 + 0 = 2*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - ((-3*sqrt(108) - sqrt(108)) + sqrt(108)) - sqrt(108))\/sqrt(6))\/sqrt(9).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:52 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10236*h**4*k - 2*h**4 + 2*h**2*k + 132*h*k + 10*h - 1 wrt h.\nAnswer: -122832*h**2*k - 24*h**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f - 4. Let v(q) = -q**2 + 2*q + 4. Suppose m + 1 = 4. Let x(d) = m*y(d) + 4*v(d). List the prime factors of x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/68511? (a) 4 (b) -2\/5 (c) -1 (d) 0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 + 1 = 0. Suppose -p = -t + 6*t + 2*r, 3 = 3*t - 3*r. Suppose 4*h - 7*h + 39 = t. Solve -2 = 2*a - 4*k, k - 10 = -4*a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103887 rounded to five dps?\nAnswer: -0.01039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 48.2.\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(1300) + -2).\nAnswer: -12 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-6)\/(-24) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 - 13*r + 16. Let z(d) = 2*d**3 + 12*d**2 - 14*d + 13. Let m be z(-7). What is i(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:21 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -20. Let j = -82 - -73. Is j < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36372 and 24388?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26088 divided by 4\nAnswer: 6522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1736 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p**3 + p**2 + p. What is f(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 = -5*f, -13 + 1 = -2*f + 2*n. Suppose 0 = 2*x - 2*i - 48, 5*x = -0*x - 4*i + 84. Calculate the lowest common multiple of x and f - 1 - 24\/(-2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r - 19. Let c be w(-4). Let y = c - -94. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*d - 149 = 0, -2*h = h + d - 151. Is 8\/(-20) + h\/15 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209359 is divided by 13084?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b**4)*(-2411 + 238*b + 2411 + (0 + 4 - 2)*(4*b - 3*b - 4*b) + 3*b + b - 3*b).\nAnswer: -233*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 527*j**2 + 780*j - 1571. Suppose -2*u - 2*u - 132 = 0. What is the lowest common multiple of i(-262) and (u\/(-9))\/((-2)\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 d, and 1 o when four letters picked without replacement from {l: 1, d: 5, o: 2, p: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1646 = -4*j + h, -2*j + 2*h = -824. What is the remainder when j is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*3*2)\/(sqrt(132)\/sqrt(48)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161524417.\nAnswer: 161524417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -13\/5*f**5 - 1\/4*f**4 - 11\/2*f**2 + 235*f + 0 + 0*f**3. Find the third derivative of j(o) wrt o.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(180)*2 + sqrt(180)))\/(sqrt(196)*-2 + -4*(sqrt(4) + sqrt(16)\/sqrt(4))).\nAnswer: 27*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1385*-26.92\nAnswer: -37284.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 25549119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -472*a**3\/5 + 3774*a**2\/5 - 7536*a\/5 - 32\/5.\nAnswer: -2*(a - 4)**2*(236*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 0*m**4 - m**2 - m**3 - m**4 - 3 to the form i*m + k*m**2 + r*m**4 + q + l*m**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-112))\/(5\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 41 = 4*w, -3*t = -0*w - 2*w + 23. Suppose q + 30999 = -2*s + w*s, 2*s - 4*q - 30996 = 0. What is s rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 = 76*p + 67*p - 54 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f = 4*v + 55*f - 903, 0 = -2*f + 2. What is the remainder when 2246 is divided by v?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 3. Let d be 2 + x - 4\/(-1). What is the highest common factor of 63 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/4 + 21*g**4\/2 + 41*g**3\/4.\nAnswer: g**3*(g + 1)*(g + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -102\/13, 0, -0.115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -71.\nAnswer: -24\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -74. Let c be 4\/(-14)*s\/36. Determine z so that c*z**2 + 0*z - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = i - 3*l, 5*i + l + 21 - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**5 - 177*q**4 - 13066*q**3 + 5*q**2 + 6*q + 162540?\nAnswer: -240*q**2 - 4248*q - 78396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2776 and 15450522?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/5, -0.1, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 12 = -3*f, 0*f + 2*f = -t - 1. What are the prime factors of f*(-717)\/(-7) - (-6)\/(-14)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -50*i + 7001. Calculate g(146).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6777165*m. Let q(j) = 5*j**2. What is q(i(n))?\nAnswer: 229649827186125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-8)\/y)\/y**(1\/4))**40)**48)**(-1\/69) assuming y is positive.\nAnswer: y**(5920\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02944 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018356538541 rounded to four decimal places?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(208) - -1*(sqrt(208) + 5)) + -4 + sqrt(208)*4))**2.\nAnswer: 1728*sqrt(13) + 269604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*b - 14, -3*f + 0 - 1 = b. Calculate the highest common divisor of b and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97162397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*t**4 - 6*t + 1 wrt t.\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. What is the units digit of -3 - 24\/(i + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-11.352972.\nAnswer: 45.411888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 + 20 = 0. Let k be -1 - (45\/(-20) + g\/(-8)). What is the second derivative of -15 - f + 15 + 4*f + 20*f**k wrt f?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o - 9*o**2 + 7*o**2 + 0*o**2. Give c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30175 is divided by 9826.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16\/96)\/(-5*1\/(-50))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5498782*m - 3*j + 15 = -5498785*m, -4*m + 5*j - 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2989 + 0.2989. Which is the nearest to 2? (a) -0.7 (b) o (c) 8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 + 4*r**2)*(-3 - r**3 + 3) + (0*r**4 + 5*r**4 - 3*r**4)*(-4*r - 2 + 2).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2688485\/397 - -6772. Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100482899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181381 is divided by 1052.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*h + 24 - 64 = 0, 4*h = 2*j - 8. Suppose 13*z - j*z = -3, 5*x = 4*z + 32. Solve 58 = x*r + 70 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -793, -773, -735, -673, -581, -453, -283?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -520990 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = -1. Suppose -2*d + l = -5. Suppose 3*t + 21 = h, 9 = -4*t - d. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + (-330)\/(-396). What is the closest to -0.1 in -0.1, 1, 2, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 37492*z**3 - 6*z**2 + 5*z + 1. List the prime factors of i(1).\nAnswer: 2, 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147369360 a multiple of 5416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 538\/5147 - 10175492\/540435. Let r = a - -158\/21. What is the common denominator of 25\/3 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355 - -362. Let s(l) = -l**2 + 6*l + 3. Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 554*s - 8153. Determine h(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*-2*-1 + sqrt(153) + -1 + 2)**2 + (sqrt(17) - (-1*sqrt(119) - sqrt(119))\/sqrt(7))**2 + -3 + 2 + sqrt(17).\nAnswer: 25*sqrt(17) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*g + 0 - 27\/8*g**3 + 21\/8*g**2.\nAnswer: -3*g*(g - 1)*(9*g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1) + 117\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:46 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-4)\/n)\/n)\/n)\/(n*((n\/(n\/(n*n**5))*n)\/n)\/n*n))**(-23) assuming n is positive.\nAnswer: n**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19+1437.96619\nAnswer: 1418.96619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 5*g**2 - 6*g - 5. Let v be s(-4). Suppose -20 = -v*n - n. Suppose 3*i + 362 = 4*h, 2*h - n*i - 188 = -0*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 1 + (3 - -13) + 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -0*f. Let o(c) = 11*c**3 + c**2 + 3*c - 2. Let n be o(f). Suppose 3*r - r - n = 0. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/3 + 52*y**3\/3 - 280*y**2\/3 - 784*y\/3.\nAnswer: -2*y*(y - 14)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/32 and -3\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-2 + 2*s + 2)*(4*s - 3*s + 0*s) + (-s**2 - 3*s**2 + 3*s**2)*(23 - 8 + 39).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let v be (0 - 1)*(7\/(-1) - 4). Suppose -v*x + 40 = -3*x. Solve x*y = -13 + h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -544*d - 16. Let c(p) = -544*p - 19. What is 5*c(n) - 6*z(n)?\nAnswer: 544*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10931 take away -4577105?\nAnswer: 4588036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 336, 101, 0 in decreasing order.\nAnswer: 336, 101, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 12. Calculate the remainder when (-3)\/f*(3 - 27) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from {n: 3, l: 4, e: 3, m: 5}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/32 - 38\/(-304)) + (-8 - (-326)\/23)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1\/3 (c) -5 (d) 237\/10 (e) 1.043 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20878 and 2847.\nAnswer: 62634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**4 - 256*g**3 - 693 with respect to g.\nAnswer: 8*g**3 - 768*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - o - 105 = 0, 2*q - 24 + 5 = 5*o. What is the tens digit of (-14)\/(-77) - (-2196)\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, u: 2}. Give prob of sequence pupp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 24 = 3*d, -2*d + 26 = 5*z + 5. Suppose 0 = 5*o + z + 12. Let q = -23\/8 - o. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 457104272 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*d - 60*d + 46*d = -1196 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzgzggg. What is prob of sequence ggg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3319240 = 23*t - 63*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817886?\nAnswer: 2, 408943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6 - 8*r + 1 + 4. Is 12 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 9*q = 18. Let a be ((-2025)\/q)\/9*4\/6. Let f = 227 + a. What are the prime factors of f?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -54657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**2 + 23172 - 23172.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-10) + (-4)\/10. Suppose -2*g + n = -0*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 2. Let b be q(4). Let c = -3 - b. Let m(u) = u**2 - 6*u + 5. List the prime factors of m(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*z - 4*d - 0*d, 0 = -4*z - 2*d + 56. Let s be (2\/(-5))\/(3\/z). Is (-1 + 0)\/(s\/22) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100703\/5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17357?\nAnswer: 17, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131553 - -12?\nAnswer: -131541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 20, 1429*v - 1433*v = -2*l + 10. Which is the nearest to -0.1? (a) 3 (b) -0.3 (c) -0.12 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 568535 to the nearest one thousand.\nAnswer: 569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -292. Sort n, 0.1, -0.2, 3 in descending order.\nAnswer: 3, 0.1, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(36)*-2).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006765481 rounded to 5 dps?\nAnswer: 0.00677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95999.4 less than -0.1?\nAnswer: -95999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342974 is divided by 425?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 18 + u**4 + 22 - 3*u**2 - 4 - u**3 as k*u**4 + r*u**3 + p*u + i + c*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9215108kg in grams?\nAnswer: 921.5108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1311 or 97101\/74?\nAnswer: 97101\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 5. Let u be y(-8). Let g be 0 - 10*3\/(-2). Let t = g - -106. Calculate the highest common factor of u and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/98 and 89\/8232224?\nAnswer: 57625568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -187878 and -187882 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 258079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240542 by 4165.\nAnswer: 240542\/4165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 2. Suppose 4*b - 13 = -1. Let i be ((-3)\/(-2))\/(b\/4). Calculate r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -480 - 154. Suppose -818 = 3*h - 2006. Suppose 0 = -4*w - k + f, -6*w + h = -w + k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/110 and 37\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/17 + 4*r**2\/17 + 42*r\/17 + 36\/17 = 0.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (10 + -31 + -2 - -6 - -7) - 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.64, 0, -0.1 in ascending order.\nAnswer: -0.1, 0, 0.64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -493*w**2 + 87*w. Let g(z) = 57*z**2 - 10*z. Let q(d) = 87*g(d) + 10*r(d). Let m(x) = 158*x - 1. Give m(q(f)).\nAnswer: 4582*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:39 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Suppose -67 = -h*p - 7. What is the highest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -35. Let o = g - -57. Suppose 3*a - 5*q + 1 + 1 = 0, 3*q + o = -4*a. Sort -3, a, 4 in decreasing order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-6)\/11))\/(((-27)\/24)\/(1110\/1480))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77173 - -77160. Let x = -0.1 - -0.4. Which is the closest to s? (a) -1\/2 (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 56 - 152. What is the common denominator of d and ((-9)\/12)\/((-55)\/(-65))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 21*c**2 + 24*c**2 - c**2.\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose 7*m - c*m = 565. Suppose -b - f = -65, -142 - m = -4*b + f. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 47. What is the nearest to o in -1, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1239 - -1244. What is the fourth biggest value in 2, m, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 + 16*z**2\/11 - 40*z\/11 + 32\/11.\nAnswer: -2*(z - 4)*(z - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -23*y. Let k(g) be the third derivative of -g**4\/24 + 2*g**2 - 14*g. What is o(k(b))?\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4194 + 0.4194. Let o(p) = 4*p + 39. Let n be o(-10). Put -7, x, n in decreasing order.\nAnswer: x, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 - -223. Suppose -3*h - 1 = 2*r + 3, -5*h - q = r. Put 0.09, r, -4 in descending order.\nAnswer: 0.09, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 15 = 7*k. Let w be (k + 2)*-1*2. Is 4 a factor of (w + (-44)\/(-8))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + 1248\/7. What is the third smallest value in -4, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.493 + 0.693. Put c, 1\/2, 1, 97 in increasing order.\nAnswer: c, 1\/2, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/3 - 5*q**3\/3 + 5*q**2\/2 - q + 297. Calculate d(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 - 21)*5\/240)\/(6\/(3 + -15)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*h, y + 2*h - h - 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 9*s**2 + 80*s + 76. Is 12 a factor of n(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391981 and 104131.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttitttitttttitt. Give prob of sequence iti.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330339 is divided by 198.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 551428307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0902 - -0.0902. Let t be 5\/(-9) - (-2)\/9. What is the biggest value in -7\/6, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4305793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)\/(-2*1*sqrt(12)))\/(sqrt(14)\/((sqrt(2) + (sqrt(32) - sqrt(2)) + sqrt(2) - sqrt(2))*-6)) + -4 + -2)*3)**2.\nAnswer: -1296*sqrt(3) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/4 + 3\/12. Suppose s*i - 1 = -5. Is (-1)\/i*3*22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3221*m**5 - m**4 - 256*m**2 - 6*m - 503529.\nAnswer: -64420*m**3 - 12*m**2 - 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1387, 2784, 4181, 5578?\n\"Answer: 1397*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2674229*d*j - 2395211*j wrt d?\nAnswer: -2674229*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/4)\/8)\/((-3)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*o - 9, -s + 12 = 6*o - 2*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 3*w**2 + 10*w + 4. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 + 166. Solve 21 = 7*n - a*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:05 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76\/5 of a centimeter?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11 or -72\/33871?\nAnswer: -72\/33871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z**2 + 2*z. Let r be c(3). Let g be (-134)\/r*24\/8. Let p = 138 + g. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15571 is divided by 208?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (-3 + 2). What is the third derivative of i*t**2 - 4*t**2 - 3*t**5 - t**2 wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 15 - 6 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:17 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddodoo. What is prob of sequence ddd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2275*g - 637379 + 637379 as r*g + u and give r.\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364456360 to the nearest integer?\nAnswer: 19091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 158. What is d(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*f + f. Suppose -6*q = -f*q - 12. Suppose 0 = -q*s + 6 + 81. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*b - 10, -8 = -5*b - 4*w + 3*w. Let l = -26 + 31. Solve -l = -4*k + 3*y, -3*y + 9 = -k - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1297 + 1293. Let m = 599 - 597. Which is the fourth biggest value? (a) m (b) x (c) -0.07 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239303.4ml to litres.\nAnswer: 239.3034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(32\/12))\/(((-3408)\/(-1568))\/(-71))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232152605 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: Let c(t) = t**2 + 12*t - 9. Let w be c(-13). Solve -r - u - 8 = 0, 3*r = -2*u + w*u - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-51567.\nAnswer: 5156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*l + f + 2, 5*l - f = 25. Suppose -5*v = -8*b + 4*b - 981, -4*b + l = 0. List the prime factors of v.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r + 0*r**2 + 1\/4*r**4 - 33 + 0*r**3. Let h(g) = -40*g. Give h(j(i)).\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: d90 (base 15) to base 10\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 810 = 10*b. Calculate the remainder when 84 is divided by b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eded when four letters picked without replacement from {d: 3, e: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2156\/(-1694))\/(2\/(-11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 8*s + 10. Let d(y) = -y**2 + 1. Let a be d(3). Let n be l(a). What is 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 prob of sequence lnz when three letters picked without replacement from {n: 1, l: 8, z: 1, a: 7}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 603 - 1180 + 625 - 7*l + 4*l + l**2 as x*l**2 + q*l + h and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -3)\/(-7 - -6). Suppose -i = -5*y + 270, 3*i + 384 = -v*y - 506. Is 5 a factor of 7\/63*6 - i\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiqiqiiiqqiiiiiii. What is prob of picking 3 i?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-40)*8\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.84891l in millilitres?\nAnswer: 95848.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41397.38ng?\nAnswer: 41.39738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 567?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-2))\/5*((-60496)\/1596)\/(-199)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 3*j + 2*j)*(2930*j - 5167*j - 17260*j) as z*j**2 + m + i*j and give z.\nAnswer: 19497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 2:56 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/24 - (-3)\/(-12). Let w = -0.7 - -0.2. Let v = 4.6 + -0.6. Which is the second biggest value? (a) v (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 101?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 71. What is the hundreds digit of w\/9 - (-7630)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42504, -41998, -41492?\n\"Answer: 506*g - 43010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 19}. Give prob of sequence aab.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/105 and -173\/20755560.\nAnswer: 20755560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33 - -31)*19\/2. Let k(d) = -4*d - 18. Is k(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 69. Let w = -11 + 5. Let a(y) = y + 6. Let j be a(w). Let d be o(j). Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) -2 (c) 1\/4 (d) -1.06171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-7 + -9)) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5034742087?\nAnswer: 5531, 910277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3476528292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 95*o + 99*o - 197647, 0 = 2*n + 5*o - 79086. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -14. Solve 5*l = 2*l - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m + 9. Suppose 4*z + 16 = 2*a, 4*z + 27 = -2*a + 3. Let h be b(z). Suppose 0 = -4*i + h - 11. What is i rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/9)\/((-6)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - -15) + -12 + 76 + -56.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575823*k - 576857*k + 1152680*k - k**3 - 3*k**2 + 3*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*d - 34. Let z(r) = 240*r + d*r**2 - 240*r. Let b(l) = -l. Give b(z(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 10}. What is prob of sequence svv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 25*m**4 - 138*m**3 - 212*m**2 + 88*m + 288 = 0. What is m?\nAnswer: -18, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 6083*x - 67171. What is v(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*t + 14 = -1264*t + 4*w, 0 = 3*t + 2*w + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 9*t**2 + 15*t - 12. What is the units digit of a(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 114 + 2*d - 360 + 126 + 46*d**3 + 120 to the form z*d + b*d**3 + f*d**2 + y and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 - 58 = 0. Let r be 6\/(-10) + y\/(-65). Solve r*d - 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4118*l + 3 + 3 + 2060*l + 2056*l - 6.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616787860 by -1.\nAnswer: -616787860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*m = 6*m + 167, -20 = -4*m. Suppose 5*v - d = 2*o, 13*v + 28 = 14*v + 5*o. Solve 9*a = v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j - 153. Calculate f(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**3 + 20*g**2 + 6757*g + 6737. Give w(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.1, -0.3, 2\/7, 5, -0.0455, 0.2?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.2. Let h = 6142 + -6145. What is the closest to 9 in -1\/4, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/16 + (-12171)\/(-24). Let m = -298 + r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112\/327 - -34838\/31065. Let g = c + 8\/19. Solve -6\/5*n**2 + g - 3\/5*n**3 + 3\/5*n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 35, 27, 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78747155*l**3 + 218903*l + 109.\nAnswer: -472482930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110001011110001101 - -10?\nAnswer: 100110001011110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395074 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2029 is divided by 120.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from {w: 2, c: 1, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 5*y**2 - 9*y - 18. Calculate j(-4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4))**14*(x**(-2)*x*x)\/((x\/x**(-1\/4))\/x))\/((x**(-1\/12)*x)\/(x\/(x\/x**9)*x))**(-50) assuming x is positive.\nAnswer: x**(-5327\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154.29 - 3.71. Let c = j - -158.231. Let v = c - 0.23099754. Round v to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 - 66\/(-14). Is 5 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1842\/2785 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14.09 * -1046.3\nAnswer: -14742.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*o - 13, 3*v + 4*o - 6 = 5*v. Let f(y) be the first derivative of 0*y - 3\/14*y**4 + 2\/7*y**3 - 1\/7*y**2 + 2\/35*y**v + 1. Factor f(m).\nAnswer: 2*m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2. Let m(x) = -36*x + 54. Suppose 4*r = -4*b - 20, 2*b - 3*r = -4*r - 6. Let i(t) = -t + 3. Let s(u) = b*m(u) + 18*i(u). What is q(s(f))?\nAnswer: 1296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023633 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let x(g) be the first derivative of 0*g + 2 - 1\/2*g**2. Determine x(v(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-329) + (-64)\/(-126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g - 303*g = -1841 + 225 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15150 and 2121.\nAnswer: 106050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -85430042?\nAnswer: -85430041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 191 = -3*h, -3*h + 2*j - 187 = -2*j. Let y = h - -188. Suppose -77 - 16 = -3*f. What is the remainder when y is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 28322 = -r. Let k = -74 - r. List the prime factors of k.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 410 in decreasing order.\nAnswer: 410, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047289.\nAnswer: 1047289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5 - y)*(-3*y + 0*y + 4*y).\nAnswer: -y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 2*c - 25, 2*w - 9 = -3*c - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23675\/86889 - -2\/7899. Which is the closest to 0.004? (a) -5 (b) -2 (c) -0.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2.4, 4, -27\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 27338*c - 382342. What is r(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:23 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - n - 4 = 0, -3*n - 20 = -3*f + 2*n. Solve -y - 4*y = f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**2 - l - 5. Let k(n) = -6*n**2 + n + 3. Let y(i) = 3*c(i) + 5*k(i). Is y(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:10 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -1 + (4 - 6) + 4091 + -4088.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1887254704 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -15*w**4\/4 + 5*w**3\/3 + 35*w**2\/2 - 25*w + 4. Suppose m(r) = 0. What is r?\nAnswer: -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*q + 75*q + 9*q)*(-39 - 11 + 1)*(-2 + 1 - 1) as i + z*q and give z.\nAnswer: 15386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17116*a + 69185. What is m(-4)?\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 76.102. Let d = -0.402 + j. What is the closest to 1\/4 in -0.4, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 242 or 1690\/7?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 925469 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: Three letters picked without replacement from {a: 13, k: 5}. Give prob of picking 2 a and 1 k.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/3)\/x**(-4))\/((x**2\/x)\/x)**(-12))**(5\/8) assuming x is positive.\nAnswer: x**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17\/3 (b) -5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -4. Let a(x) = -4*x - 2. Let c be a(-13). Let o = w + c. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2356253 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 2 + -2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k. Let o(l) = -2*l + 0*l - 5*l - 3*l. Let v = -2 + -4. Let b(f) = v*o(f) - 7*c(f). Let t(n) = n. Give b(t(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Suppose v - 8 = -3*p, 0 = v - 5*p + 2*p + 10. Let b be (v\/(-7))\/((-2)\/6). Sort u, -2, b in ascending order.\nAnswer: u, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4273*o. Let p(i) = 125*i**2 - 1. What is p(r(b))?\nAnswer: 2282316125*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.11, -47.2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w - 17*w + 2*w + 18*w - 61 + 21*w**2. What are the prime factors of j(4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - a**2 - 3*a + 4. Let d be j(1). Suppose 0 = 3*h + h. Solve k - d + 6 = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/6*(-6)\/(-4). Suppose 4*u = 8 + o. Solve s + 2*d - u = 0, 2*s - 5*s - d = 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*a = -105*a - 18. Calculate the remainder when 40 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1932 and -53\/17584.\nAnswer: 1213296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70571\/2333495 + 2\/10015. Calculate the common denominator of -19\/6 and i.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1118.221 and -0.4.\nAnswer: 1117.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*i - 174, -254 + 45 = -4*y - 5*i. Calculate the remainder when 90 is divided by y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + 18*w**2 - 3*w**2 - 4*w**2 + 1 as h*w + q*w**2 + s and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:41 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2923 + 2689 - 770 + 1659 - 456 + r to h + o*r and give h.\nAnswer: 6045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x**2 - 3*x**2 - 7*x**3)*(-5*x + 2*x - 3*x) - 2*x**4 + 76*x**2 - 76*x**2)*(-x - x + 3*x)*(-31 - 19 + 19).\nAnswer: -1240*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24 = -48. What is the smallest common multiple of t\/15 + (-4)\/10*1 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4033?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2*b*b**(2\/15)*b*(b*b*b**(-1)\/b)**(-3\/2))**(-48))**(-21) assuming b is positive.\nAnswer: b**(5712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -207. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 - q - 274. Give w(0).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257801519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3889*o - 3914*o = -192300. What are the prime factors of o?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpu when three letters picked without replacement from {u: 4, p: 4, y: 5, r: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o - 19. Let z(p) = -p**3 - 9*p**2 + 9*p - 14. Let u be z(-10). Calculate the remainder when c(6) is divided by (-63)\/u + 9\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46530281\/8 at least -5816286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7454576*g**3 + 1223*g**2 + 889*g?\nAnswer: 44727456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2. Let b(x) = x**2 + x - 3. Let k be b(-3). Let c(j) = 0*j - 4*j + k*j. Give c(u(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-64))\/7*1*-4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-422)\/(-633)*9*111*8\/(-144)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-7)*35\/10. Let j be 2 + (8\/12)\/((-2)\/(-60)). Suppose f = 4, -2*s + f - 4*f = -j. Solve -3*g - r = s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((82\/492)\/((-1)\/(-645)*5))\/((-3)\/6).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200010 - 10200100?\nAnswer: -12100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4812 and 233222402.\nAnswer: 1399334412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 12*z**2 + 12*z + 7. Let u be o(11). Suppose 26*b + u = 27*b. Calculate the remainder when 33 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6464, 6462, 6460, 6458, 6456, 6454?\nAnswer: 6452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 992\/(-3) + 4\/6. Find the common denominator of 65\/21 and 2\/(-30)*l\/18.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -645078.7900115 - -645079. Let i = q - 0.21. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.68094l in millilitres?\nAnswer: 95680.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (322*v**2 - 9471 + 9471)*((-1 + 1 - 2)*(-v**2 + 2*v**2 - 2*v**2) + 0*v**2 + v**2 + 2*v**2 - v**2 + 0 + 0).\nAnswer: 1288*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -8, 8, 30?\n\"Answer: 3*l**2 + l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 96 = -6*f. Is (-3)\/2*f\/9 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 674*y**3 + 197 wrt y?\nAnswer: 2022*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -43. Which is the second smallest value? (a) -2\/5 (b) 7 (c) -0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-44)*88\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 36 = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47345.\nAnswer: 5, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4572831 - 10311728721\/2255. Let v = k + 1\/902. What is the common denominator of v and -1 + 16\/10 - 2204\/232?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -3958766?\nAnswer: 3958768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -101 in ascending order.\nAnswer: -101, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 949, 3802, 8549, 15184, 23701?\n\"Answer: -t**3 + 953*t**2 + t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321*c**2*g*r - 9*c*g**3*r - c*g**3 - 31*g**3*r - 483*g**3 wrt c?\nAnswer: -642*c*g*r - 9*g**3*r - g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = 2*p - 4, -q + 2*p + 8 = 0. Suppose -q*d = -4*d. Let a = 2162\/9 + -240. Sort d, -0.2, a in increasing order.\nAnswer: -0.2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 240976*z**2 - 5*z + 5. Let r be k(7). Suppose 5*y = r - 2168504. Let t = 2672142 + y. What is t rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (185\/10)\/(-1 + -1) and 68\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17569098?\nAnswer: 2, 3, 61, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let t(d) = d + 14 + d**2 - 14 + 6*d**3. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:54 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2 - 2)*(-3 + 1 - 3)*(-k + 3*k + 3 - k) as v*k**2 + b*k + m and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 39\/(-15) - (-1)\/(-1). Solve 9\/5*w**3 - 87\/5*w**2 + b - 36\/5*w + 15*w**4 + 27\/5*w**5 = 0 for w.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 34*p**3\/3 - 56*p**2 - 10954*p\/3 - 3584 = 0.\nAnswer: -256\/17, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 1. Suppose -2*b + 0 + 2 = 0. Let r(i) be the first derivative of 3*i**4\/4 - i**3\/3 + 4*i - 1. Let f(w) = b*r(w) - 4*x(w). Factor f(u).\nAnswer: -u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 - 411*c + 652. Let q be o(-70). Solve -5*x + 14 = -k, 5*x - 5*k - q = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -u - 7, 4*u + 10 = -6*q + 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 11, f: 4, k: 3}. What is prob of picking 2 f?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-30) + 58\/10. Let w be ((-9)\/(-6))\/(s\/8). Suppose 4*f = 6 - w. Let j(z) = -6*z**3 + z**2 - 2*z + 1. Determine j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3502, 7045, 10588, 14131?\nAnswer: 17674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 36. Let j = -58 + 87. Calculate the remainder when j is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.56 + -402.6125.\nAnswer: -398.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -33*p**2 + 3099528*p - 3099495 = 0.\nAnswer: 1, 1033165\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36054365 is divided by 275224.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 - 8*v**3 - 13*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 6576?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 10*r**2 + 0*r**3 - 10 + 2*r + r - 6*r**3 + 16 to the form l*r**3 + b*r + z + f*r**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**2 - 2*y**2 + 9*y**2 + 4*y**2 - 3)*(-11*y + 9*y - 94*y) to c*y**3 + w*y + t + q*y**2 and give c.\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - (-42 + -1) - (-50 - -29 - -34).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1973 + 975 + 0*z - z.\nAnswer: -z + 2948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:03 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -651 or -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**8\/26880 - w**7\/2520 - w**6\/960 + 2*w**4\/3 + 13*w. Let f(b) be the third derivative of l(b). Factor f(o).\nAnswer: -o*(o + 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -896188176 by 11489592.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2}. What is prob of sequence oog?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**2\/11 + 278*n\/11 - 64.\nAnswer: -2*(n - 32)*(4*n - 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*x + 5*z, -35 = -4*x + 4*z - 75. Let l(k) = 0*k**2 + 1 - 1 - 7*k + 14 - k**2. Calculate l(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3 + (-15)\/(-3)). Let f(w) = 7. Let k(l) = -l - 6. Let n be 39\/12 - (-1)\/(-4). Let g(p) = n*f(p) + o*k(p). Differentiate g(u) with respect to u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -6 - (-3 - (-1 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -300. Suppose -m = -6*m + b. Suppose 0 = 107*t - 111*t + 172. What is the remainder when t is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.098 * 76.59\nAnswer: 84.09582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (6\/(-16)*12)\/((-6)\/56) and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.06 - -0.06. Suppose 4 = 5*t - 1. Which is the biggest value? (a) -0.3 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 142. Differentiate -44 + p*w**4 - 50 - 166 - 14 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 0.2, 1\/2, 97, -973\/6 in increasing order.\nAnswer: -973\/6, -112, 0.2, 1\/2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1347 - 1227. What is the greatest common factor of 660 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*h - 3*h - 608, 0 = -4*h - 4*v + 2432. Calculate the highest common factor of h and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/9, -0.2, -1, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -3, 1, 33, 3, -5 in decreasing order.\nAnswer: 33, 3, 1, -3, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 743 + -708.3. Let u = y - 34.6. Sort -1\/19, -1, u.\nAnswer: -1, -1\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8890534.\nAnswer: 2, 4445267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -137861 (base 15) to base 11\nAnswer: -58a896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 - 16*w)*(-2*w - w + 2*w)*(34*w + 0*w + 15*w)*(16*w - 2 - 6*w - 4*w) as v + c*w + p*w**2 + d*w**4 + m*w**3 and give d.\nAnswer: 4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/7 - (992\/(-217))\/(-32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -225\/2, 3\/4, 3074\/7 in increasing order.\nAnswer: -225\/2, 0.4, 3\/4, 3074\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 38*m + 92. Give k(-24).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -686 - -690. Is 63 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -4\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by -3?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2426, 3423, 4408, 5381, 6342?\n\"Answer: -6*q**2 + 1015*q + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {i: 1, z: 2, r: 2, y: 1, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*n**3 - 293*n**3 - 299*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:11 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 6*w**2 - w + 10. Let l be s(6). What is the fourth smallest value in -5, -3\/2, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/7 (b) 2\/7 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/(s\/(s\/s**20))*(s**5)**(-3\/11) assuming s is positive.\nAnswer: s**(-158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7321694728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3414.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = 4*i + 75, -31 = -k + 4*i. Let u = 16 - k. What is the first derivative of -m - 3 - 1 - u - 2*m wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0124 - -3672.0251\nAnswer: 3672.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-7))\/(10\/35). Let h(z) = z**2 + 3*z - 34. Calculate the smallest common multiple of h(o) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0024 times -41802\nAnswer: 100.3248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-150)\/(-4 + 9). Let k(c) = 68 + 20*c - 52*c + y*c. What is the units digit of k(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2105 divided by -213?\nAnswer: 2105\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24a87 (base 15) to base 2\nAnswer: -11100100110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2211*b**3 + 11*b**2 - 1. Let l(t) = -3*t**3 + 4*t**2 + 2. Let p(x) = l(x) - v(x). Find the third derivative of p(f) wrt f.\nAnswer: -13284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-27)\/3))\/(27\/35478*6).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + (-515)\/35. List the prime factors of -4*3\/30*p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 54a4b7?\nAnswer: -54a4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1\/2 - (8 - 7)). Suppose x*a - 5*y = 170, y = 3*a - 2*a - 42. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96, -90, -84, -78, -72, -66?\n\"Answer: 6*v - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -121*h + 118*h + 8, -5*b = h - 40 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w = 112. Suppose -7*o = 1 - 36. Suppose -4*z + 48 = -2*j - 2*j, -o*z = 2*j - 74. Calculate the highest common divisor of w and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2102 + 2103. What is the closest to w in -4, -2\/7, -0.82, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l - 3*l + (-2 + 1 - 2)*(-2*l + 3 - 3) + 5*l - 4*l + l)*(-2 - l + 2)*(-1 - 1 - 2).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/23 (b) -11 (c) -0.3 (d) -708\/13 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - 3\/(-3)*-1. Suppose -j - y = -6*j. Factor 1 + 1\/2*i**j + 3\/2*i.\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76499066 divided by -32102.\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 1117516*d\/3 - 745012.\nAnswer: (d - 2)*(d + 1117518)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 804072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58598 - 58598.0000024909. What is l rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*k - 6, -2*k - 10 = -k + 3*b. Solve -p + 2*p + k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11595 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n - y - 64 = 0, -4*n = 2*y - 120. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197080 divided by 1.\nAnswer: -197080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 15 = 0. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6037567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -63. List the prime factors of 10\/15*3015\/a.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -25*d + 1. Let y(b) = -2*b - 2. Let p(m) = -11*m - 10. Let z(a) = a + 1. Let j(q) = -p(q) + z(q). Let w(t) = -2*j(t) - 11*y(t). Calculate w(h(n)).\nAnswer: 50*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:48 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010100101011001?\nAnswer: -100010100101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9184)\/(-12240) - ((-88)\/45 - (-8)\/(-24)*-6). Let b be 2\/(-3) + 152\/102. Find w, given that -2\/17*w**2 - r*w + b = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(64\/(-408)))\/((-21249)\/(-3148)).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyaya.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4919\/19 + -259. What is the third smallest value in w, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 - 4*b - 5*b + 1. Is 12 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25104, -25097, -25090?\n\"Answer: 7*k - 25111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (1 - -1 - (262 + -250 - (1 - 0)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2182 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 50*c**2 - 64*c + 1355. Give b(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l - 114 = 264 + 646 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q + 9. Let v(k) = k - 1. Let t be v(-6). Let h be 1*3 + (t - -10). Let s be j(h). Round s to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -137, -5, 0.02, -0.3, -17, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/21)\/(2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9470\/9 + 53677\/45. Let w = -141 + x. Which is the closest to w? (a) 2\/5 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/44 + 1008\/(-33). Let l be 1\/10 - 147\/j. Solve 4*w - 12 = -2*i - 3*i, 6 = 2*w + l*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:26 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - m + 1)*(2 + 5 - 5) - 22792*m - 313 + 25782*m + 314 to the form n*m + v and give n.\nAnswer: 2988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308 or -66792\/217?\nAnswer: -66792\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 961*o - 2. Let j be h(2). What is j rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32626141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 47*o**2 + 130*o - 88. Let z be s(-44). Let w = 10 + -6. Solve z*j - w*j = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 246, 271, 298, 327?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3239 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:01 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 5*d**2 + 3*d - 4. Let i be y(-3). Solve 0 = -5*g + 4*k + k, -i*g + k = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 4*g)*(-g + g - g) - 14*g + 14*g + 4*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let a(j) be the first derivative of -22*j**3\/3 - 53. Calculate u(a(z)).\nAnswer: 1936*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148 divided by -122?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 12*i**2 + 100 + 202*i**2 - 216*i**2.\nAnswer: -2*i**2 - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - 1458\/(-36))*(-5 + 239\/27).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 58702*l - 3643377. What is i(-62)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**40)**(-2\/17) assuming g is positive.\nAnswer: g**(-160\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 100 = 7*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 28. Let t = -40.071 + q. Let y = 0.07099951 + t. What is y rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -110. Suppose 3*v - 2*j = -4, 2*j + 19 = -3*v + 7*j. Solve -3*m + 7 = -f*p - m, 5*p + 17 = v*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798023.\nAnswer: 798023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = 28*h - 45 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1396, 1342, 1264, 1150, 988, 766, 472?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24601, 46545, 68499, 90469, 112461, 134481, 156535?\n\"Answer: a**3 - a**2 + 21940*a + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21907 and 21641.\nAnswer: 24952073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/sqrt(2)) - 6*(sqrt(5) + (sqrt(45))**2).\nAnswer: -270 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 57?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 - 265.1. Which is the third biggest value? (a) -3 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -100083634.\nAnswer: 3\/100083634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 2*r - 100 = 0. Let l(d) = -d**3 + d - 1. Let a(h) be the first derivative of -3*h**4\/2 + h**3\/3 + 5*h**2\/2 - 5*h + 1. Determine r*l(p) - 2*a(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 8. Let z be n(6). Suppose z*l = l + 102. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:08 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 9*d + 14. Let k be l(-10). Solve -45 = -5*o - 5*g, 3*o - 12 = 5*o - k*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 599940 and 69387.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 + 7. Let z(k) = 2*k**2 + 6*k + 4. Let f be z(m). Suppose 4*t = 6*t - 120. Calculate the highest common factor of t and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**4 + 9*r**3 + 8*r**2 + 7. Let y = -18 - -23. Let k(p) = -p**3 - p**2 - 1. Let z(n) = y*l(n) + 35*k(n). Find u such that z(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dada when four letters picked without replacement from {a: 3, d: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/15 - (-32)\/(-20). Is n > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 2, -6, 0.2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*d + 30, -d - 10 = 2921*x - 2924*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2467394209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 5*h**2 + 4*h - 6. Let l be k(-4). Let i be 2\/l - (-11)\/(-3). Suppose 0 = 8*x + 13*x - 26*x. Which is the smallest value? (a) x (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 1 (c) 1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 10. Let h(f) = f**3 + 4*f**2 - f. Let s(q) = -2*q**2. What is y*s(w) - 2*h(w)?\nAnswer: -2*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2990700466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 355 = -5*f, -3*f - 52 - 9 = -x. Let k(u) = u**2 + 4*u + 3. Let r be k(-4). Suppose d = r*d - x. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 7. Let v(q) = 42 + q - 7 - 38. Let y(k) = 2*k**2 + 7*k + 1. Let i be y(-4). Let a = -1 + -1. Give a*x(u) + i*v(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10384 and 708?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -6094172891583.\nAnswer: -6094172891586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 19325*z + 19325*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 + 2*x - 226*x**2 - 2*x**3 + 222*x**2. Let z(w) = -3*w**3 + 5*w**2 - 3*w. Suppose 16 = -4*n + q, 4*n + 3*q + 16 = -0. What is n*z(h) - 5*o(h)?\nAnswer: -3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 11 = -4*h + 2, h - 2*s = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*1*(-2)\/2. Let x(l) = -l**2 - 22*l - 21. Let g be x(-21). Which is the second smallest value? (a) 0.1 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -78. Let i be s\/(-22)*2\/(-3). Calculate the remainder when 33 is divided by (i + (1 - -1))*12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 123813203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 2*k**3 - 6*k**3)*(-3*k**2 - 3*k**2 + 4*k**2) - 45*k**5 + 2 - 47*k**5 + 117*k**5.\nAnswer: 27*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**5\/5 + 60486*p**4\/5 - 80538*p**3\/5 - 261966*p**2\/5 - 120924*p\/5 = 0.\nAnswer: -1, -2\/3, 0, 3, 3359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5090)\/(-4072)*60\/(-4*(-36)\/32).\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 10*u - 5. Suppose 1 = 2*p + 19. Let b be y(p). Let j = -69 - b. What is the greatest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -282408\nAnswer: 1\/70602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 227*i + 1584. Determine k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1195*i + 156 = 1156*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o + 123. Let y be l(10). Let s be 101599996 + (-3)\/((-9)\/y) - -3. What is s rounded to the nearest 1000000?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, j: 7, u: 6}. Give prob of picking 2 j and 1 s.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -3, -121, -4, 3 in ascending order.\nAnswer: -163, -121, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1710 and 2718.\nAnswer: 258210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 2, y: 1, i: 1, q: 2}. What is prob of picking 1 i and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let p be z(1). Suppose -q - 2*t - p = -5, -q = t - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*o = -5, -6*o = -4*o + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -831967 by 22.\nAnswer: -831967\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + r**4)*(21 - 12*r - 4*r + 14*r).\nAnswer: -2*r**5 + 21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3715*s + 3715*s - 1024*s**3.\nAnswer: -1024*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 i when three letters picked without replacement from iiillilliill?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2459*i + 14. Let x be g(-6). Let c be (-10 + 8)\/(2\/x + 0). Let d = -32768 - c. Round d to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*m - 18, m = 3*i - 23 + 63. Let c = i + 18. Suppose -t + 343 = c*u + 2*t, t = -4*u + 341. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*o - 110, 4*o + n - 88 = -n. Let w = -18 + o. Factor 5*m**4 + 2*m**3 - 13*m**4 + 7*m**w + 0*m**2 - m**2.\nAnswer: -m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 - 2*g + 5. Let q be u(0). Suppose 2*j - 32 = -5*p, -5*p + 24 = -j - 20. Solve -n + q*n - p = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.2 - 18.5. What is the second smallest value in 3\/8, -3\/7, t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2. Let u(v) = 2*v - 2. What is u(g(z))?\nAnswer: -8*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31312101331 (base 4) to base 9\nAnswer: -6742631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 s when three letters picked without replacement from {o: 2, u: 4, s: 5, k: 1, c: 2, i: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 21745?\nAnswer: -21750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 49*w**2 - 2*w - 11. Let l be z(5). Suppose u + 2*k = 5*u - l, 0 = -u + 5*k + 301. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001134897 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - 6 - -3 - 14)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2436090090 by -6.\nAnswer: -406015015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y*y)\/y)**(-21)\/(y**1*y)**(-1\/49) assuming y is positive.\nAnswer: y**(2060\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 - 5*g. Let l(r) = -r**2 + 8*r - 2. Suppose 3*p - c + 20 + 20 = 0, 3*p = 3*c - 42. Let n be 4\/26 - 89\/p. Let x be l(n). Determine j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17884417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3)\/2*12375\/(-750)*2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386899837?\nAnswer: 386899837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*(x\/(x\/(x**(2\/25)\/x*x)))\/x*x)\/x*x)\/(x*x\/x**(-9)))\/((x\/((x**(-2\/3)\/x)\/x*x))\/x**(1\/4)))**(-2\/15))**41 assuming x is positive.\nAnswer: x**(151741\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -331800 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -174, -343, -514, -687, -862, -1039, -1218?\n\"Answer: -n**2 - 166*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2 + 5873*j + 11778. Determine b(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k + 8*k - k**2 + 25*k - 104*k in the form v + t*k**2 + x*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*6\/(-81)*6\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -2*q, 0 = o - 4*q + 22. Suppose 4*b - 9 = 7*b + 2*x, 26 = -4*b + 2*x. Sort b, o, 2 in descending order.\nAnswer: 2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -1, 0.91, 4\/7, -2\/11, 9, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55277384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.16. Let i = -0.24 - l. Let h = 29 - 86\/3. Is h greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let p(x) = 1731*x + 343. Determine b(p(l)).\nAnswer: 1731*l + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2135 + -1959. What is the smallest common multiple of d and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13157323, -26314630, -39471937, -52629244, -65786551?\n\"Answer: -13157307*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -266*x + 265*x. List the prime factors of x.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10967385)\/(-102260) + (-1)\/4 + 1\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-5) - -1)\/(4\/5). Let k = -18\/77 - -1\/11. What is the second biggest value in 0, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/((-117845)\/(-147))*39.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**6\/1980 - w**5\/60 - 2*w**4\/11 - w**3\/3 + 183*w + 57. Let k(t) be the third derivative of x(t). What is y in k(y) = 0?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50 + 735?\nAnswer: 6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10530)*-18)\/(8\/(-3))?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 12*q**2 - 22*q + 17. Let l(w) = -2*w**3 - 25*w**2 + 37*w - 33. Let b(u) = 3*l(u) + 5*p(u). Calculate b(-15).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -310\/33?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + (-65)\/10)*18\/(-15). Let r = -4\/3 - -5\/6. Which is the third smallest value? (a) z (b) 2\/11 (c) -6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 31. Let n = l - -37. Let p = 6 - 0. Put 5, p, n in ascending order.\nAnswer: n, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-20)\/(-5)))\/(7\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 + 590*j**3 - 582*j**2 - 331838*j - 2862184 = 0. What is j?\nAnswer: -13, 29, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16.559, 0.0974, -0.1 in decreasing order.\nAnswer: 0.0974, 0, -0.1, -16.559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74508, -74519, -74534, -74553, -74576?\n\"Answer: -2*q**2 - 5*q - 74501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31797964 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(9)\/(-2*sqrt(3)) - sqrt(108)*1))*6)**2.\nAnswer: -936*sqrt(3) + 4707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*t - 28, 4*u = 4*t - 2*t + 20. Let j be ((-47)\/t)\/(2\/132). What is the units digit of j\/44 + 3\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.106 - -197.894. Let u = l + -199. What is the nearest to -2\/5 in u, 0.4, -2.8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/9*q**2 - 4\/9*q - 20\/9 + 4\/9*q**3 = 0. Calculate q.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1.7, 7, -1, 31.\nAnswer: -1, -3\/4, 1.7, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65156 = 110*a - 66*a - 58*a. What are the prime factors of a?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39766424.2 rounded to the nearest ten thousand?\nAnswer: 39770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 0.5, 0.2, -18\/13, -4, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -48. Let t be (-10)\/8*(2 + -6). Solve p = t*a - p + r, -a = -p - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 3}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 14*t - 17. Calculate l(15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8094404.\nAnswer: 2, 67, 30203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206381462*c**2 - 112361156*c.\nAnswer: -412762924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 6*q**2 - 39*q + 30.\nAnswer: 3*(q - 2)*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1070\/47 + -134827\/470. Let t = o - -264. What is the fourth biggest value in -5, -1, t, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.84.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 988 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183884210.\nAnswer: 2, 5, 47, 239, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40*(-51)\/(-136)*2*3\/54. Is -381 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2584)\/92*-1 - (17 + (-2 - 5145\/345))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82011 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (188 - 46 - 52)*(-4*x**2 - 7*x + 7*x) as h*x + w + t*x**2 and give t.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1768 and 520.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/8))\/(d*(d*d**(2\/7)*d*d)\/d*d))\/(((d**0\/d)\/d)\/d)**(-2\/25) assuming d is positive.\nAnswer: d**(-5111\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.225 + 17.642?\nAnswer: -20.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 + k + 113. Let x = 250661 - 250655. What is the remainder when i(0) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 15*f**2 + 18*f + 13. Let i be (5 + (-115)\/10)*-2. Let k be l(i). Let t = 96 + k. What is the third biggest value in 0.1, t, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/2 + 1401*t**4\/2 - 5621*t**3\/2 - 1401*t**2\/2 + 2810*t = 0. Calculate t.\nAnswer: -1405, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmnmmmmnmnmmmmmnnm. Give prob of sequence nnnn.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 - 163. What is the nearest to 0 in -5, v, 1\/5, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18090165 is divided by 674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840) - (sqrt(3840)*-2 - sqrt(3840)))*-4)\/(sqrt(48)\/(1*sqrt(4)) - sqrt(300)*-4).\nAnswer: -128*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 131 = -2*p + 38, -5*p + 426 = 4*t. Let d = -86 + p. Suppose 0 = -2*o - d*v - v + 168, 4*o - v = 330. List the prime factors of o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = -0*k - 4*m, 4*m = -3*k + 15. What are the prime factors of k*5\/((-25)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j\/(j\/(j*j**(24\/7)*j*j)) assuming j is positive.\nAnswer: j**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from shhsggssg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1*412*((-54)\/(-24) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8 - 1 - 73*g + 2 - 29*g. Suppose 12 = -v + 10. List the prime factors of f(v).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -3*s + 0*s**3 + 0 - 1\/60*s**5 + s**2 + 0*s**4. Let g(y) be the first derivative of i(y). Let x(b) = -b. Calculate g(x(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 20*x - 15*x - 15*i + 19*i, 5*i = 11*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1027*r**6 + 2574*r**2 wrt r.\nAnswer: 123240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1454 - -2246. Suppose 0 = -3*x + 4*f - 2*f + t, -3699 = -3*x + 3*f. List the prime factors of x.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**3 - 6*o**4 + 2*o**4 - 10*o**3)*(-468 + 468 - 34*o).\nAnswer: 136*o**5 + 102*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepppepppep. What is prob of picking 3 p?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947127?\nAnswer: 2947127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 15 - 13 + 20 + 190*y - 193*y.\nAnswer: -3*y + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 13*n**2 + 3*n - 34. Let s be k(13). Solve -4*m + 5*v - 18 = 0, 4*v + 8 = -3*m + s*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 130102?\nAnswer: -130110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535345 and 2905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 19. Let x(y) = 38*y**2 - 2. Let l be x(v). Suppose 3*h + 3*w = -h + l, -5*w + 46 = h. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*1\/4*(-12)\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47803, 191227, 430269, 764929?\nAnswer: 1195207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458165.\nAnswer: 5, 277, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/2092375 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*b*k**2*s + 1008*b*k**2 - 7*b*k*s - 2*b*s - 21*b - 8*k*s + 1 wrt k?\nAnswer: 320*b*s + 2016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -172*c**3 - c**2 + 5*c - 2. Let w(n) = -n**2 + 4*n - 1. Determine h(q) - 2*w(q).\nAnswer: -172*q**3 + q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**7\/105 + k**6\/30 + k**5\/30 - k**4\/6 + 50*k**2 - 2. Factor a(b).\nAnswer: -2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.5 (b) -4 (c) -22 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-15*(-9)\/1125.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1555906 and 500406.9.\nAnswer: 2056312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(7) - (sqrt(7) - sqrt(28)*2)))\/((sqrt(75) - sqrt(75)*1)*-4 + sqrt(75)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 802725 = -2*r. Let m = r - 18146. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2906799*m. Let k(h) = 2*h**2 + 4. Calculate k(i(p)).\nAnswer: 16898960852802*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/398 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i + 51 = l + 57*i, 20*i - 198 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btkkoiybtyytttkykot. Give prob of sequence kyi.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/165)\/(50\/15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 1146531?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 3 - h**2 + 16 - h**4 + 0*h - 2*h in the form y + x*h**3 + w*h + v*h**4 + c*h**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (21\/14)\/((1620\/(-16))\/5)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40 - 12 = 3*d, -2*d - 8 = -4*u. Suppose -2*g + 2 + d = 0. Suppose -g*z + 39 + 349 = 0. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 3. Let f be m(-5). Suppose 155 = -5*h + 595. What is the greatest common divisor of h and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-3) - (-38 - -6) is divided by (-14)\/(-2) + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 118, 335, 738, 1387, 2342, 3663, 5410?\n\"Answer: 10*s**3 + 3*s**2 + 12*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*i**2*u**3 - 241*i**2 with respect to u.\nAnswer: 723*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/399)\/(12\/35) - 1247\/(-1032).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/5))\/p)**(-2\/19)*(p**(-1\/4))**(-1\/19) assuming p is positive.\nAnswer: p**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by 541?\nAnswer: 570\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886074 is divided by 40275?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -4948.974?\nAnswer: -4948.974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 75, 184, 339, 540, 787?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -39, -34, -31, -30?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28051\/31350 - -14\/475. Let u = r - 12\/11. Do u and -24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((0 - -7) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 590 from -1459061.5.\nAnswer: -1459651.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-36)\/21) + (-18)\/63*7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**5 + 0*f**5 + 3*f**5 - 4 - 2*f**5 + 4 + f**5 - f**5 + 2*f**5 + (f**4 + 2*f**4 - 2*f**4)*(f + 0*f + 0*f) - f**3 + f**3 - 2*f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53362267 and -637.6.\nAnswer: -53362904.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9922572*w**3 - 465415*w**2 - 4*w - 2 wrt w.\nAnswer: -59535432","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(48\/(-9)))\/(1708\/56 - 30).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14658, -58099, -130328, -231345?\n\"Answer: -14394*i**2 - 259*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 21*q = -164 + 13 - 36, q - 4 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3\/(-2))*(1 - -1). Calculate the common denominator of (62\/(-5))\/(-2*i\/10) and (-8)\/(-20) + (-141)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -10532?\nAnswer: 10525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9603719 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -36) + 2 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:16 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:06 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000010 + 1000001000110010?\nAnswer: 1000010000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-5)\/(-15))\/((-1)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702900 divided by -225.\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 797, 3200, 7233, 12914, 20261, 29292?\n\"Answer: 3*o**3 + 797*o**2 - 9*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 3808\/451?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914*h + 6107*h + 3013*h + 7313*h.\nAnswer: 18347*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 10*g**2 + 11*g - 4. Let z be k(11). Let w(s) = 2*s + 11. Let u be w(-8). Sort 4, z, u.\nAnswer: u, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220121221002011 (base 3) in base 11?\nAnswer: -742a066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 32 = 3*f. Suppose 0 = -0*n + n - 4*x + 14, -2*n + 8 = x. Solve 0 = -4*j + 4*l - 8, -12 = n*j + f*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27329 divided by -13.\nAnswer: -27329\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 3, b: 8, t: 3, e: 1}. What is prob of sequence bre?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -3*d**4\/4 - 13*d**2\/2 - 11*d - 95. Let z(n) = n**2 + 7 - 3*n**2 + 3*n**2 + 4*n**2. Calculate -3*b(q) - 5*z(q).\nAnswer: 2*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3, 0*g = -3*g - 3*v + 45. Find the third derivative of 40*o**3 - 6 - g - 39*o**2 + 18 wrt o.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 11 + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-1488)\/1032)\/62)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3285*b - 7457. What is a(2)?\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnnfnfffff. What is prob of picking 1 f and 1 n?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 154.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1936, -3871, -5810, -7753, -9700, -11651, -13606?\nAnswer: -15565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 10 + (1 - 3). Suppose 45 = 3*y + 3*o, -u*o = -2*y - 1 + 31. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318742\/(-159)*3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -573, -806, -1041, -1278?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 90363.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293854?\nAnswer: 2, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -263. Let d = 160 + x. Let i = -22 - d. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + (0 - (1 + -4)). Let o be 2\/6 - l\/3. Suppose -o*i + 571 = i + 5*d, 5*d = -5*i + 720. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025161844 to 7 decimal places.\nAnswer: 0.0025162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/21*-7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a**3 + 2*a + 1. Calculate the least common multiple of 42 and v(-1).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271719 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 282, 569, 856, 1143, 1430, 1717?\n\"Answer: 287*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 31 = -2*t, t + 2*w - 11383 + 11406 = 0 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11064, 22118, 33170, 44220?\n\"Answer: -d**2 + 11057*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-5) - (-71 - -73). Put -1, -1\/2, 3, -2\/37, g in descending order.\nAnswer: 3, g, -2\/37, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686*w**5 - 3*w**4 - w**3 - 27737*w**2 wrt w?\nAnswer: 41160*w**2 - 72*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 190*m + 2. Let t(q) = q**2. What is i(t(x))?\nAnswer: 190*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-1 + 4 - 2)*(-42*p - 56*p + 82*p) + (3*p - 2*p - 3*p)*(1 - 4 + 1) + 0 + 0 + 2*p - 3*p + p + 3*p - p - p + 4*p as k*p + y and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58972394771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*p = -75, -p + 2*p + 20 + 20 + 25 = 70 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60887.5867 rounded to the nearest 100?\nAnswer: 60900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-5)\/(-8)) - 3. Suppose a*w - 2*m = 654 + 535, 4*m = 4*w - 944. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/8 or -5?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4674468 - -16454468. What is h rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 72. Suppose 5*i - 12 = d. What is the greatest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 4*i**2 - i + 6.\nAnswer: -(i - 1)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (10 + -3 - (-1 + -1)) - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 4 = -10*p, 8*h - 56 = 4*h - p for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.41 + 52.41. Let c = -93.8 + t. Round c to zero dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*r = -332*r + 11*p, 2*r - 10*p + 3*p = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-10*i + 108 - 108)*(-6 + 10 + 4).\nAnswer: -160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k + 2*c - 80, -3*k - 3*c = 27. What is the lowest common multiple of 21*(k\/6 + 3) and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g\/g**(2\/23))**13\/(g**(-2\/39)\/g**(-2))**(2\/99) assuming g is positive.\nAnswer: g**(-9339394\/88803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 88*z**2 + 13*z - 11. Let c be 8\/(-6)*(-603)\/268. Is n(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three quarters of a tonne in kilograms?\nAnswer: 5750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + -18. Let q = m - -73. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f = 485. Let n = -38 - f. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-1)*(-126)\/(-504)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 2*a - 3*a + 4*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -653*n - 5*n**3 + 703*n + 3*n**3 - 3*n**3 - 14*n**2 as w + u*n + i*n**3 + z*n**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46854.8 - 46855. Which is the closest to -4? (a) i (b) -0.02 (c) 1\/5 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.959315 plus 2?\nAnswer: -55.959315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 6. Let z be ((-18)\/(-3))\/3 - -1. Suppose -6 - 23 = -z*n - 4*u, -t*u - 1 = -n. Solve -5*b - 4*w = -n, w + 1 - 5 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155529, -155530, -155533, -155538?\n\"Answer: -d**2 + 2*d - 155530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -36965\/39 at least -948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -6.4. Let l = 6.9 + d. Let c = l + 0.045. Round c to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-6\/5)\/(u**0)**15*(u**(4\/7)*u*u\/u**(-2\/5)*u)**(-34) assuming u is positive.\nAnswer: u**(-4726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21*p**2 + 132*p - 1. What are the prime factors of g(-14)?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alinnzc. Give prob of sequence iall.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8051*f - 1553*f - 2142*f.\nAnswer: -11746*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = -14. Suppose b = 5*o - 3. Find the third derivative of 3*a**4 - 5*a**2 + 2*a**o + 4*a**2 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 658*a**2 - 140*a - 2899. Is w(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111788?\nAnswer: 2, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -441*n - 14112. Let s be u(-32). Solve s = -4*p + 12, 4*a + 5*p - 6 = 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -39*g + 17. Let s be b(2). Suppose 10*l - 620 = 15*l. Let v = s - l. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (10 - (5 - (-2 + 1)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/32395 and -17\/23560.\nAnswer: 259160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 265, 563, 1147, 2113, 3557, 5575?\nAnswer: 8263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7993*k**4 + 1158*k**3*l - 1328*k**2*l + 2*k**2 - 115*k*l + 2*k + 2 wrt k?\nAnswer: 191832*k + 6948*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p + 11*p**2 + 23*p - 9*p - 2*p wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*f - 3*f + 183, w - 2*f - 39 = 0. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*s + 4*j + 2, -j + 14 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.5340937 to three decimal places.\nAnswer: -60.534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -23*n**2. Let f(c) = -6*c + 88. Let r(g) = -26*g + 396. Let s(i) = -22*f(i) + 5*r(i). What is s(l(d))?\nAnswer: -46*d**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 10*s - 22*s)*(27*s**2 + 24*s**4 - 27*s**2) - 2*s**5 - 2*s**5 + 5*s**5.\nAnswer: -503*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63367669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -0.18. Let o(z) = -8*z. Let h be o(1). Let s be (6 - 1)*h\/20. Which is the closest to m? (a) 1\/9 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + 27*d - 91. Suppose -4*l - q = -9, 0 = -53*l + 49*l + 2*q + 30. Determine b(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**3 + 3*o**2)*(3 + 2 - 1) + 4*o**3 - o**3 - o**3 + (-2*o - 2*o**2 + 2*o)*(-2*o - o + o) + 35*o**3 + 53*o**3 + 23*o**3.\nAnswer: 109*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (25 + 24 + -23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1232 or -121?\nAnswer: -1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvpgkpgd. What is prob of picking 1 k and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:20 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.2666 millennia to centuries.\nAnswer: 32.666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {m: 1, b: 2, f: 1, n: 1, y: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001344 rounded to six dps?\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3469157.\nAnswer: 37, 93761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 33 + 1*-2. Suppose 2*j + 3*j - l = -b, 5*b = 4*j + 5. Let s = b - 0. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31492?\nAnswer: 2, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + (-1 - (0 + 0)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 688 and 852002?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*c - 548*c = -50 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4067 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1644 + -1042. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216.4092 to the nearest ten.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.47 - 0.47. Let f = 5 - h. Which is greater: -45 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1705 (base 9) to base 15\nAnswer: 5bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 1373018*j**2 + 8*j + 1373043*j**2 + 3*j**4 to y + f*j**4 + r*j + d*j**3 + w*j**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = r, 4 = -0*t + 3*t + r. Suppose 5*k - 4*z - 22 = 0, -2*k + 2*z = t - 11. Suppose 0 = -k*l + 7*l - 100. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15463014 to the nearest integer?\nAnswer: 3932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4, 7*w = 2*w + 3*s + 12. Calculate the lowest common multiple of 4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*p**3 + 2)*(-13210*p + 5338*p - 22020*p - 5518*p - 5866*p) to the form h + v*p**4 + q*p**3 + o*p + u*p**2 and give v.\nAnswer: -123828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-10))\/(-3*(4 + -2)). Which is smaller: c or -36\/17?\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 28 (b) -1\/8 (c) 18 (d) 1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**(-6)*u)\/u)*u**(-2\/23) assuming u is positive.\nAnswer: u**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 16 = 4*g, 7*d - 5*d + 2*g - 13 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(153)\/sqrt(3)*-4)\/(5*-1*sqrt(3)) - (sqrt(272)*-1 + 4 + -2*(sqrt(272) - -2*sqrt(272))).\nAnswer: -4 + 143*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2020+36.53376\nAnswer: -1983.46624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/14*(-4)\/(16\/(-681)). Suppose -5*o - 2*t = -1294 + 153, 3*o = -3*t + m. Is 230 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8949 is divided by 169?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/7 - 3952*h\/7 + 11793 = 0.\nAnswer: 21, 3931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 4. Suppose 2*q = n - 1. Let p be (-20)\/(-16)*q\/10. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 523665584 or 523665582?\nAnswer: 523665584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21386554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 12*w - 7*w. Suppose -4*q - k = -9, -2*k - 3*k = w*q - 15. Suppose 3*n = 4 - 16, 3*n = -q*h + 1570. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417 - -418. Solve s - 14 = -4*n, 4*n - l = 4*s + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h + 828. Let t(j) = -18*j + 1654. Calculate 11*g(a) - 6*t(a).\nAnswer: -2*a - 816","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19001 - -19077.845. Let b = x - 77. What is b rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 - 1\/60*i**5 + 0*i - 13*i**2 - 1\/2*i**4 - 11\/6*i**3. What is the units digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s - 3*k - 2*k, 13 = -s + 4*k. Solve -y = -5*l + 2, s = 3*y - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*t + 118 - 94 = 0, -55*h + 8*t + 561 = 10*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2413356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.331734 minutes?\nAnswer: 139904.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g + 23*g + 34*g + 240 = 0. Solve 0 = 12*w + g*w + 108 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-248)*15524714\/9. Let k = -41733 + l. Let r = k + 2\/31. Find the common denominator of -55\/8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*q - 5876254*i*q + 2*i - 299316589*q with respect to i.\nAnswer: 2*i*q - 5876254*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108)\/sqrt(4) - (sqrt(108) + 1 - sqrt(3) - (sqrt(192) + 1 + sqrt(192))))**2*-4.\nAnswer: -2388 - 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 8 + 16. Suppose 2*a - 52 - l = 0. Calculate the lowest common multiple of 3 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1117.\nAnswer: 5\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i*i*i**5)\/(i*i**(1\/2)*i*i)**(-2\/103))\/(i*i*i\/(i*i**1)*i*i**(1\/7)*((i*(i*i**(-6\/7)*i)\/i)\/i*i)\/(i**(2\/21)\/i)) assuming i is positive.\nAnswer: i**(6224\/2163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1373698, -5494805, -12363316, -21979231, -34342550, -49453273, -67311400?\nAnswer: -87916931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 - 214*k**3 + 17280*k**2 - 51200*k\/3.\nAnswer: 2*k*(k - 160)**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 8*z**2. Let o be 10\/(-3 - -8)*(-18 + 19). Let a(c) = c**3 + c**2. What is o*x(b) - 6*a(b)?\nAnswer: -2*b**3 - 22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let r(l) = -152*l + 212659. What is r(v(f))?\nAnswer: 304*f**2 + 212659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j**2*m + 62*j**2 - 26*j + 46*m wrt j?\nAnswer: 30*m + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywppwwvvy. Give prob of sequence vyp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1 - 5)*15\/(-9). Suppose 4*q - 101 = -3*i, 0*q - 5*q = t*i - 170. Calculate the remainder when i is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s = 51*s + 80. Is -81 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 20*m = 0. Which is the third smallest value? (a) m (b) 0.22 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 3*n**4\/8 + 41*n**3\/6 + 27*n**2. Is i(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202517396.\nAnswer: 2, 17, 2978197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.6 - 9.68. Let c = -16 + s. Let q = c + -0.82. What is the nearest to -1 in q, -3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0032, -5, -0.2, 4, -3\/5 in descending order.\nAnswer: 4, 0.0032, -0.2, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rge when three letters picked without replacement from eeregrgr.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 24*k**2 - 22*k - 19. Let u be c(23). Solve 3 - 19 = -u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 1, x: 3, a: 4, b: 8, j: 2}. What is prob of sequence qxq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41332634\/(-10080) - (1 + 0)*-5. Let x = p + 20479\/5. What is the common denominator of x and -69\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.307 * 57642\nAnswer: 17696.094","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 5 = 3*j, j - 19 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 + 8*f + 7. Let d = -385 + 389. Suppose -2*j = 5*k - 30, d*k - j = k + 29. Determine q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v**2 + 2. Let w(d) = d. Give w(i(o)).\nAnswer: -29*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 61*v - 81. Calculate f(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 63168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(-3 + y + 3) - 2 + y**2 - 8*y**2 + 5*y**2 - 3*y**2 + 9*y + 4*y**2 - 13*y.\nAnswer: -2*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 2. Let k(x) = 3*x - 2 - x - 2. Let j be k(4). Suppose -2 = 5*o + 2*f, 7*f - 20 = j*o + 4*f. Determine c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 7)*(-1)\/(-8). Let s(y) be the second derivative of -2*y**2 + 0*y**3 + 0 + v*y**4 + 1\/20*y**5 - 2*y. Solve s(k) = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*c + 520*c**4 + 673 - 76*c**4 + 116*c wrt c?\nAnswer: 1776*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 146, 954, 3070, 7148, 13842, 23806?\n\"Answer: 109*b**3 + 45*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 29004*c + 58052*c - 29048*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 3, s: 1, u: 3, l: 4, m: 1}. What is prob of picking 1 j and 2 u?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83996230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400 and 225200.\nAnswer: 225200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 8*h**2 - 38*h**2)*(-5*h - 5 + 5) + 2*h**3 + 2 - 1 - 2.\nAnswer: 147*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13034 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, r: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 151.3? (a) -1\/3 (b) 3 (c) -2.71 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 3:57 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 11. Let b be x(3). Let a = b - -5. Solve a = -3*n + w + w - 19, -2*n = -5*w + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (10 + -6)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28641, 28645, 28649, 28653?\n\"Answer: 4*m + 28637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r - 2\/3*r**3 - r**2 + 0. Let d(p) = p. Give -2*d(m) - i(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 15303807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 45. Let i(b) = -m - 6*b - 51 + 103. Let o(y) = y**2. Calculate i(o(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 12560553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 take away 296866.079?\nAnswer: -296867.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**11\/997920 - i**10\/151200 + i**9\/90720 - 4*i**5\/15 + 3*i**2. Let h(b) be the third derivative of d(b). Factor h(f).\nAnswer: f**3*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49927.27 litres?\nAnswer: 49927270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4535 and -4536 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 10 + -16 + 19 + -2 + (-2 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.5978394 and 0.046.\nAnswer: -8.5518394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1090 + -1089.91. What is the third smallest value in 1\/7, 5\/3, p?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 224*y**5 + 22*y**4 - 89732*y**2 wrt y?\nAnswer: -240*y**3 - 13440*y**2 + 528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67 - 5.67. Let t(i) = -i**3 + i**2 - i - 1. Let x be t(0). What is the nearest to -1 in x, u, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-1))*(-447)\/(-4172)*-14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4601*v - 168. What are the prime factors of n(-1)?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -32e56?\nAnswer: 32e3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(4\/3)))*a\/(a*a**(3\/7)\/a))\/((a*a**0)\/a)**(1\/10)*(a*(a*a**0)\/a)\/a**(-2\/9)*a**(-2)\/a*a**2 assuming a is positive.\nAnswer: a**(197\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 570585 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(539) + -2))**2 + ((-3 + sqrt(275) + sqrt(11))**2 - (sqrt(11)*3 + 2)**2).\nAnswer: -300*sqrt(11) + 5189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 6*f + 1. Determine y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264810.9 decades in months?\nAnswer: 31777308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/60 + 3*y**4\/8 - 7*y**3\/6 - 2*y**2. Let c be d(-6). Let b be c\/(-5) + -2 - (-1 + -6). Is 0.1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**7\/7560 - w**6\/2160 - w**4\/6 - 21*w**2 + 3*w - 16. Let i(x) be the third derivative of a(x). Factor i(t).\nAnswer: t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + 0 + 3 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = -3*m - 3, -11 = 2*m - 5*s. Suppose -b + 1 - 6 = 0. Let z = 0 - 0. Put z, m, b in ascending order.\nAnswer: b, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*j = 10, 4*x + 2*j = 25 - 5. Suppose 5*m + 48 = x*q, 3*m = -2*q + 3 - 1. Suppose u - 3 = -q. Let k(s) = s**3 + 3*s**2 - 4*s + 2. Give k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 5*g. Let s(z) be the second derivative of z**5\/20 + z**4\/3 - 5*z**3\/6 + 2*z**2 + 4*z. Let m be s(-5). Does 4 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 4\/7 (c) -0.09 (d) 0.2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*-986.1.\nAnswer: -56207.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7274*0.1\nAnswer: -727.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9919984*x**3 - 14054576*x**2?\nAnswer: 59519904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -20*b**2 - 39*b - 13. Let j(v) = 5*v**2 + 9*v + 3. Let h(d) = 3*g(d) + 13*j(d). Let w(m) = 43*m**2. Give w(h(i)).\nAnswer: 1075*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) -426 (c) -3\/4 (d) -1.09 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22443751 plus 0.11?\nAnswer: -0.11443751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.031 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -45. Let d = j - 38. Suppose -5*c - 3*n + 159 = -0*n, 3*n = -d*c + 60. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 24, 52, 82, 108, 124, 124, 102?\n\"Answer: -d**3 + 10*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*k + 80660 = 62*k. Calculate the remainder when k is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 1\/12*u**5 + 7\/24*u**4 + 0*u + 0*u**3 + 0 + 13*u**2. What is the second derivative of r(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 620481*b**2*u - 23*b**2 - 369*b + 758*u wrt b?\nAnswer: 1240962*u - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + s = -z + 2, -3*z - 18 = -3*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -21. What is the nearest to 1 in 3, a, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 15841556*z.\nAnswer: 4*z*(z + 3960389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwe when three letters picked without replacement from kwvwvkwvekawewea?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z**2 + 16*z + 10. Let y(n) be the third derivative of 7*n**5\/60 - 5*n**4\/24 - n**3\/2 + 11*n**2. Determine -5*w(k) - 16*y(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*z - 9 = 0, 37*m = 36*m - 5*z + 21. Let s(n) = 4*n**3 - 2. Let q(t) = -t**3 - t**2 - 1. Determine m*s(i) - 2*q(i).\nAnswer: 6*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27445 - -27448. Let m(n) = 3*n**3 - 5*n**2 - 2*n + 8. What is m(d)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - (-1 - (2 + -2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + 0 + 8 + -16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 5*z**2 - 12*z)*(-4*z**2 + 0*z**2 - 7*z**3 + 11*z**3).\nAnswer: -20*z**5 + 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**6 - 1\/14*g**8 + 0 + 0*g**5 - 2*g + 0*g**7 + 0*g**3 + 0*g**2 - 1\/12*g**4. What is the third derivative of m(t) wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332742485 to the power of 1\/2, to the nearest integer?\nAnswer: 18241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987 divided by 103?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 565 = 3905. Let a = z - 443. Does 100 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151142, 151059, 150976, 150893?\nAnswer: 150810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -21*y**3 + 6*y**2 - 5*y. Let m = -14006 + 14001. Let o(n) = 31*n**3 - 9*n**2 + 7*n. Give m*o(i) - 7*p(i).\nAnswer: -8*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 + 0.0188\nAnswer: 4.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/39, 0.3, 125, 2.\nAnswer: -4\/39, 0.3, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-9\/4)*c*c))\/(c\/c**(-15))*(c**(1\/5)*c)\/(((c*c*c\/c**(-3\/2)*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/29 - -13\/58. Suppose -16 = -5*f + 3*f. Let m = -12 + f. Which is the nearest to 0? (a) -4\/5 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -9*l**5 - 1037*l**4 - 2273*l**3 - 1471*l**2 - 226*l = 0.\nAnswer: -113, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/10 - y**4\/8 - y**3\/3 - 6*y**2. What is the tens digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d. Suppose -2*w + 2 = 3*j - 1, 0 = -3*w. Let b(v) = -3*v**2 - 10*v - 9. Let y(q) = j*b(q) - 2*x(q). What is y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k = 5*c + 3, -2*c + 2 = 0. Solve x + k = 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 302 = -25*s - 35*s + 10*b, -4*s - 308 = -10*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -39. Let r(z) = 2 - 22*z - 3 + 0 + 8*z. Calculate the remainder when r(-1) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnnmntpnmeznezmp. What is prob of picking 1 p, 1 z, and 1 e?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 9 = 3*o, -2*o = 11*v - 6*v + 30 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b = -38. Let c = b + 13. Let y(s) = -2*s - 1. What is y(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c**3 + 6*c**2 - 5*c + 4. Determine s(2).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*w + 78, -5*j + 13556*w - 13551*w = 120 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 + 43 + 150*q + 52 to the form a + g*q and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 v, and 1 q when four letters picked without replacement from {s: 5, q: 1, v: 3}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*a + 75, 134 = 4*a + a - 4*t. Suppose -m - 5*o = -a, -m + 21 = o + 3. Find the common denominator of m and (0 - -25)*(-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90b (base 13) to base 7.\nAnswer: -4316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.08 - 1.1. Let c = -0.12 - a. Let w = -0.1 + 0.2. What is the closest to c in -5, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11784, 11839, 11894, 11949, 12004, 12059?\n\"Answer: 55*j + 11729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 708698.4 milligrams?\nAnswer: 708698400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5eaeb1 (base 16) to base 5.\nAnswer: 3042030410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 9*y**3 + 3*y - y**3 - 14*y.\nAnswer: 5*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 7. Let p be q(10). Let s = -18 + p. Which is smaller: 1\/23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.141 - 9.489. Let o = 0.132 - 3.202. Let a = m + o. What is a rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3979343.\nAnswer: 3979346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 = 3*s. Does 3 divide (-7)\/s - 1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481025561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b + 16*b + 670*b.\nAnswer: 746*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2449060 (base 11) to base 13.\nAnswer: b610b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:24 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4119*0.12.\nAnswer: 494.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 36. Suppose 0*f = -f - 5*b - 13, t*f + b - 19 = 0. Let z(i) = -i**2 + 12*i. Let q be z(f). Solve q*j - 4*j = 4*d - 24, -4*d - j + 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346 + -6576\/19. Which is the closest to 1? (a) 4 (b) o (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14050177507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5255*r - 15776. Determine h(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 2, u: 1, j: 4}. Give prob of picking 1 n and 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 = 91\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuysvliv. Give prob of sequence yslv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kfttktttff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((3 - (11 - -2)) + -1 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*v**4 - 55*v**2 + 2*v - 8033 wrt v?\nAnswer: -208*v**3 - 110*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3163 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g + 181*g = -2790 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, -3, 4, 5, -63 in decreasing order.\nAnswer: 5, 4, -3, -63, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(4\/6)\/(24\/18). Let y(r) = r + 1. Let d(s) = 16*s + 16. Let n(q) = 145*q + 145. Let f(z) = 55*d(z) - 6*n(z). What is b*f(j) + 22*y(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 17*k + 138 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(7\/3))**35 assuming f is positive.\nAnswer: f**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 45.016. Let p = 25.984 - h. Let y = -36 + p. Which is smaller: y or -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1480 - (-55 + 31)) + -4*2 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 + 807. Suppose 68*j - 70*j = p. Let v be j\/(-30) + (-6)\/10. What is v rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (-3 - 1) - 37\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l**2 + 9*l + 5. Let g(y) = y**2 + y + 1. Let s(v) = 5*g(v) - u(v). Find the second derivative of s(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 2087, 7161, 17061, 33401, 57795, 91857, 137201?\nAnswer: 195441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = h + 279. Find m, given that 2\/5*m**h - 4\/5 - 8\/5*m**2 + 2*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let j = -76 - -86. Suppose 5*c - c + 80 = 0. Let m be (1 - 1) + 0 - c. What is the highest common divisor of m and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 976\/48 - 14\/6 - 15770\/855\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.969 and 0.5.\nAnswer: -20.4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 42*t**4 + 219*t**3 + 516*t**2 + 528*t + 192 = 0. Calculate t.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716223.\nAnswer: 3, 7, 271, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3004532180 to the nearest one hundred thousand.\nAnswer: -3004500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 1 - 9. Let o(k) = -k**2 - 6*k - 1. Let x be o(-5). Find the second derivative of i*s - 3*s**2 + 3*s**2 - s**x wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 99?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x*x**(-1)\/x))\/x)\/x)\/x)**44\/(x**(-2\/5))**(7\/4)*((x\/(x\/x**0))**(-48))**(19\/5) assuming x is positive.\nAnswer: x**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/144)\/(6\/(-108)*20))\/((-3)\/420)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1908*p + 307. Is o(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 409.0786 - 409. What is the smallest value in -5, 0.1, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*w - 2118, 0 = -3*w + x + 2*x + 1278. Is (-1)\/(-8)*4*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2587 and -0.91681.\nAnswer: 2371.78747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 40 (b) -2\/3 (c) 1552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 2*w**4 - w**4)*(-18 - 144 - 32 + (0 - 2 + 1)*(5 + 0 - 4) - 1 + 2 - 3).\nAnswer: -197*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739*r + 9792 + 21130 + 32371 = -21918 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -2\/9, -3\/7, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3453, 6923, 10395, 13869?\nAnswer: 17345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (172\/(-10))\/((-42)\/105). Suppose -k = -4*q + 33. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -1867310.\nAnswer: 1867306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 35*g**2 - 35*g - 30. Let k be h(-34). What is the third derivative of -159*j + 159*j + 112*j**2 - 264*j**2 - 18*j**4 - 38*j**k wrt j?\nAnswer: -1344*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(275)*-3 + -2 + sqrt(275) + -1 + 5*-4*(sqrt(275) - -4*(sqrt(275) + 1*sqrt(275) + sqrt(275))**2 - sqrt(275)).\nAnswer: -198006 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 420.0156.\nAnswer: 294.01092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -964*a**3 - 7*a**2 - 12*a - 14. Let n be i(-4). Suppose -3*h - 4*u = -36965, 5*h - 5*u + 2*u = n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 429 and -5?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -68.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 1. Let h be u(3). Differentiate -h - 1 + 7 + 4*i**4 with respect to i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (450\/(-1125))\/(6\/10). Sort r, -0.2, 5, 4, 49 in decreasing order.\nAnswer: 49, 5, 4, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 4*u**2 + 6*u - 3. Let y be a(5). Suppose 5*q = -y*c + 80, -4*q + 61 + 3 = -c. What is the units digit of 6*q\/18*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = x + 3, -x - 4*q = 3*x + 12. Let d be -4 + (0 + -1 - x). Which is the second biggest value? (a) d (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229106321?\nAnswer: 2731, 83891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1314 - 1316 + 2626 - 6*x**2)*(0 - 3 + 2) as l*x**2 + r + c*x and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52907737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-2847\nAnswer: -5409.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 136. Put 5, -12, -3, g in descending order.\nAnswer: 5, -3, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186303589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 10 - 42 = 0. Suppose -v + 15 + z = 0. Solve -3*b = 5*d - v, d = -3*d - 2*b + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819028?\nAnswer: 2, 7, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -1\/120*n**6 - 3\/2*n**3 - 1\/8*n**4 + 0*n + 0 + 1\/12*n**5 + 11*n**2. Let u(y) = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/840 and -11\/24528.\nAnswer: 122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49276560 and 600.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -917572 divided by 27\nAnswer: -917572\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/17 - 64*p**3\/17 + 290*p**2\/17 + 64*p\/17 - 288\/17 = 0. Calculate p.\nAnswer: -36, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -203*p**3 - p**2 + 3*p - 91. Find the second derivative of o(h) wrt h.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671411 (base 9) to base 14.\nAnswer: a6352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, 494, -0.5, 0.3, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**2 + a - 4. Let w be c(-2). What is the second derivative of v + w*v**2 + 1 - 43*v**2 - 17 - 3 - 3*v**5 wrt v?\nAnswer: -60*v**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/57))**25 assuming a is positive.\nAnswer: a**(1375\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 3:19 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 24. Solve 14 = 3*z - 5*o, l*o = 4*z - 4 - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 times 5370?\nAnswer: 1143810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y**4 - 53 + 10760*y**2 - 10760*y**2)*(13 - 13 + 5*y).\nAnswer: 5*y**5 + 10*y**2 - 265*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 13*q - 7. List the prime factors of p(-7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4172552 - -2282252. What is x rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138536807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.9. Let x be (-2)\/(-4) + 54\/4. Suppose -n - x - 6 = -4*u, 5*n - 25 = -5*u. Put f, -3, n in decreasing order.\nAnswer: n, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 449, -49, 2\/3, 0.2, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/20 - 5*g**4\/6 + 2*g**3 + 7*g**2 - 26*g. Determine r(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 6. Let d be 1 + 1 + 14\/w. Solve -2*y = y + d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 2 (b) -1.16 (c) -4 (d) 1\/20 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.391 - -0.109. Let b = a + -10.9. What is the closest to 2\/7 in 1, -7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154253*o**4 + 314619*o?\nAnswer: 1851036*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68456.\nAnswer: 2, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413823663?\nAnswer: 3, 11, 659, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1692, -1694, -1698, -1704?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -27904*n + 418533. Determine h(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/6 - 3*f**3\/2 - f**2\/2 - 3*f + 5. Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 4*r - 4. Let i be f(4). Let m be (-4)\/(-16) - 79\/i. Solve -3*w + 2*v = -0*w - 8, -5*v - m = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222560528 and 14.\nAnswer: 1557923696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 2*u**2 + 5*u**4 - 4*u**4 + 2*u**4 + 3*u**3 + 4*u in the form o + m*u**4 + l*u + g*u**3 + s*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 40*q = 36*q + 2, q - 4 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2265 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivbvbvvvvbvvvbvvvb. What is prob of picking 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168967 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 292 = -4*x, 2*p + 2*x = 3*x + 312. What is the smallest common multiple of p and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/7 + 500*s**3\/7 + 30746*s**2\/7 - 9000*s + 4536 = 0. What is s?\nAnswer: -126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -972*z**2 + 122475*z\/2 - 189\/2.\nAnswer: -3*(z - 63)*(648*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3647 - -3.3647. Sort -2, 0.2, 81, i, 9\/10 in ascending order.\nAnswer: -2, i, 0.2, 9\/10, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Suppose 2*a + 17 = -5*p, 3*p = -c*p + 3*a - 6. What is the common denominator of (-3)\/15 + p\/(-4) and -1\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6151435 and 20275?\nAnswer: 30757175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -5 (b) -9 (c) 0 (d) -539\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 128, 253, 378, 503, 628?\n\"Answer: 125*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17230016 - 5?\nAnswer: 17230011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*r**4 - 250*r.\nAnswer: -3372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333350.\nAnswer: 2, 5, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*i**4 + 5*i**2 + 2542*i + 1119231 wrt i.\nAnswer: 124*i**3 + 10*i + 2542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1135 - 1134.7. What is the smallest value in -2\/45, -2, 8\/7, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*a**2 - 2 + 2*a**2 + 1 + 4*a wrt a?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -6, -13, -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g - 14. Let a be i(9). Suppose -4*t - a = 6*m - 7*m, -2*m = -4*t. Let q = 0.1 - 0.12. Put t, 2, q in decreasing order.\nAnswer: 2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose f = 6*h - 3*h - 18. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (-1*sqrt(384) - sqrt(384))*-1 - sqrt(384))*6)\/(-4*(sqrt(12) + sqrt(12)*-2) + -5*sqrt(192)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-4))\/((-5)\/10). Is (161\/2)\/y*-10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19171 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -11 - -12) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 0\/8 - -12. What is the highest common divisor of d and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -297, -201, -103, -3?\n\"Answer: r**2 + 93*r - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50, -1028, -3230, -6562, -11030, -16640, -23398?\n\"Answer: -y**3 - 556*y**2 + 597*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*v = -120, -3*v - 2*v - 5 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 7:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -24, -92, -220, -426, -728, -1144?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 2*m, 5*m - 3 = 4*g - 0. Suppose -46 = -g*j - 13. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 594553605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-108)\/3 - 0) + -3. Let f = 47 + n. What is the remainder when f is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 1856 = 2*f - 1840, -5*f = 2*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12851\/52752 + 88843555273\/1318800. Let v = 67366 - x. Find the common denominator of -11\/60 and v.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5081*o + 56063 = -53124 - 38162 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -116 + (2368 - 2355)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8660, 13111, 17562, 22013, 26464, 30915?\nAnswer: 35366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 77. Find the common denominator of 2 - -1*w\/(-33) and -103\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18589, 37067, 55549, 74035, 92525, 111019?\n\"Answer: 2*p**2 + 18472*p + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.048502 + -0.04829031. What is z rounded to 6 dps?\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 18 + 1 + 68*r**2 - 4*r + 13 wrt r?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5667004*p. Let l(k) = 6*k**2. Give l(q(c)).\nAnswer: 192689606016096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/7 + 21069404*v + 388429811800814 = 0.\nAnswer: -36871457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -19 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 1776*z**2 - 21940*z + 23712.\nAnswer: 4*(z - 456)*(z - 1)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {k: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -65 + -57 + 1 + 64?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a832c (base 14) to base 6.\nAnswer: -51434524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r + 10*r - 7*r**2)*(r + 0*r + 2*r + (-5 + 3 + 3)*(r + 0*r + 0*r) + 3*r - r + r) - 2*r**3 + 0*r**3 + r**3.\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 1 - (2 - 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166617636 + -166619351.01031. Let n = u + 1715. Round n to four dps.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1294.59 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46\/19 + 398\/133. Which is the nearest to q? (a) -2 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:27 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -17. Let x be (-80)\/12*(-36)\/r. What are the prime factors of (x\/4 + -7)\/(1\/(-37))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20513547 and 14049.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + t. Let c(b) = -2*b**3 - 12*b**2 + 3*b. What is -c(d) + 3*l(d)?\nAnswer: -d**3 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + -10)*1\/(-2). Let b(p) = -2 + s - 7 + p**2 + p + 2. List the prime factors of b(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*y**2 - 398*y**2 + 200*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y + 2. Let m be l(-2). Let r be (m\/2)\/((-4)\/8). Suppose 216 + 394 = 5*o - 5*v, 523 = r*o + 3*v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*36\/(-16)*10\/60?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 5*x**2 + 3. Let f be b(-5). Suppose -1231988 = 3*w + w - f*i, 3*w = i - 923996. Round w to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3 - 317342*p**2 - 17*p - 139979 wrt p.\nAnswer: -24*p - 634684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703493?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1938.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 697, 1708, 3163, 5062, 7405, 10192?\nAnswer: 13423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-15)\/(-270)*-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 783 - 1026. Let q = w + 242. Which is the second biggest value? (a) -2 (b) 9.7 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18467 + -85374114?\nAnswer: -85374113.81533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103140170 divided by -20628034\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061541 + -5.\nAnswer: -5.061541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12830, -25378, -37926?\nAnswer: -50474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, p: 2, f: 2, h: 11, c: 1}. Give prob of sequence phc.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 6.9. Let h = r + -0.2. Put h, -0.1, 5 in ascending order.\nAnswer: h, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 8*t**3 - 5*t**3 + 2*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 - -9.4. Which is the smallest value? (a) 1.5 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 46*t - 5905. Calculate f(-57).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 183, 385, 597, 819, 1051?\n\"Answer: 5*q**2 + 187*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 1 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.1 (c) -12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*z + 72. Suppose z - 83 = -3*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2287.1 - -31.6. Let l = m - 2187.274. Let z = l + -131. Round z to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let d(n) = 15*n. Let h(r) = 7*r. Let b(y) = 6*d(y) - 13*h(y). Let q be (-3)\/(1*(-3 + 2)). Let f = q - -1. What is f*k(c) + 3*b(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-40))\/(23\/(-46)). Which is the third smallest value? (a) 5 (b) w (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-15 + 29 - 26) + 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 32*t - 15*t - 11*t - 1. Suppose 3 = 3*v - 6*v. Give h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 257326209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 34398 = 16*s. Calculate the greatest common factor of 196 and s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (82253 - 18)*(-2)\/(-178). Let j = 924 - n. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 225\/54)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = -k - 420. Let t be (k\/(-8) + 3)*16\/8. Solve -2*z - 3 = -t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Suppose -z + t = -7. Let q be (-1)\/(z\/10) + 2. Are q and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1 + 2. Find the second derivative of 2*a**b + 6*a - 3*a - a**3 - 3*a**3 wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11196 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518939 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 717310468 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*x = 1031, 4*s + 123*x - 125*x - 1404 = 0. Calculate the remainder when s is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12256, -12338, -12468, -12640, -12848, -13086, -13348, -13628?\n\"Answer: g**3 - 30*g**2 + g - 12228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3*v + 1783*o**3 + 492*o**2*v - 3*o**2 - 4*v wrt v.\nAnswer: 3*o**3 + 492*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 13*j - 4. Let n be k(11). Suppose 0 = 3*p + 3*c + n - 534, -359 = -2*p - 5*c. What is the remainder when (-6)\/(-10) - p\/(-5) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1770*z**3 - 7*z**2 - 4*z - 1. Let v be g(-5). Let r be v\/(-33) + 4\/(-22). Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38110938*f**2 - 72076775*f**2 - 96528625*f**2.\nAnswer: -130494462*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1136 = 4*c - 1152, 25 = 5*c + 5*w. Sort 90, -2, c, 0, -4 in ascending order.\nAnswer: -4, -2, 0, c, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*f**5 - 2\/13*f**4 - 56\/13*f**3 + 192\/13*f - 64\/13*f**2 + 288\/13 = 0 for f.\nAnswer: -3, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22 and -11\/56778?\nAnswer: 624558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100 and 4100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 86\/977?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522.619747 rounded to the nearest ten?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 9. Let t(z) = 2 - 12*z**3 + 25*z**3 + z**2 - 10*z**3 - 4*z - 8*z**3. Let p be t(1). Calculate q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4005 = s, 0 = 4*s + 1 - 5. List the prime factors of q.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 2 (c) 96 (d) 6735 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10204522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12628.\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -229882 (base 14) to base 13.\nAnswer: -323765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188426 (base 11) to base 15.\nAnswer: 5aae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) 2\/17301 (c) -0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p - 277. What is i(10)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1019\/54 - 433\/27. Factor -f*b - 2 - 1\/6*b**4 + 1\/6*b**2 + 5\/6*b**3.\nAnswer: -(b - 4)*(b - 3)*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*s**3 - 4 - 9*s**3 + 1.\nAnswer: 82*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1228889 - -b?\nAnswer: 1228898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 18 = -12. Suppose 0 = 2*v - 2*d, -v = -l*v - 5*d - 45. Suppose -55*b + 152 = -68. Sort b, 3, 5, v in decreasing order.\nAnswer: 5, b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1762771, 3525548, 5288325, 7051102?\n\"Answer: 1762777*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1413757*y**2 + 706824*y**2 + 706898*y**2.\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1003 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4718269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10335 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/(3\/9). Suppose -k + 2*x = x - 47, 0 = -3*k - q*x + 169. What is the remainder when k is divided by 0 + 1 + 48\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 425*s - 76 + 4 - 850*s + 10 + 511*s to z + o*s and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/9 - 1)\/(-2 + -24). Let a = 20\/39 - v. Is -56 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 210*v = 211*v - 22, 0 = a - 4*v + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 770138670?\nAnswer: 770138670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 495256.\nAnswer: 6438328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 92. Let z be (-10)\/q - 766\/(-10). Suppose 5*f + 4*r - 23 = 0, 0*f = 4*f + r - 25. What is the greatest common divisor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 186911 and -0.578.\nAnswer: 186910.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*b + 540 = -8*b, -4*f + 2*b = -2110. Suppose -z + 433 = -f. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/50)\/(3\/30*4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f\/f**(1\/6)))\/((f*f**(3\/5))\/f)*f\/f**(2\/5)*f\/(((f*f*f**0)\/f*f)\/f))\/((f*f\/(f**(1\/3)*f)*f)**35*(f**(-2\/5))**(-4\/19)) assuming f is positive.\nAnswer: f**(-34343\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**3 + 4*f**2 - f - 4. Let y be c(2). Calculate the highest common divisor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3100 + 2214?\nAnswer: -aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 57, 85?\n\"Answer: 28*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.064 (b) 10 (c) -66.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209 + -173. What is the remainder when n is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 0.2 (c) 1.39 (d) 3.4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 - 78*l**2 + 5*l**3 + 78*l**2 + 116 + 111.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 - -197. Which is the nearest to -2? (a) k (b) 0.5 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from lwyyxfa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285*b**4*h**3 - 3*b**2*h**3 + 2*b**2*h**2 + 3*b**2*h wrt b.\nAnswer: -6840*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -988, -1476, -1946, -2392?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1820 - -1789. What is the third biggest value in 2\/5, 0.28, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4213*q**2*s**2 - 761*q**2*s - 7880*q*s**2 - 36*q + 14*s wrt s?\nAnswer: -8426*q**2 - 15760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g + g**2 + 3 + 52*g - 75*g. What is r(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.409 - 0.45. Let n = j + 0.041. Let t = 1 + -1.4. What is the closest to n in t, -3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26722 is divided by 12580?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {e: 5, c: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(9\/9*(-2)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(27)\/sqrt(3))*6)\/(sqrt(75) + -1*sqrt(75) + sqrt(75) + sqrt(75)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2978255mm in micrometers?\nAnswer: 297.8255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 15 = -15*c - 3*l, 2*c + l - 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 61.3241.\nAnswer: 18.39723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -9.75.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 40, 62, 88, 118, 152?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8\/5)*z*((((z*z\/(z*z*z**(1\/55)))\/z)\/z)\/z)\/z)\/(z\/(z\/(z*(((z*z*z**48)\/z*z)\/z)\/z*z)*z))**(-6\/35) assuming z is positive.\nAnswer: z**(208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/11*h**2 + 2\/11*h**4 + 8\/11 + 24\/11*h + 12\/11*h**3.\nAnswer: 2*(h + 1)**2*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1456 and 67\/1092.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1333527 and -58\/6045.\nAnswer: 6667635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -22*j - 61 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -172*s**3 + 1351. Let r(a) = 2*a**2. What is b(r(v))?\nAnswer: -2064*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 780, 1576, 2644, 3984, 5596?\nAnswer: 7480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -269, 0.5, 49.3, -3?\nAnswer: 49.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675889?\nAnswer: 675889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 7*q + 0*q + 1.\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnnp when four letters picked without replacement from cpnnp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q - 10*q + 8*q + 5*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - s - 1782 = 0, 0 = 2*r - 0*r - 2*s - 708. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/3 - 22*u**3\/3 - u**2\/2 - 14. What is the third derivative of w(s) wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 1894*n**3 + 271392*n**2 = 0 for n.\nAnswer: 0, 176, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3089ba (base 16) to base 11.\nAnswer: 1882a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4188000 divided by -1000?\nAnswer: 4188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/50 and 79\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.035 (b) 1\/10 (c) 0.07 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 0 (c) -5.3 (d) 0.067 (e) 506\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4802*v**3\/3 + 39075344*v**2 - 3189832*v + 195296\/3.\nAnswer: 2*(v + 24412)*(49*v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 409930638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 4*z**2 - 3*z - 2. Let m = 0 - -3. Let x(w) = 2*w**2 - 6*w**2 + 2*w + 1 - 4*w**m + w**2. What is -3*p(j) - 4*x(j)?\nAnswer: j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 + 2*q**3 + 995533*q**2 + 35530*q - 190?\nAnswer: 36*q**2 + 12*q + 1991066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, -5, -2, -3, -428\/9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19026696.91660447 - -19026697. Let l = -0.076396 + c. Let a = -0.007 + l. What is a rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -57, -136, -247, -390, -565?\n\"Answer: -16*f**2 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/6 + 28145*x\/3 - 792141025\/6 = 0. Calculate x.\nAnswer: 28145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 5. Let i be f(-4). Let h be (-10)\/(-35) + 250\/i. Suppose -5*c - 46 = -5*k + 179, h = k - 4*c. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129954018 by 1086.\nAnswer: 119663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 39 = -a. What is the hundreds digit of 25039\/28 - a\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v + 9. Let d be w(7). Let b(j) = -j + j - j**d. Let k(r) = -2 - 10*r + 0*r + 2 + 6*r. Give k(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (637\/(-1197))\/1 - (-1096)\/9864\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 + 20*y + 3. Suppose i = -3*t - 16, -8 = -i + 13*t - 10*t. Let s(j) = -5*j**2 + 18*j + 2. Let h(u) = i*b(u) + 5*s(u). Give h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/5 and 18208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4354, 1\/5, 4.38 in decreasing order.\nAnswer: 4354, 4.38, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42\/1919593 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -20\/51, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/405? (a) 0.03 (b) -2 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 2, c: 5, r: 1, m: 4}. What is prob of sequence mmc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/8 - 10\/(-40). Suppose -h*n + 2*x = -6, 3*n - 1 = x + 3. Solve o = 2*b - 1, -4*b + 3*o - 7 = -n*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555787.\nAnswer: 83, 131, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1696112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -230, -417, -680?\n\"Answer: -38*x**2 + 3*x - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-12))\/((-930)\/62*(-1)\/(-2))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5056)\/16432)\/(((-50)\/13)\/2)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 79230.\nAnswer: 713070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k - 1269 = -1066 - 6671 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313358303?\nAnswer: 397, 5827099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:22 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -53. Suppose 5*v + p*d - 52 = 3*v, v - 26 = 5*d. What is the least common multiple of 11 and v?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -634226310 + 2?\nAnswer: -634226305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8 = 0, 13*h = 2*u + 13 + 11 + 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 61. Suppose 4*c - g = 93, -g = 4*c - b - 44. Solve 4*i - 3*n = c, 3*i - 6*n = -2*n + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(0*k**2 - k**2 + 2*k**2)*(-23*k**3 - 33*k**3 + 15*k**3).\nAnswer: 41*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3596 - a4a?\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010001 (base 2) to base 6.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750625 and 5000?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 + 6*h + 10*h**3 + 4*h**3 - 14*h**3 + 4*h. Suppose 6*i + 27 = -15. Let s(b) = -4*b**3 - 7*b. Give i*s(c) - 5*r(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 + f + 1. Let x be d(5). Let l be 3*(38\/3)\/(-2). Let z = x + l. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 4*p + (2*p + 2 - 2)*(-247 + 1309 - 268 - 3 - 1 + 2 + (4 - 2 - 1)*(-1 + 1 - 1) + 3 + 1 - 2)*(0 + 4 - 1) to the form l*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79b - 0?\nAnswer: -79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 5*j + 4. Let u(p) = p**2 - 2*p + 3. Let w be u(2). Calculate the remainder when c(w) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55668*o - 55682*o - 14*o**3 - 74*o**3)*(0 + 1 - 3) in the form t + u*o**3 + n*o**2 + r*o and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4515 and 3157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:04 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtkkxhtw. What is prob of picking 1 w, 1 x, and 2 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 11. Let l be s(0). Suppose -14 = -v - l. Solve 2*j + v*j = -25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 9*i = 0, 0 = 4*v - 5*i - 12008. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -92.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(8)*5))\/(2*(sqrt(1100) + 2*sqrt(1100)))*-3 + 0.\nAnswer: -sqrt(2)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655819 + 169841 = 121*c + 99*c. Which is greater: 3755 or c?\nAnswer: 3755","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from {a: 1, y: 8, t: 1, e: 8}?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21212 is divided by 1781?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 63 - (10 - 6 - -38)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 - 25 = -40. Solve 63 - 3 = u*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5767489*16\nAnswer: -92279824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 + 6\/2. Suppose -6*p + p = 3*v + 29, 3*v = -n*p - 25. Is 1 - -1 - 3\/v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k - 4 = 0. Put 3, k, -1\/2 in decreasing order.\nAnswer: 3, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z = 77*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ivpi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 9*d**3 - 29*d**2\/2 + 3*d. Let a(p) = 2*p**3 + 7*p**2 + 7*p + 7. Let s be a(-2). What is the hundreds digit of r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, 4\/3, 0.3, 115, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-535)\/(-1926))\/(15\/48)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73518747.\nAnswer: 3, 24506249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -38\/5, -0.6 in increasing order.\nAnswer: -38\/5, -0.6, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 15) to base 13\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14838 is divided by 185?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-2))\/(-1 + 445\/446) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0. Let g = -5.442 - 2.5246. Let x = g - 0.0334. What is the smallest value in 4, k, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 21, -20, -9.\nAnswer: -20, -9, 21, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/5 + -1 + 1316\/140. What is the greatest common factor of z and 162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12635 by 5.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - p. Let s be f(-1). Suppose 5 = s*l - 9. Factor -37*c**4 + 7*c**3 + 32*c**5 - 11*c**4 - l*c**2 + 11*c**3.\nAnswer: 2*c**2*(c - 1)*(4*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 (base 15) in base 11?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - -222?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -560 + 559.95. Let i = -4 + 4.03. Let g = 1.09 - 0.09. Put u, i, g in ascending order.\nAnswer: u, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 1133443826414.\nAnswer: -1133443826360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 22*m + 2. Let s(p) = -p**3 + 18*p**2 + 38*p + 38. Let u be s(20). Calculate i(u).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289832 = 10*g + 7*g + 93*g - 291262 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 644*s**2 - 5444*s + 6084 = 0 for s.\nAnswer: -9, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/3 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 198 = 10*m. Let z be (-390)\/(-4)*(-12)\/m. Let x = -34 - z. Calculate the remainder when 60 is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -30. Let c(y) = 11*y**2 - 12*y. Let t(v) = 33*v**2 - 35*v. Let p(x) = a*t(x) - 11*c(x). Find the second derivative of p(q) wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 - 3 = -2*j, 5*j - 4*v + 85 = 0. Let r = j + 16. Let i(o) = -4*o - 3. Let d be i(-2). Solve d*s - 3*k = -26, -5*s - 10 = r*k + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -2 + sqrt(405) + 3.\nAnswer: 1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1452*c - 204. Give d(4).\nAnswer: 5604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 41*i**2 - 339*i - 62. Determine u(13).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 6*b - 6. Let y(t) = -t + 1. Let a(q) = 2*q**3 + 21*q**2 + 11*q + 12. Let l be a(-10). Let v(c) = c - 8. Let i be v(l). What is i*y(x) - s(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = -4. Suppose -2 + 0 = -2*o. Let z be -2 + (-25)\/(-6) + -2. Which is the nearest to z? (a) 0.1 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**4 + 142079*q**2 + 44200*q + 2 wrt q.\nAnswer: -48*q**2 + 284158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {w: 2, u: 2, k: 1, v: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001939 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iudd when four letters picked without replacement from {u: 2, d: 6, k: 1, i: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o**3*r**2 + o**3*r - o**2 - 11326*o*r**4 + 12305*o*r + 3*r**3 - 16*r - 2 wrt r.\nAnswer: 20*o**3 - 135912*o*r**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7744 and 3968558?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2) + (-2)\/((-18)\/9639) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450268065 plus -0.08?\nAnswer: -2450268065.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 20\/3*m**4 - 2404*m**2 + 524*m**3 + 7612\/3*m - 664 = 0?\nAnswer: -83, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.024 - 9.424. Let n = 20.1 + t. Let i = 10.7000161 - n. Round i to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 107677.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 18*i**2 + 10*i - 7. Let r(n) = -24*n**2 - 11*n + 9. Let g(v) = -9*a(v) - 7*r(v). Let q(w) = -17*w**2 + 39*w. Calculate 11*g(x) + 4*q(x).\nAnswer: -2*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adrd. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11049 = -186*j + 994*j + 12226 - 5499 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -11 - 125 - -35.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 7*f**2 + 9*f + 10. Let k be m(-8). Let r(a) = -k + 2 - 3*a. Let p(y) be the third derivative of -y**5\/60 + 2*y**2. Give p(r(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at most as big as 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 451252, 902500, 1353748, 1804996, 2256244, 2707492?\n\"Answer: 451248*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 21. Let q(w) = w**3 + 11*w**2 - 3*w - 23. Let a be q(-11). Let b be (12\/a)\/((-20)\/(-100)). Let f be c(b). Is 7\/2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzgzzzzzzzz. What is prob of picking 3 z and 1 g?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 14) to base 9.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/5 - 1000*q**2 - 270592*q\/5 - 3744384\/5 = 0. What is q?\nAnswer: -1194, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -20400\/491, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82, 127, 180, 247, 334, 447, 592, 775?\n\"Answer: i**3 - 2*i**2 + 44*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 8*d + 20*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 6, -5*r - 4*v + v = 19. Let m(b) = -2*b - 2. Let f(x) = -1. What is r*f(h) + m(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -8*v + 52. Suppose -4*a = -0*z - 3*z - 62, -v = -2*a - z. Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8077618.7 rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*y**3 - 17*y + 17*y.\nAnswer: 971*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4082 - -18.6218. Let p = 0.03 - o. Let v = p - -18.99999. Round v to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 320*y + 232. Let l(p) = -107*p - 76. Suppose w + 2 = -2*t, 5*w = t + 4*t + 50. Let a(q) = w*s(q) + 17*l(q). Find the first derivative of a(i) wrt i.\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1376 - -1400. What is the lowest common multiple of 12 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25080 divided by 12540\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7265473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1780 + 1797. Let s(f) = -f**3 + 17*f**2 - 14. Determine s(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 950845770.28945 and -0.08.\nAnswer: 950845770.20945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -127\/368 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 18. Give o(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let f(l) = 3*l + 5. Let d(z) = -f(z) + 6*y(z). Let t be d(4). Suppose 3*i - 22 = -t. Solve -11 = -2*b + 4*j - 7*j, 0 = 5*b - i*j + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821934*m - 1643869*m + 821937*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - a = -3*p - 9840, -4*a = -2*p - 4920. Let z be 2\/3 + p\/(-9). Suppose -3*q - 110 + 385 = 4*j, -4*j + z = 2*q. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1873126*m**3 - 2256574 wrt m.\nAnswer: 5619378*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 31*i. Let t(c) = c**2 + 106*c - 64. What is t(l(d))?\nAnswer: 961*d**2 + 3286*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**3 - 301*m**3 + 0*m + 0*m.\nAnswer: -337*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -s - 0*r + 3*r, -4*s = 4*r + 104. Let f be -4 - (s\/3 - -1). Solve 0 = n - 5*n + f*z, -3*z = 4*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9373 is divided by 2777?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -0.4, -4.35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728663668.\nAnswer: 2, 3, 75796213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 37. Let m = 85 - k. Suppose m = p - 71. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279432871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 5\/(5\/7). Solve -y = -5*y - h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Let y = 1 - r. Let w = 4 + y. Are w and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**2*r + 1155*j**2 + 61272*j*r - 258*j + r wrt r?\nAnswer: -5*j**2 + 61272*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13a - b?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*l = -1076, 5*v - 4*l = -l + 1345. Does 42 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6793137 is divided by 1698282.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((162\/20)\/((-582)\/(-970))).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haahaaaaahaaha. What is prob of picking 2 a and 2 h?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*w + 2*w**4 + 88*w + 9*w**4 + (w + 0*w - 2*w)*(0*w**3 - 8*w**3 + 3*w**3) in the form k*w**4 + q + n*w**3 + z*w**2 + c*w and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 107 = 7*u. Solve 4 + 11 = -u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 21*x**2 - 6*x to the form l*x + j + t*x**2 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = i - l + 2*l, -2*i = -16*l - 112 - 176 + 30 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j)*(0 - 2 + 0)*(16 + 4*j**2 - 16).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times -51.9?\nAnswer: -212.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*g + 504 = -575*g. Solve 2*i + g = 57 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354235 (base 6) to base 8\nAnswer: -74057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:01 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4023 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 13, 20, 43, 88?\n\"Answer: b**3 - b**2 - 7*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.67 + 41.67. Let h = k - 41.015. Let o = 2.215 + h. What is o rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -0*a - 2*a, -3*n + a + 5 = 0. Suppose n*w - 8 = -2*v, 25 - 7 = 5*w + v. Suppose z + 21 = w*z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 398 = -1469. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*l + 14*l + 12*l + (l + 0*l + l)*(-2 - 2 + 3))*(1 - 3 + 1)*(0 - 2 + 1) to y*l + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 - 2. Suppose 2*r - 12 = -2*x, -14 = -r - 2*x - 6. Let k be n(r). List the prime factors of (-152)\/(-5) - (-20)\/k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 277461849 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 819 or -427?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79528.14 years?\nAnswer: 7952.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 1 + 46 - 20 - 5565*l as t + s*l and give s.\nAnswer: -5565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-759) + (-42)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38863*g*n**3 + g*n**2 + 9*g + 1762*n**2 - 17434434*n wrt n.\nAnswer: -233178*g*n + 2*g + 3524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {c: 1, g: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/21 and -11\/12051620.\nAnswer: 36154860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxjqjjxjxjqxjx. What is prob of sequence xj?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 57*j**2 + 237*j - 19. Determine c(-6).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 10*z - 21*z + 41*z + 54.\nAnswer: -3*z + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 + k**2 + 11*k + 1. Let b(o) = o**3 + o**2 + o. Let n(c) = -a(c) + 6*b(c). What is n(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263596.6 take away 0.123?\nAnswer: -263596.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Let i be (-6)\/(-2) + w*6. Solve 5*y - 13 = -i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23088.8, -3 in decreasing order.\nAnswer: 5, -3, -23088.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1410 = 8*n - 5846. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1775*u - 1732*u - 78303 = 0. What is the least common multiple of u and 33?\nAnswer: 20031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80419642 and 10376728?\nAnswer: 321678568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 24*m - 11*m + 188 = 0. Solve m*x = 5*r - 10*r + 4, 16 = x + 5*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 7*g**2 + 69. Determine z(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14797\/18 - -823. What is the common denominator of -59\/10 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, d: 7, q: 1, y: 5}. What is prob of picking 1 c and 1 q?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*u**4 + 61016*b**2*u**2 + 3669140*b**2 wrt u.\nAnswer: 8*b**2*u**3 + 122032*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 10*b + 6295 = 0. Suppose 4*l = -l + b. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*r + 134*r = 735. Calculate the remainder when 87 is divided by r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 51, 0.2, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 27 = -4*g, -5*p = -p - 4*g - 168. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 1 + 3*y + y. Let j be k(0). Is 15*j - (-1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13*z + 2. Suppose 5*c = 53 - 8. Let p(j) = -j**2 + 8*j - 4. Let g be p(c). What are the prime factors of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1897327400 by -2.\nAnswer: 948663700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**2. Let a(n) = 15*n + 195. Let b(q) = q + 12. Let m(j) = -4*a(j) + 65*b(j). Give t(m(i)).\nAnswer: 225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 39\/301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 735*v**2\/4 - 9477*v\/2 - 8740.\nAnswer: (v - 760)*(v + 2)*(v + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 1. Let g(a) = a**2 - 6*a - 5. Let j(v) = -g(v) + 2*p(v). What is j(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*b, -1 = v - 2*b. Suppose -h - 1 = -v. Suppose h*c + 91 = 5*c - j, c + 3*j - 75 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 582*d - 581*d - 5 + 15 to i*d + r and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w - 8160 + 5576 = 0 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/901 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -48, 0.1 in descending order.\nAnswer: 0.1, -2\/15, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1\/1)*(-21 - -10)\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**3 + 45*d**3 + 121 + 6.\nAnswer: -2*d**3 + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 41. Determine g(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -79*u - 39. What is the units digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151\/10 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0749 + -2.0749. Let f = 15 - 10. What is the nearest to q in f, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*(x**(2\/3)*x)\/x)*x*x*x)\/x**(-1\/3)*x**(-3\/4)\/x**(-7))**32 assuming x is positive.\nAnswer: x**(1048\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -189 + 187 - s**2 - 2*s**2 - 3*s - s**3. Suppose 0*z - 4 = 2*z. Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 207, 570, 1077, 1728, 2523?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 7*d - 9. Let i be q(-8). Let a = i - -1. Suppose -2*m + 3*z = -21, 18 = m - a*m - 3*z. Solve -m*v = 5*n + 17, -3 = v - 5*n - 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 210 + 1321 - 17*h + 30*h + 73.\nAnswer: 2*h + 1604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/130 and -113\/8177676?\nAnswer: 40888380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*v**3 + 43*v**2 - 43*v**2)*(-3 + 1 + 1).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 855424 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007392715734 rounded to six dps?\nAnswer: 0.007393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -2*sqrt(2)) + 1 - (sqrt(162) - (0 + sqrt(162))).\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 16\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 2. Let z be s(3). Suppose g = -3*i + 327 - 12, -3*g + 113 = i. Calculate the highest common divisor of i and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcrrrrrcrrrcrrrrcr. What is prob of sequence rr?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.235551 rounded to two dps?\nAnswer: -18.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -84*v. Let o(k) = -k. Let z(f) = n(f) - 72*o(f). Let t(x) be the second derivative of 2 + 0*x**2 + 38*x + 5\/12*x**4 + 0*x**3. Determine z(t(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 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: What is the next term in -393, -397, -411, -441, -493, -573?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3429902*s**4 - 276715.\nAnswer: -13719608*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455252149.\nAnswer: 109, 5237, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-567 + 563)*(-7)\/(7\/(-6))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c - 6. Let g be l(-2). Suppose 4*s = z - 24603, 2*s - 4*z + 12294 = -g*z. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8086, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 13*l**4 - 1 - 4*l + 15*l**4 + 2*l - 2*l**3 to the form q*l + m*l**3 + c*l**2 + r*l**4 + g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2586*x**2 + 49*x - 395. Let h be s(-39). Round h to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*y = 5, 18*j + 4*y = 17*j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86621 = -2*x - 32277. List the prime factors of x.\nAnswer: 2, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (79\/(-1) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 59 - 8*q - 98 - q + 8*q.\nAnswer: -q - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - p + 3*p + (-1 + 4 - 1)*(9*p - 12 + 21 - 7) + (0*p - 2*p - 2*p)*(-10 + 3 + 6) as i*p + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/255, 1\/5, 3\/7, 2\/3?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.88 - -5.88. Sort 0.2, -2\/3, -2\/15, r.\nAnswer: r, -2\/3, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.187889 - -0.1873. What is m rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7723395153 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1077\/8 - 135. Suppose 567 = -3*y + 12*y. Let r be (2\/(-3))\/(294\/y). Put r, -1\/5, z in decreasing order.\nAnswer: r, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(6782 + 6577 + 10896 + 34359 - 9742).\nAnswer: 48872*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -5. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - d - 42, -2*d = -4*q + 30. Let z = 140 + -74. Let i = -40 + z. Calculate the remainder when i is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t - 103. Let b = -393 + 385. Calculate the remainder when m(b) is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let x = 134 - 109. Let p(l) = x*l - 480 + 480. Give p(k(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/7, -1.48, 148\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8854 divided by -61973.\nAnswer: -8854\/61973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 223*f**2 - 5*f - 7. Let n(s) = 3*s**2 - 1. Let q(l) = 2*n(l) - z(l). Find the second derivative of q(v) wrt v.\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 + 5*s - 3*s + 24*s**4 + 2*s**3 - 18*s**4 - 4*s**3 in the form u*s**2 + a*s**4 + j*s**3 + d*s + l and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92180704 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**9\/60480 + b**7\/3360 - b**6\/1440 - 7*b**4\/4 - 21*b. Let y(z) be the third derivative of a(z). Factor y(h).\nAnswer: -h*(h - 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 583*t**2 - 346*t - 232.\nAnswer: -(t - 116)*(t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/7 at most as big as -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - 15*k + 6. Let m be c(-6). List the prime factors of 116\/(m\/378*-7).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317770?\nAnswer: 2, 5, 431777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:07 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -3, -5, -1, -4, -168, 4 in decreasing order.\nAnswer: 90, 4, -1, -3, -4, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -112. Let t be 6\/8 - 175050925\/s. Let n = t + 12851818. What is n rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 - (9 + -3 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -57. Let g(m) = 32*m - 90*m + x*m + 32*m. Let k(r) = 30*r - 25. Let d(t) = -t + 1. Let f(h) = -25*d(h) - k(h). Determine g(f(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**6\/r)\/(((r**(-2\/7)\/r)\/r)\/r))**(-3\/7))**(-43) assuming r is positive.\nAnswer: r**(7482\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399 - 387. What are the prime factors of 46 - (s + -7 + -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 12. Let c be 96\/24 - (-9 + 1). Let i be s(c). Suppose -6*b + 438 = -i*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) + sqrt(147))**2*-5.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 - 2. Let v = -13 - -16. Let o be 4 + -1 + v\/3. Suppose 28 - 8 = o*f. Give h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11330 + -10395.7. Round q to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/486 and -47\/144.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -559 (base 13) to base 3.\nAnswer: -1021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 31486040628?\nAnswer: 31486040628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-36680)*131)\/(6\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 - 1. Let z be -2*(-3)\/(9\/12). Let v(a) = 0 - a**3 - 6 - a**4 + z*a**4 + a - a**2. Let g(b) = -6*k(b) + v(b). Factor g(u).\nAnswer: u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 + 663. Let s be 2 + 0 + (5 - 2). Suppose 0 = 3*y + 2*n - 236, -3*n - u = -s*y + n. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2. Let q be j(-1). Suppose -5*u - 35 = q. Let i = -6 - u. Solve -o - 3*c = -1, 0 = 4*c - 2*c + i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let q(c) = 6*c + 2. Let o(x) = 5*l(x) + q(x). Let w be o(-5). Is w less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 85 = 5*j. Let s(o) = -o + 4. List the prime factors of s(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + 309\/1050. Let m = -2\/25 + p. Let f be 29 - (-24 - (-785)\/15). Which is the nearest to 0.1? (a) -0.4 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose 0*t + 2*t - 45999998 = z. Suppose -2*h = c - t, -2*h - 3*h + c + 57500001 = 0. What is h rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 29 = -6*g. Suppose 0 = -22*i + g*i. Let w(f) = f**2 + f - 6. Give w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/574 and 34*7\/(-28) - 4\/(-14).\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -107*v**2 - 47*v - 23. Let f(q) = -36*q**2 - 16*q - 8. Let m(s) = 17*f(s) - 6*r(s). Find the second derivative of m(y) wrt y.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djmmjf. Give prob of sequence dm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -264 - 5*r**2 + 25 - r + 67 + 63 + 12*r**2 in the form i*r**2 + c*r + q and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 75*o + 75*o - 7*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*v**2 + 85*v + 12262.\nAnswer: -36*v + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 154*t + 377. What is j(-3)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 1892842\nAnswer: 60\/946421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1110, -614 in descending order.\nAnswer: 1110, 1, 0, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 325 - 250 = 0. Let k = 197 - m. Suppose -14 + k = 4*p. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -201716, -201740, -201764, -201788, -201812, -201836?\n\"Answer: -24*g - 201692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 divided by -276?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.9. Let b = 0.127 + -0.187. What is the closest to 0.1 in -2\/11, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 2*y**4 + 70*y + 15 + 0*y**4 + 18 + 285*y to o*y**2 + a*y**3 + k*y + z*y**4 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/130 and 77\/72205480.\nAnswer: 938671240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*p**5 + 513036*p**3 - 69894961*p**2 wrt p?\nAnswer: -1560*p**2 + 3078216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.845 + -1.145. Let k = -7 - -5. What is the second biggest value in -2\/5, k, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -105. Let v = b + -16. Let h = 0.5 + -0.4. Sort v, 3\/2, h.\nAnswer: v, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((sqrt(50)*-1)\/sqrt(5)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12284998.\nAnswer: 2, 11, 337, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/47 and -144\/83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times -72?\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -4207*f**6\/40 - 13*f**5\/20 + 11*f**4\/8 - f**3\/6 - 61*f**2 - 20. Find the third derivative of j(z) wrt z.\nAnswer: -75726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-8)\/3 + (-3)\/(-1)). Sort -4, q, 5, -5 in descending order.\nAnswer: 5, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - -7. Let r be 6\/l + (-57)\/(-15). Solve r*g - 6*g = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilometer in meters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z - 12. Let y be 2\/6 + (-28)\/12. Sort y, z, 4.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 2. Let k be q(5). Suppose -5*w = -4*i + 10, 2*i + k*w + w + 8 = 0. Suppose i = 5*o - 6*o - 4*d + 347, 4*o = -2*d + 1332. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m**2 + 11*m**2 - 8*m**2. Let s(g) be the second derivative of g**3 + 48*g. Calculate b(s(z)).\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) - (sqrt(19) - (sqrt(19) + 2 + -3))))**2*-2 + -2 + ((-2 + sqrt(304))**2 - (0 + sqrt(19) + -4)) + -2.\nAnswer: -sqrt(19) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41844 and 852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1. Let b(t) = t**2 - 4*t - 3. Let h(x) = -5*a(x) - b(x). Let p = 19 + -14. Determine h(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4184 = 5*w - 1066. What is w rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 33 = -39. Let b(k) = -61*k**3 + 4*k**2 - 2*k. Let m be b(2). Let r be m\/y - 2\/9. Solve 0 = -f + 3*z - r, -f + 0*f + z = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 - 3 - (-7 + 0) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115989874*n + 150193598 wrt n.\nAnswer: -115989874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 - 5*o**2 + o - 3. Let j = 3 + -8. Let t(f) = -184*f - 14*f**3 + 185*f + 6*f**3 - 6*f**2 - 4. Calculate j*t(g) + 6*m(g).\nAnswer: -2*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 282, 280, 278?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -26. Let w be 6\/4*(-16)\/p. Suppose -5*b - w*c = -41, -3*c + 38 = 4*b - 4*c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111011 (base 2) to base 13\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 g when three letters picked without replacement from {w: 1, h: 2, g: 1, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 - 6 = 5*m, 0 = -5*g + 5*m - 15. Let z be g\/(-18) + (2 - (-37)\/(-6)). What is the tens digit of 3 + 1\/(1236\/308 + z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 0*y**2 - 2*y + 4*y**2 - 2*y**2.\nAnswer: 4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(3\/12). Let n be j\/(3*2\/(-3)). Let y(f) = -7*f**3 + 12*f**2 - 6*f + 5. Let a(m) = 2*m**2 - m + 1. Let p(v) = 5*a(v) - y(v). Determine p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32944 is divided by 10978.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7953?\nAnswer: 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/66 and (-45)\/90*(174\/64 + 0).\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.3 (b) 190 (c) 0.21 (d) -6 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*o**4 - 1096070*o**3 + 13650680*o**2?\nAnswer: -3360*o - 6576420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 26*s - 62 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 31838?\nAnswer: -3183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3090 and 61900940?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10*(-5)\/(-20))\/((-3)\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/9)\/2 - -1. Let p = -22 + 21.8. What is the nearest to p in a, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*j - 93384 = -189*j. List the prime factors of j.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-15)\/((-120)\/(-352))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407798 divided by -2.\nAnswer: -203899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -446 + 449. Let x(o) = o**2 - 9*o + 4. Let z be x(9). Solve t*s = -z + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17481182 or 17481181?\nAnswer: 17481182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:15 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -957 - -990. What is the remainder when 82 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5 + 20. Suppose u*r = 207929 + 313671. Let l be -1875*(r\/3)\/(-4). What is l rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bba85 (base 14) to base 15.\nAnswer: -1491c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.0366395?\nAnswer: 0.073279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 0)*(y - 2*y - y) + y + 0*y + 0*y + 7 + 3*y - 7)*(0*y - 3*y + 5*y) as m + j*y + v*y**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))**(8\/5)*(f\/f**4)**(-8\/3) assuming f is positive.\nAnswer: f**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 683876.814 rounded to the nearest 100?\nAnswer: 683900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191514 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2 - 22*o - 120 = 0?\nAnswer: -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - -20. Let k = b - 51. Let z(s) = 2*s**2 + s + 1. Let x be z(-1). Sort k, 5, x.\nAnswer: x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 440577*b**2*m**4 - b**2*m**2 + 4*b**2*m - 3090*b**2 - 6*b wrt m.\nAnswer: 10573848*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (290\/(-406))\/(3\/21). Let b = -291 + 3203\/11. What is the third biggest value in b, -4, -1, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/15 + 10*z**4\/3 + 72*z**2 + 1. What is the second derivative of o(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024606 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6*l - 4*l - 2, -5*p + 30 = -2*l. Calculate the least common multiple of 11 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - a**2 - 16*a**2 + a**3.\nAnswer: a**3 - 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000001010010111000110 (base 2) in base 10?\nAnswer: -8431046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1632307, -1632498, -1632687, -1632874, -1633059, -1633242, -1633423?\n\"Answer: k**2 - 194*k - 1632114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 + 2184*q**5 - 3*q**4 + 3*q**2 - 4*q - 20 wrt q?\nAnswer: -240*q**3 + 131040*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = -3*g, -s - 3*s = -5*g - 43. Calculate the lowest common multiple of 134 and s.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssxssssxsxxss. Give prob of sequence sxx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/3)\/(5\/(-15)). Let g be (-18)\/(-21)*r\/(-4). Suppose -33*m = -32*m - g. 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: What is 13.9479435 microseconds in days?\nAnswer: 0.00000000016143453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7183, 14358, 21525, 28678, 35811?\nAnswer: 42918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54245423*-0.3.\nAnswer: -16273626.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52540771?\nAnswer: 52540771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154124 (base 6) in base 12?\nAnswer: 8944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 324\/237601?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 4. Let k(f) = -4 - 2*f + 2*f + 3*f - f**h + 1. Calculate k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + (-1 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 58*d**2 - 13*d + 36. Let m = 48 + -61. Let k(y) = -29*y**2 + 6*y - 18. Let h(n) = m*k(n) - 6*c(n). Find the first derivative of h(g) wrt g.\nAnswer: 58*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 10:22 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*t - 108*t - 67*t + 498*t + 51*t.\nAnswer: 255*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 - -252. Let g(f) = -f**3 + 25*f**2 + 70*f - 149. Let s be g(27). Let q = s - t. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71384, 142611, 213838, 285065, 356292?\nAnswer: 427519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12386 - -86700\/7. Let n = -89\/114 - -18\/19. Which is the third biggest value? (a) n (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4)*(b - b - 2*b)*(b**2 + 2 - 2)*(-11 + 11 - 5*b).\nAnswer: 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -2*k + 5*w, 3692 = 3*k - w + 3649 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 906560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -657412 divided by -4?\nAnswer: 164353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 10 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -7)*135\/162 - -375 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**2 + 3*f - 6. Let l(g) = -17*g**2 - 5*g + 9. Let q(y) = -7*h(y) - 5*l(y). List the prime factors of q(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.217 + 0.2281. What is w rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, -17817, 126 in increasing order.\nAnswer: -17817, -4, -3, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 25. Determine z(-8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*r - 607*r + 1218*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 1. Let i(b) = -3*b + 4. Suppose 6 = -5*f - 2*u - 6, 0 = 5*u - 20. Let p(j) = f*q(j) + i(j). Let m = 7 + -5. Give p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.88 + 0.18. Let y = 1.8 + u. What is the closest to y in 0.4, 3\/8, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7\/6 - 2223\/(-1026).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*j - 27 = -0*j, 0 = 2*c + j - 3. Suppose -29 = c*z - 2. Let k(b) = -13*b + 13. Let u be k(z). What is the greatest common divisor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4864 + 4860. What is the third smallest value in y, 1.9, -2\/5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6670 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -510, -1018, -1526, -2034?\n\"Answer: -508*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:31 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(2 + -2 - -1). Let s(i) = i**3 + i**2 + i - 1. Let h(b) = -32 - 8*b**3 + 0*b**2 + 38 - 5*b - 2*b**2 - b - 3*b**2. Calculate q*h(a) + 6*s(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117))**2*3 - (1 + sqrt(13))*-6.\nAnswer: 6*sqrt(13) + 357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370 by -1.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/(14\/56)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y\/y**(2\/7)*y)))*y**10)**(-8)*(y**(-2))**5\/(y*y\/y**5*y**(-1\/6)) assuming y is positive.\nAnswer: y**(-3743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 122155312?\nAnswer: -122155313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {b: 7, w: 1, o: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from qqyiiyiyyyxq?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 2 n when four letters picked without replacement from anwwwnnawnnnnwwnnww.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1045959*a**2 + 2079404 wrt a.\nAnswer: 2091918*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 208 = 12*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l**2 - 4*l**2 + 1539 - 3*l**3 - 1542 + l**3 to r*l**3 + n*l**2 + q*l + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 1. Let n(g) = 3*g**2 - 4*g - 4. Let c be 288\/(-60)*5\/(-2). Give c*m(t) - 3*n(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00909089402 rounded to 5 decimal places?\nAnswer: -0.00909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 81*c**3 - c**2 + 27*c + 28. Determine x(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10272360 by -5.\nAnswer: 2054472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/19)*y*y**(-1)*y)**(-6)\/((y\/(y**(1\/3)\/y))**(32\/5)*((y*y**2)\/y)\/(y**(-4)\/y)) assuming y is positive.\nAnswer: y**(-1655\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18504 or 18435?\nAnswer: 18504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 4*y - 280, -3*y + 112 = 2*a. Suppose -p + 3*p = v + a, -4*p + 122 = 3*v. What is the remainder when p is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + -23187369861.\nAnswer: -23187369860.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4684 - 4684. Put -0.02, z, -1\/7, 5, -0.2 in decreasing order.\nAnswer: 5, z, -0.02, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.155 - -0.29227.\nAnswer: -1.86273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 2*p + 3. Let r be i(3). Suppose 0 = 2*d - 5*d + 4*o - r, 0 = d - 4*o + 26. Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -48. Let d(m) = m**3 - 4*m**2 + 4*m - 6. What is the smallest common multiple of d(4) and ((-24)\/g)\/(4\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1041124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/((4\/(-4))\/(-1)). Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4.88. Let f = q - 3.12. Which is the nearest to 0.1? (a) f (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234\/5 + 47. Put 1, -3, t in decreasing order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11237*j**2. Let d(p) = 2076*p. Determine d(w(b)).\nAnswer: 23328012*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400344, 400416, 400488, 400560, 400632?\nAnswer: 400704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011*p + 1002*p = 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (2*sqrt(325) + 2 - sqrt(325))*6 + (6*(sqrt(325) + -1) - (sqrt(325) + 1 + sqrt(325) + -1 + sqrt(325))))**2.\nAnswer: 270*sqrt(13) + 26332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*d = 13, -4*k + 0*d + 26 = 3*d. Let o(f) = -f**2 + 14*f - 13. Let j be (-3)\/(-2)*182\/21. Let z be o(j). Solve -b + k*b = z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 4. Let g be 8\/(-24) - 34\/6. Let x(f) = -f**3 - 4*f**2 + 10*f - 13. Let l be x(g). Let m(q) = -q - 1. Determine l*t(u) + 2*m(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121836314.\nAnswer: 2, 17, 47, 76243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 327 + 147 - 271 - 1501*d + 564*d + 405 wrt d?\nAnswer: -937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -46. Let a = 33 + y. Suppose -244 = -k - 5*l, 2*k + 4*l - 1304 = -a*k. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.2 (c) 1.317 (d) -0.5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 361*v + 1058. Determine x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*h**3 + 27*h**3 + 2*h**2 - 9 + 10*h - 12*h + h**4 as t + s*h**3 + o*h + b*h**2 + j*h**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3263\/773 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1651298326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*a**2 + 282*a**2 + 303*a**2 + 25 + 287*a**2 - 1165*a**2.\nAnswer: -a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.4 and -0.058931574.\nAnswer: 6.341068426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 30*p + 102. Suppose 10 = t + 7. Let v(y) = 6*y + 20. Let f(z) = t*c(z) - 14*v(z). What is the first derivative of f(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 + -223.9999689. What is p rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 20. Let b(f) = 7577*f + 68195. Let z be b(-9). Solve q*c = -z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35394)\/(-221) - (-6)\/(-39). Calculate the greatest common factor of 96 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 + 5*w**3 - 4*w**3 + (-2*w + 5*w + 2*w)*(1 - 1 + 5*w**2) - 6*w**3 + 4*w**3 + 4*w**3.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 367234 * -6\nAnswer: -2203404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b + -162?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-3)*(-24)\/(-9). Suppose 5*p - r = 2. Suppose -3 = 2*n + 5, 0 = p*s - n - 32. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -128, 5, -1 in descending order.\nAnswer: 5, 2, -1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13382 - 13379. Solve 15 = -3*k - 6*x + x, x + l = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/12 + 17\/3. Let v(t) be the third derivative of -1\/60*t**5 + 7\/6*t**3 + 0 + t**2 + k*t**4 + 0*t. Determine v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -123358, -492884, -1108760, -1970986, -3079562, -4434488, -6035764?\n\"Answer: -123175*n**2 - n - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 3*k - 2. Let z be q(-1). Let a(u) = 3*u**2 - 3*u - 4. Let b(y) = -10*y**2 + 9*y + 12. Let c(v) = z*a(v) + 2*b(v). What is c(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(44\/(-8)))\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7\/9 (b) 6 (c) -2\/3251 (d) 4 (e) -0.1 (f) 41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 5*y**2 - 2*y**3)*(24 - 24 + 5*y) + (y**3 + 2*y**3 - 5*y**3)*(0 + 4*y + 0).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j + 3*j)*(-2 + 5 - 4) + ((2*j - 5 + 5)*(0 - 2 + 1) + 5*j + j - 5*j - j + 3*j - 3*j + 0*j + j + 2*j)*(20 - 145 - 24) as b*j + f and give b.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7189 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from iwppwpzzepwp?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 218. Suppose 0 = 5*u - 81 - t. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(36\/40)*(-4)\/(-10). Let w = -0.2 + -0.1. Which is the second smallest value? (a) -1 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqi. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -432*h**2. Let x(p) = 5*p + 20. Give r(x(n)).\nAnswer: -10800*n**2 - 86400*n - 172800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*i**4 + 0 - 2*i**4 + (-4*i**2 + 4*i**2 + 9*i**3)*(2*i - 2 + 2) in the form b + s*i**4 + c*i**2 + y*i**3 + v*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 23, 44, 71, 104, 143?\n\"Answer: 3*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:25 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8792890 and -53\/8792890.\nAnswer: 8792890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -8\/9, -3, -3\/29, -0.156?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (-2 - 2)*7\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-7))\/q*q*q**(-4)*(q\/((q**(-1\/2)*q)\/q))**(-1\/4)*q\/(q*q**(2\/9)*q*q)*q*q**(-1\/4)*(q\/(q**0*q*q))\/(q**(-4)\/q) assuming q is positive.\nAnswer: q**(-565\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 23*x + 4. Let r(s) = 2*s**2 - 23*s + 5. Give -5*f(i) + 4*r(i).\nAnswer: -2*i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/13 and (-129)\/(-9)*9\/33.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4385516*g**2 - 2668674*g?\nAnswer: -8771032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from qwqqqqwqqqqq.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21778669 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5474 and 2346?\nAnswer: 16422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 72. Let y be h - (-1 - -1 - 0). Let n be 0\/(-2) - (6 - (-14 + 236)). What is the greatest common divisor of y and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:07 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -1, 0.1, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*t + 6*t + 9 = 0, -f = 2*t - 15. Are f and 86\/355 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2064 + -2063. Let f(j) = j**3 + j - 3. Let m be f(0). What is the closest to p in -6, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 33025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 2254?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:03 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 11}. What is prob of sequence nnii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120439414 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-20)*8\/(-6). Let u(f) = -6*f + 21. What is the remainder when u(q) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 131, 203, 289, 395, 527, 691?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 15. Let r be m(13). Suppose 0 = 3*a - 0*a - r. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245, 2492, 3741, 4992, 6245?\nAnswer: 7500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27190 - 27190. Suppose 0 = -3*j + 2*u + 7, 7 = 4*j - 4*u - 1. Solve -3*z = -p + 10, f = -j*z - 2*z - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 - (-228)\/(-54). Let j be (4\/(-1))\/q + 1. Suppose 0*d + 3*d = 0. Solve d = -2*t - j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let o(t) = t - 2. Suppose -x = 4*c - 1, 0 = -0*x - 3*x - 5*c + 10. Let l(z) = -z + 3. Let w(y) = x*o(y) + 6*l(y). Determine w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2 + 2*p + 1\/2*p**2. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147780, 147777, 147774, 147771, 147768?\n\"Answer: -3*l + 147783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f + 296. Let y(d) = d**2 + d - 6. Let g be y(2). What is the units digit of n(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 6*k + 1. Let y be t(5). Let h = y - 26. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**2 + 111*w**2 - 9*w**2 + 36*w**2 - 34*w**2 - 13*w**2 - 19*w**2.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 3, r: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 905147597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2513703 is divided by 35910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 12. Let i be p(-15). Let x be ((-20)\/(-8))\/(i\/24). Let y be (8\/(-20))\/(4\/x). Solve -y*h + 0*j + 2 = -j, 0 = -2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 203*c**2 + 22*c - 33. Let z(f) = 3*f - 4. Give g(w) - 8*z(w).\nAnswer: 203*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217596740 is divided by 137894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 338 + 66. Calculate the greatest common factor of 102 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 49*m + 23. Calculate q(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**2 - 989*k + 90. Determine h(-99).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-57) + 604\/5738. Let s = -297 - -2075\/7. Which is the closest to -1\/3? (a) o (b) 1\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -49. Let u be (0*d\/6)\/(-4 - -3). Suppose 2*n + 0*n - 9 = 3*g, -4*n + 5*g + 17 = 0. Solve -2*m = 2*o - 2, 0 = 2*m + n*o - u*o + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 427015.\nAnswer: -5978210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -334\/5. Suppose -99*o = -93*o + 18. Which is the second biggest value? (a) o (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 371, 496?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) 5.6 (c) -25\/646 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3586*n - 2. Is o(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116374651?\nAnswer: 29, 31, 129449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -460 - -507. What is the remainder when 89 is divided by u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 5. Let u be q(-7). Let l = u - 4. Suppose 87 + 38 = l*m. What is the greatest common factor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -119*r + 16. Let w(u) = -u**2 + 4. Calculate -3*m(z) + 12*w(z).\nAnswer: -12*z**2 + 357*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 81, 208, 441, 816?\n\"Answer: 6*g**3 - g**2 + 18*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -505319*k**3 - 330*k - 638 wrt k.\nAnswer: -3031914*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v + 32. Let f(y) = -2*y**2 + 186*y. Calculate f(b(l)).\nAnswer: -128*l**2 - 464*l + 3904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/28 - 4*h**7\/15 - 7*h**6\/30 + 2*h**5\/3 + 520*h**2. Let f(m) = 0. Calculate m.\nAnswer: -1, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18440 - 464 = -1112*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*-12*322\/(-1008)*2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 5*o + 570 = 0. Suppose 36*v + 460 = o*v. Calculate the lowest common multiple of v and 50.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 12) to base 6\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18258 in -4, 0.4, -0.3, 8\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2. Let m(x) = -x - 546. Give m(t(u)).\nAnswer: -4*u**2 - 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.753182 decades to years.\nAnswer: 87.53182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 5.1. Let b = 52.4 - 46.29. Let d = -0.11 + b. What is the second biggest value in 1, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-15))\/((-116)\/(-290)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4 + 16*v**3 - 303*v**2 - 41*v + 44 wrt v.\nAnswer: -36*v**2 + 96*v - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 215, 664, 1525, 2936, 5035?\nAnswer: 7960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -20*q - 1728. Let z be f(-86). Suppose -2*p + 15 = -4*w + 3*p, 5*w - 5*p + 15 = 0. Suppose w*x - 5 = x. Sort z, -4, 4, x in ascending order.\nAnswer: z, x, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/4)\/(120\/160). Determine u, given that 0 + 0*u**k + 4\/3*u - 8\/3*u**2 - 4\/3*u**5 + 8\/3*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) -2\/9 (c) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**8\/112 + 47*g**6\/120 + 257*g**4\/24 + 2*g**2 - 30. Find the second derivative of m(r) wrt r.\nAnswer: 60*r**3 + 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/4 (c) -2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(sqrt(891))**2.\nAnswer: 16038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29894187*j**3 + 20558*j**2 + 37*j - 7 wrt j?\nAnswer: -179365122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-42)*12*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*k = 389*k - 32674 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11541 + -5865. List the prime factors of p.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2841 in -0.3, 48, -0.2, 2\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 231 = 219. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 + (-14)\/(-6). Suppose -j*r + 2 = 0, 2*t = -0*r - r + 7. What is the derivative of -1 + t - g - 4 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - 4*u**2)*(4*u**2 - 4*u**2 + u**2) + 0*u**4 + 2*u**4 + u**4 + u**4 - 2*u + 2*u - 2*u**4 + 6*u**4 - 3*u**4.\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(3\/6). Let o be ((-96)\/(-5))\/(u*(-4)\/120). Suppose 2*w = -4*w + o. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 1\/(2 - 0)*118?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {l: 7, i: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + -7 + -2 + 14 - (-7 + 6 + 4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*m - 1395, -5*m - 166 = -u + 131. Let v = u - 34. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:45 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*-3*((sqrt(165)*1)\/sqrt(11) + sqrt(15))\/((sqrt(30)*2 - sqrt(30))\/sqrt(10)))*-3)**2.\nAnswer: 432*sqrt(5) + 25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10966 divided by -2.\nAnswer: -5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 2. Let r = -0.2 - 0. Suppose -3*t + 3*n = 6, 3*t - 4*n = 2*t + 4. Which is the closest to 0.1? (a) r (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Solve 0 = -u*w - w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujujujjojj. What is prob of sequence oj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:32 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-7) - (-10)\/35. Suppose -v*r + 0*r = 0. Suppose -4*g + 35 = -s - 24, -5*s + 25 = r. What is the remainder when 30 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((36\/21)\/(-3))\/((-130)\/455). Let y(f) = f**3 - 8*f**2 + 7*f. Suppose -b = 2 - 9. Let x be y(b). Solve c*v - 3*v = x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65, -0.3, 1, 5, 0.3, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*p - 14 + 73*p + 71*p)*(p**3 + 2*p**3 - p**3).\nAnswer: -4*p**4 - 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let i = 17 - 17. Suppose 3*y + 4*j = 0, -2*y = 2*j - i*j. Solve u*o + o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 104, 402, 900, 1598, 2496, 3594, 4892?\n\"Answer: 100*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 7a9317?\nAnswer: 7a9319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 411 divided by -5\nAnswer: -411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.018167 and -230.6.\nAnswer: -230.618167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 - 56504?\nAnswer: -56361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12025 is divided by 11907.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2753, 5503, 8253, 11003?\n\"Answer: 2750*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - l**4 + (l + 1 - 1)*(-3 + 3 - 2*l**3) + 8 - 8 - 8*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661127.\nAnswer: 157, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 + 2*f**2 + 3*f**2 + 16*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:58 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/16 + -13\/80. Let g = -1.95 + 1.8. Let o = g - 0.25. What is the closest to 2 in z, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2872*h**2 + 2140*h**2 - 4*h + 983*h**2 + 5*h + 2673*h**2 as d + y*h + v*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -24.73. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1594)\/36 + 8\/(-36). Let v = p + 46. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7936)\/(-155))\/(-32)*130*-2*(-1)\/(-8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 + 8.371. Let k = l + 2.129. Let c = k + -2.2. Sort c, 4, -2\/15, -2.\nAnswer: -2, -2\/15, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:53 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 3*v - 21 = 6*x, 5*v - 160 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105663 >= 1373600\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51192 = 61*j - 70*j. Suppose -15 = 5*p, 5*g + 2*p - 4421 = j. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 24 = 2*c, -10*c + 8*c - 2*t + 4 = 0. Let y be (c\/(-28)*-12)\/(2\/(-7)). Solve -6*h - 3 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/19 and -21\/74.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 604555.7 millilitres?\nAnswer: 604.5557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/6026596 and 12\/47?\nAnswer: 283250012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttttttttkkttt. What is prob of picking 2 t and 1 k?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6483 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -0.1, -1773?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ukuukukkkuuuuuuuuuuu?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014656*d + 3*d**2 - 2014656*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5200.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*16 + 1 + -57 + 63 is divided by (-4)\/(-6) + (-130)\/(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 45 = 36. Suppose -2*v - 5*t + c = -0*v, 0 = 3*v - 2*t + 7. Let f(y) = 8*y**2 - 2*y + 1. Is f(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 709 - 3646. Suppose 3*w + 5*o = 177, -d = -9*w + 4*w + o. Calculate the remainder when w is divided by (-5)\/(10\/(-6)) - -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(((z**(-2\/23)*z)\/z)\/z))\/z)\/(z**(-2\/61)\/z))**(7\/5) assuming z is positive.\nAnswer: z**(30639\/7015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (-2)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31860461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((4*sqrt(88)*-1*-6)\/(sqrt(24)\/((sqrt(21) - sqrt(21)*-1)\/sqrt(7))))**2 + 2.\nAnswer: -202750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9862)\/(-1416) - (-4)\/2. Let g be -2 - ((-864)\/177 - -3). Let i = g - x. Find the common denominator of i and -59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02373 + 0.03627. Which is the fifth smallest value? (a) -3\/4 (b) -0.5 (c) 0 (d) -0.3 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*f**2 - 9*f - 274*f**2 + 166*f to a*f + t*f**2 + n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = 5*h + 169. Let y be 12\/22*(-27)\/h. Sort -3, 0.4, y, -5 in descending order.\nAnswer: 0.4, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j + 1. Suppose 5*m + 3 = 8*m. Let z(f) = 2*f**2 + 6*f - 3. What is m*z(a) + 4*l(a)?\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -5. Suppose 57 = r*b - 68. Solve 5*o - b = -4*i, o + 0*i = -4*i + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) - 11\/(-3). Suppose h + 29 = 5*r - u*h, -3*h = -5*r + 28. What is the smallest value in 3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16010467.\nAnswer: 11, 1033, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 386 - 247. Let b be (24\/4 - 2)\/((-16)\/(-20)). Suppose -2*q + c = 2*q + b*m, -m + 143 = 4*q. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**6\/40 - u**4\/6 - u**3\/2 - 49*u**2 + 10*u + 7. Let k(o) be the first derivative of w(o). Give k(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -442 - -442. Suppose s = 26*q - 13*q - 1053. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 6*r + 532. Let n(k) = 2*k**2 - 2*k - 2. Let q = -23 + 26. Calculate the remainder when r is divided by n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -79 - (20 - -130).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 6*t**2 - 4*t + 45. Let o be n(5). Suppose 1 = f + x, o*f = -4*f + x + 9. Sort -94, f, -5 in increasing order.\nAnswer: -94, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 31. Let n be g(7). Suppose -d = 4*d - n*d. Suppose -10*a + 8*a - 32400 = d. What is a rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10376*0.045\nAnswer: -466.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 892444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -139, 4, 8 in descending order.\nAnswer: 8, 4, 3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37.397 + 5\nAnswer: -32.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -223917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -28, 160*v = 165*v + 4*s - 64872. Is v a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 488756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*r**3*y**3 - 255*r**3 - 10*r**2*y**3 + r**2*y**2 - 2*r**2 + 2*y**3 wrt y.\nAnswer: 480*r**3 - 60*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, 0, -216, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 127b56 (base 12) to base 4\nAnswer: 1022032302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 - 6*c + 2. Let t be (-15)\/2*(-100)\/(-6). Let d(r) = -10*r + 39. Let q be d(-8). Let f = q + t. What is s(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23422 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*(-1668)\/139.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 11) to base 15.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 7 + 6 = -3*t - 8, 5*t + 7 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*c + 14 = 0, -h - 3*h - 2*c + 4 = 0. Let g be (-40)\/(-6) + h\/6. List the prime factors of 4\/(-8) + g\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, k: 3, e: 3, l: 1}. Give prob of picking 1 p and 3 e.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43 and -332821.03.\nAnswer: -332778.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -1\/4*y**4 + 0*y**5 + 2*y - 1\/14*y**7 + 0*y**6 + 0 + 0*y**3 + 0*y**2. What is the third derivative of h(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 49*c + 3*b = 2 + 11, -3*c - 4*b = -23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-241)\/2)\/(18\/8). Let y = p - -5617\/99. What is the common denominator of ((-3)\/5)\/((11\/18)\/11) and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w - 80 = 0. Is 16 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34063.04 micrograms to kilograms.\nAnswer: 0.00003406304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3*((-44)\/12)\/(-11)))\/(-59)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:14 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.45438t to grams.\nAnswer: 33454380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/42 + 8\/21. Suppose 1 = 2*v + 3*d - 8, -v + d = 8. Which is the nearest to -1\/2? (a) l (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12543239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -287, -588, -915, -1280, -1695?\n\"Answer: -2*o**3 - o**2 - 284*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from dkkdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = w + 3 - 10, 0 = -2*s - 4*w + 18. Solve -3*g - s*u = 2 - 34, -16 = -4*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3 - 15*a - 4 + 4 - 15*a**3 + 3*a**4 - 27*a**2.\nAnswer: 3*a*(a - 5)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q**2 + 3*q + 2. Let k be n(-2). Let p be 56\/1*10\/k. Calculate the greatest common divisor of p and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957240319.\nAnswer: 37, 271, 195197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 12*c - 2. What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 + 8420*c - 58501. Give r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 + -1)) + (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7034 is divided by 1312?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a**2*o**3 + a**2*o**2 + 15*a*o**2 wrt o.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 2, u: 2}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4435521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/(-10) + 5)*(2 - -69). Calculate the highest common factor of 71 and x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 2 = -12*d. Let m = 0.3137 - 0.0137. What is the smallest value in -2, m, d, 2\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-280)*21\/(-3))\/(2\/13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 5, 1, 2\/5, 4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l + 16. Let a = 4 + l. Is 106\/a + 3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and 33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.609 * -0.1\nAnswer: -0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, -36, -4, -58 in decreasing order.\nAnswer: 3, 0, -3, -4, -36, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/120 + 9*y**5\/20 - 2*y**4 - 17*y**3\/2 - 1020*y**2. Determine s(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 194 = 174. Suppose -2*u = 3*r - 211 + z, -5*u = 0. What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/120 + o**5\/12 - o**4\/3 - 4*o**3\/3 - o**2. Suppose -18*g + 271 = -701. Let y = 48 - g. Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 + 337. Suppose -4 = -u - u. Solve t + d = -u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 28*s + 23. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02195 - -1.02195. Which is the second biggest value? (a) 2\/9 (b) h (c) 3.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3622019?\nAnswer: 43, 131, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t + 18. Let v be s(4). Let g = -21 - -35. Let m = v + g. Solve -2*y = 4, -m = 3*f + 3*y + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7129 - -7129.1. What is the nearest to 0.1 in -2\/17, -1, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596 is divided by 280?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 63 = 5*b, 123 = 5*f + b. Suppose -2*a + 4*a + f = 0. Let q be ((-4)\/56)\/(2\/a). Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.9, 2\/11, 0.78, -4.24, -0.2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 12*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18435 divided by 412?\nAnswer: -18435\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 2*i**4 - 4*i**4 + (-i - 5*i + 5*i)*(-5*i**3 + 5*i**3 + 2*i**3) + i + 2*i**4 - i + 2308*i**4 + 122*i**4 + 758*i**4.\nAnswer: 3186*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4071043154?\nAnswer: 2, 853, 2386309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-3840)\/(-150). Let b(d) = -9*d - 10*d + 16*d - d**2. Let g(o) = 4*o**2 + 13*o. Determine s*b(c) - 6*g(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 71 - ((-2)\/13 - 222\/78). Let m be 1\/(5\/n) - (-12)\/(-15). Is 15 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 divided by 162?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -313*v**2. Let b(m) = -11*m**2. Calculate b(o(j)).\nAnswer: -1077659*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*o + 123. Let u = o + -104\/3. What is the second biggest value in 0.2, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 - q)*(2*q - 2*q + q + (4 - 3 + 1)*(2*q + 0 + 0)) + 3*q**2 + 4*q**2 - 6*q**2.\nAnswer: -4*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367492?\nAnswer: 2, 91873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 4 - 5 + 2 to y + w*n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/43)\/((-696)\/1508 + 264\/(-104)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - y + y + y. Let x(g) be the third derivative of 1\/20*g**5 - 2*g**2 + 0*g**4 + 0 + 0*g**3 + 0*g. What is i(x(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*x + x - 55, 3*f + 51 = 5*x. Let c(y) = 5*y**2 - 2. What is the remainder when c(3) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(9\/(-12) + 0). Let p(s) = s + 4. Let a be p(y). Solve -8 = a*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -8.8.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8040 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25770 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1482 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 0.113.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 10 - 2*n**2 - 2310*n + 2297*n. Determine a(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22426480 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.702098cm?\nAnswer: 0.00006702098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 190 (c) -19\/41 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**6\/225 - c**5\/75 - 3*c - 31. Determine k, given that j(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 - 38*n + 452. Determine w(6).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10, -g = -5*d + 4 + 19. Suppose 3*v = -g*c + 245, 7*v = 3*c + 2*v - 396. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 65*n**3 - 5*n. Let w(p) = p**3 - 10*p**2 - 345*p + 213. Let x be w(24). Let h(g) = -32*g**3 + 3*g. Determine x*b(q) - 5*h(q).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -52085*b**2 - 12*b + 12. Let t(y) = 26042*y**2 + 7*y - 6. Let k(s) = 5*t(s) + 2*z(s). Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 2*u. Let v(j) = -j**2 - 100*j + 44. Let f = -272 + 273. Let i(r) = f*v(r) - 6*q(r). Factor i(h).\nAnswer: (h - 22)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 6*x**2 + 6*x + 8. Let b be c(-2). Put -0.4, b, 0.2, -0.2 in descending order.\nAnswer: 0.2, -0.2, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 503237191?\nAnswer: -503237191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*(-18)\/(0 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a**4\/15 - 132*a**3 + 20006*a**2\/15 + 3048*a - 5032\/15 = 0.\nAnswer: -2, 2\/19, 17, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 6\/(-10)*13\/(-3). Which is the nearest to -1\/7? (a) -3 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 1161 - 1161.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895072 is divided by 101?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**3 + 16*a**3 + 1 - 4*a**3 to the form t + j*a**2 + n*a**3 + w*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187061 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1539, 1535, 1535, 1545, 1571?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11453542 + 5?\nAnswer: -11453533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -34, -52, -80, -124, -190, -284, -412?\n\"Answer: -n**3 + 4*n**2 - 19*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200ad (base 15) in base 6?\nAnswer: 2101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8272267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 740?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 4*p - 6. Let n = -37 - -43. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8 - -4. Let z = -0.5 - w. What is the nearest to 0.2 in -1, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 213183 - -38?\nAnswer: 213221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227180?\nAnswer: 2, 5, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - -5) + -4 + 1. Solve 7 = -4*z - m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5507*o - 11 = -5508*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3 - 40*l**2 - 202*l wrt l?\nAnswer: -18*l - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 - w + 1. Give b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743600 divided by -148720.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9 + 3568\/9*c + 198916\/9*c**2.\nAnswer: 4*(223*c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 - 182*p**3 + 559*p**2 wrt p?\nAnswer: -48*p - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 51.656531\nAnswer: 25.8282655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3 - 6*x - 2*x + x + 12*x. Give k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from mooommooomomo?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(184\/(-207)*(-35028)\/112).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h. Suppose -2*x - 3 = 3. Let i be (-7 - 4 - x) + 2. Let m be j(i). Solve m = 3*o - 9, -2*p - 4*o + 27 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -71, -62, -55?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/91 - 9344\/(-3584)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 11 + 10)*(-1 + 13*t + 1).\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(98)*-2.\nAnswer: -84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23609232389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22)*o)\/o**(-3\/22) assuming o is positive.\nAnswer: o**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 4\/7, -137349\/16?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/30 + v**5\/5 - v**4\/2 + 2*v**3\/3 - v**2\/2 + 13*v. Factor y(c).\nAnswer: -(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + m**2 + 43*m - 55. Give n(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 33. List the prime factors of (-30)\/f*(-2 - -4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let h(z) = -2*z**2 + 7*z + 7. Let d be h(4). Suppose -5*x = 3*r + 51, -5*r - 21 - 12 = 4*x. Put d, v, x in descending order.\nAnswer: d, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000110 - -10010001111001?\nAnswer: 10100010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1366 + -34. What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40758358\/1168115 + 2268\/65. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(720) - sqrt(720) - sqrt(20)) + -1*sqrt(20)*5 + sqrt(20))*-2)\/(-2*(2*sqrt(196) - sqrt(196))*-3))**2.\nAnswer: 125\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(24)\/sqrt(48)) + (-2*sqrt(684) + -1)**2)*6.\nAnswer: 156*sqrt(19) + 16422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 100*d**2 + 3 + 3*d + 99*d**2. Calculate s(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 395 = -15. Suppose 0 = a + 3*d + 8 + 2, 6 = -3*a - 3*d. Suppose -n = -3*y - a*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 18*s**2 - 18*s + 420. What is g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*f + 5 = 0, -135*f + 136*f = -2*a + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/55 + -1\/5. Let a = 264.8 + -250.8. What is the smallest value in z, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10111000101101101?\nAnswer: 10111000101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*90\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244\/6447 - -3\/307. Let b(i) be the second derivative of 0 + i + 0*i**2 + h*i**3 + 1\/42*i**4. What is v in b(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -2, 64\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2892652638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4249629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c - 11. Let y(g) = -3*g + 2. Let o be 4\/(12\/(-21)) + 2. Let a = o + 8. Suppose 0 = -4*z - 0*x + a*x + 138, 0 = 2*x + 4. Calculate z*y(p) + 6*s(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(432) - ((sqrt(432) - (sqrt(432) + -2 + sqrt(432))) + sqrt(432))*5) + 5 + 4)**2*2 + -5.\nAnswer: -3024*sqrt(3) + 8653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -311225 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-84) + (-8)\/(-14). Solve 4*n + 4 = -4*l - o, -n - 5 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 134*j - 48*j - 86)*(j + 0*j - 5*j).\nAnswer: 728*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 3*u**5 + 3*u**5 + (-5*u + u + 2*u)*(2*u**4 + u**3 - u**3) - 4*u**5 + 6*u**5 - 3*u**5 - 266*u**5 - 37254 + 37254.\nAnswer: -270*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(252) + 3 + -1 + (-1 + sqrt(448) + 0 + sqrt(448))**2.\nAnswer: -25*sqrt(7) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11042781.8734 + 0.77?\nAnswer: -11042781.1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -2. Let x = 26 + m. Calculate the remainder when 49 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 82. Suppose 0 = -4*d - m + 15, -3*d + 7*m - 6 = 2*m. Calculate the smallest common multiple of d and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*h + 8 + 2, -3*r - 5*h + 6 = 0. Suppose -19 = r*k + 21. Find the common denominator of -43\/4 and (18 + -4)\/(k\/11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 1 + 7. Factor 4*j + 2*j**t + 8 - 6*j + 0*j - 6*j.\nAnswer: 2*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.2 - 2.2. Let n = o + -8.3. Let w = n - 0.4. Which is the biggest value? (a) -2\/5 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(847) + 3 - (5 + (sqrt(847) - (0 + sqrt(847))**2)).\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 555521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 5*a**2 - 5. Let k(q) be the second derivative of 1\/3*q**4 + 12*q + 0 + 2*q**2 - 1\/20*q**5 + 0*q**3. What is 5*k(n) + 4*m(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18*n - 19*n = -3343, 2*n + 4169 = 5*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -710564 and -300.7301.\nAnswer: -710864.7301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/119 - 4224990\/(-98294)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {w: 2, o: 1, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w**2 - 2*w - 1. Let u be n(3). Calculate the greatest common factor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**9\/6048 + u**8\/1680 - u**7\/1680 - u**6\/360 + u**3\/3 + 2. Let s(h) be the third derivative of v(h). What is q in s(q) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12614.69 rounded to the nearest 100?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 31. Let y be ((-2)\/(-3)*13)\/(4\/6). Calculate the least common multiple of x(y) and 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 44547 - 4*h**2 - 14853 - 14849 - 14845.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6314, 25185, 56620, 100625, 157206?\nAnswer: 226369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-242)\/(-2) - (5 - 5). Let r = -4 + 15. Calculate the highest common divisor of r and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-4)\/16 - (-6)\/8). Let m be ((25\/x)\/1)\/(1\/14). Calculate the common denominator of -2 and (m - 19)\/(-2*(-7)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 16*b + 39. Let o be z(-14). Let d = 6 + -2. Let a(t) = o*t + 233*t**2 - 234*t**2 - 7 - d*t. What is a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73238.97ng in grams?\nAnswer: 0.00007323897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -7*z**4\/12 - z**3\/3 + z**2 + 223*z. Let o(a) = 14*a**2 + 5*a - 4. Give -7*g(r) - 3*o(r).\nAnswer: 7*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1512956 + -869956. Round k to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 0.2, 49, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9 + (-85)\/15. Let w be (-11)\/9 - (0 - 1). Put -0.2, w, o in decreasing order.\nAnswer: -0.2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7739261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v + v - 2*v - 2*v + 3*v + (1 - 1 - 2*v)*(0 - 2 + 3) - 1 + 1 + 2*v)*(28*v + 117*v + 592*v).\nAnswer: 2948*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose 5 = 3*c - a. Solve 0 = 3*o + 2*d - 2, -o - 5 = -c*d - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -70. Is -35 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -309, -1072, -2557, -5004, -8653, -13744, -20517?\n\"Answer: -40*j**3 - j**2 + 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -35*r**2 - 2*r + 6. Let n be y(2). Let h = -143 - n. What is the units digit of 80 + h - 12\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 293\/2*d**2 + 233\/6*d**6 + 0*d + 0*d**3 + 0*d**4 + 133 + 0*d**5. Find the second derivative of p(s) wrt s.\nAnswer: 4660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)*t**21 assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82091 and 2175013?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 10*t**2 - t - 18. Calculate j(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**6 + 45527*o**3 - 5930*o**2 - 157 wrt o?\nAnswer: 960*o**3 + 273162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 71 - 71 - 10*u. Let h(m) = 2*m**2. Give h(j(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4.242. Let s = 0.158 - y. Let l be (-23)\/(-7) - 2\/7. Which is the third smallest value? (a) s (b) -5 (c) 2\/9 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62563.02 litres to millilitres.\nAnswer: 62563020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**5 + 44*b**4 + 346*b**3 - 120*b**2 = 0.\nAnswer: -5, 0, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/46929152 and 65\/8799216.\nAnswer: 140787456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 + 152. List the prime factors of f.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873 minus 0.2?\nAnswer: -873.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/983 - -1952\/6881. Let w be -3 - (0\/(-2))\/(-2). What is the closest to x in w, 1\/3, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194938769 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {x: 1, g: 3, a: 6, y: 1, p: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k + 10. Let c be f(4). Let a(d) = 4*d + c*d**2 - 4*d - d + 1. Give a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-539)\/(-28)))\/(4\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.5. Put -3, r, -5\/17, -2 in increasing order.\nAnswer: -3, -2, -5\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcumpou. Give prob of sequence pu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 7 = -4*b, 0 = -2*i + 44*b - 40*b - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(b**3 + b**3 - b**3).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 26*d + 124. Let u be q(-15). Let v = u - -401. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 5624850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**3*u**3*v**3 - 26*n**3 - 29*n**2*u**3*v**3 - 2*n**2*u**2 + n*u*v**3 + 2*u**2*v**2 wrt u?\nAnswer: -30*n**3*v**3 - 174*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, 9, 1\/15, -46?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-4)\/(-14). Suppose -3*u + 2*u - 2 = c. Let j = 6 - u. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l*o**3 + 53552*l*o**2 - 1485*o**3 - o**2 wrt o?\nAnswer: 48*l - 8910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:10 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804029*y - 2412078*y + 804022*y + 804023*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 1\/20*c**5 + 1\/120*c**6 + 0*c - 1\/3*c**3 - 1\/210*c**7 - 1\/24*c**4 - 9*c**2 + 0. Factor g(z).\nAnswer: -(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) -1 (c) 9.7 (d) 0 (e) -0.2 (f) -93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2840\/(-6)*24\/(-20). Suppose 0 = -0*q + 4*q - w. Suppose q = 4*h - m, -4*m = -2*h - 2*h + 148. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l + 3. Let q be y(4). Let n = 17 - q. Solve n*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -13*v + 2\/3*v**3 - 7 - 1\/2*v**2. Let o(f) = -5*f + 1. What is 7*l(c) + 6*o(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + (-56)\/(-20). Let z = -3 + w. Sort z, -3, -5 in descending order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {w: 13, a: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q + 3 + 117. Let l(n) = 30*n. Let r(k) = -12*k. What is q*l(p) - 12*r(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 4*n**5 - 5*n**5 + 2*n**2 + 2*n**5 - 2*n**2 + (2*n - 2*n - n)*(3*n**4 + n**4 - 3*n**4) - 1441*n**4 + 227*n**5 + 1441*n**4.\nAnswer: 229*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from tchzhzthth?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let d = 5 - 4. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 2*l, 3*t - 4*t + 5*l - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2157*l + 7*l**2 - 4282*l + 2165*l to the form g*l**2 + i*l + r and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 51 = 5*y, -w + y - 5*y = 30. Let t = w + 19. Which is bigger: t or -1\/30?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72322*s**4 - 40 + 2*s**3 - 72319*s**4 - s - 10 as t*s + r*s**4 + w*s**3 + d + b*s**2 and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-5))\/(c*c\/((c**(-16)*c)\/c)) assuming c is positive.\nAnswer: c**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6577*j**2. Let z(u) = -5*u**2. Calculate p(z(b)).\nAnswer: -164425*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/225*-10*8\/48?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -61. Let q be (-8)\/o*17\/6. Suppose -5 = g - 0. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 take away -2.742?\nAnswer: 122.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13745 or -10213?\nAnswer: -13745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2052 + -35420?\nAnswer: -33324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - (1044\/(-20))\/3. Suppose 4*d = -4*c + 36, -2*c = -10 - 0. Solve 2*b - 5*g + 1 = -18, 0 = b - d*g + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00742787883 rounded to seven dps?\nAnswer: 0.0074279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347 + -324. What is the highest common factor of 92 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 + 2*i - 8. Let t(b) = -b**3 + b**2. Let r(y) = -4*t(y) + x(y). Let a be r(-6). Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c + 22 + 6 + 2.\nAnswer: 61*c + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*s - 8 = 0, 5*t - s - 24 = 10*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieobubbmube. What is prob of sequence uo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/8 + 8*d**3\/3 + 16*d**2 + 48. Factor j(g).\nAnswer: g*(g + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 + 0)\/(4\/(-4)). Let t = 36 + s. Suppose 3*w + 2*w - 135 = 0. Calculate the highest common divisor of w and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 1. Let a(m) = m + 1. Let l(p) = 8*a(p) + 5*c(p). Let o(k) = 2*k - k + 2*k - 7. Let n(g) = 5*l(g) + 2*o(g). Calculate n(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62307*f**3 + 13*f**2 + 3*f - 5976390 wrt f?\nAnswer: -186921*f**2 + 26*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - -1?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100101111 (base 2) in base 14?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -11315?\nAnswer: -11317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28491 + 370749\/13. Is 27 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t - 7 + 3*t**2 + 6 + 6*t**2 + 8. Let a(u) = -4*u**2 + 3*u - 3. Let d(j) = -7*a(j) - 3*o(j). Let s(q) = -3*q + 9. Give s(d(r)).\nAnswer: -3*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + (3 - 9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 48 = 12*i. Let y(l) = -l**3 + 4*l**2 + 17*l - 16. Let v be y(i). Calculate the greatest common divisor of v and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17565)\/(-1275) + (12 - (-504)\/(-40)) - (2 - -11)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5518, -22135, -49858, -88687, -138622, -199663, -271810?\n\"Answer: -5553*b**2 + 42*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - k + 1. Let g be c(1). Let x be -2 + 0 + 16\/2. Find the common denominator of -1\/8 and 147\/(-6)*g\/x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90477983*x**4 + 136126*x + 322.\nAnswer: -1085735796*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/(-6)*(-124)\/(-496)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 2*s - 1. Let f be v(2). Let z(g) = 9*g**2 + 3*g - 17. Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**6 + 7317*d**4 - 31141*d**2?\nAnswer: 360*d**3 + 175608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -437*t + 4912. Determine x(10).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -6.4. Let l = b + 0.59738. What is l rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Suppose 0 = -0*h - k*h - 36. Let t be (-2)\/(3\/h*2). Solve 5 = -x - 5*v + 2*v, 5*x - t*v = 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 40*n. Let u(g) = g. Suppose -33 = 6*i + 27*i. Determine i*a(v) + 6*u(v).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8615 divided by 3?\nAnswer: 8615\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706426653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103, 133, 199, 313, 487, 733?\n\"Answer: 2*a**3 + 6*a**2 - 2*a + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*d - 2*d. Calculate the greatest common factor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -17. Let f(l) = -3 + l**2 - 5 + 3 + l + 12*l. List the prime factors of f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfnkfkfnnddeeefe. What is prob of picking 2 e and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 0.9 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106932*c**3 + 198161*c**2?\nAnswer: 641592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*1*sqrt(4752) + sqrt(4752) - sqrt(4752)))\/(sqrt(11) + (sqrt(11) + sqrt(22)\/sqrt(2))*4 + (sqrt(495) - sqrt(55))\/sqrt(5)).\nAnswer: 216*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451959?\nAnswer: 3, 79, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441058 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4 - 147*x**3 + 735*x**2 + 77175*x = 0. What is x?\nAnswer: -35, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3267101 kilometers to centimeters.\nAnswer: 32671.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2 + 3*i**2 + 8*i - 11*i - 9*i = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 3 - 0) + (-9 - -3). Which is the smallest value? (a) -4 (b) n (c) -0.1 (d) 10.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -34 + (-6 + -1 - 3) + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-3*g + 4*g + 0*g)*(1 + 1 + 0)*(-3 + 0 + 2)*(4 + 0 + 1) to d + l*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1969 and 158056105?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {o: 2, g: 7, z: 5, q: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 15*c - 4*c as x + z*c and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 63\/(-13) - 2\/(-13). Let h(t) = t**2 + 3*t + 84. What are the prime factors of h(k)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78358.\nAnswer: 2, 7, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10121330432 (base 5) to base 8.\nAnswer: 47342244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 35 = 5*n - 0*n, -n = 2*h - 17. Calculate the remainder when 23 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*l**(2\/5)))\/(l**(4\/5))**14 assuming l is positive.\nAnswer: l**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -5*v + 12, 0 = -3*v - 3*b + 21. Suppose -5*n - v*x + 6*x = 66500004, 66499999 = -5*n - x. What is n rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2691 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let x(t) = -4*t + 7. Let l(z) = -5*f(z) + x(z). Calculate l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20 - 2)\/(-2 - -3). Suppose -6*t + 3*t = -d. Solve f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 962 = 42*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c90 - -11c?\nAnswer: -b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268*k - 2*k**2 + 1268*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-12)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 432*o**2 + 381*o - 89*o - 433*o**2.\nAnswer: -o**2 + 292*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -41\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j = -2*q + 65, -4*j - q + 85 = 0. Let a be 242\/(j\/7 - (-15)\/(-6)). Suppose 0*l - 176 = -4*l. What is the greatest common divisor of a and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3201930 to the nearest 10000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)\/(((sqrt(88) - (sqrt(88) - (sqrt(88)*-2 - sqrt(88)))) + sqrt(88) + sqrt(88))\/sqrt(11)))**2*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 3, r: 1, h: 1, m: 1, k: 5}. Give prob of sequence mkjt.\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 175 - 9735*g**2 + 9733*g**2.\nAnswer: -2*g**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -66*i - 1546 - 162. Let h(k) = k**3 + 24*k**2 - 50*k + 46. Determine h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = k + 23. Suppose 5*x = 397 + k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*r = 8, -3*z + 6*z + 7 = -4*r. Solve 0 = p - z + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 20*q**2 + 8*q + 2. Is 21 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2297*l - 1198*l - 1098*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3*r*v + b**3 + 3*b**2*p*r - 18*b*p*r**2*v + b*v + 2*r**2 wrt v?\nAnswer: -2*b**3*r - 18*b*p*r**2 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offnibj. Give prob of sequence ni.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/10)\/(((-918)\/(-300))\/(-51))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1182 and -41\/551994.\nAnswer: 551994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 6. Let s be y(4). Let g = -0.04 - -0.09. Let f = g + -5.05. What is the second biggest value in s, f, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -21. What is the smallest value in 0.5, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 64 - 0. Suppose 12 - 252 = -5*u. Calculate the greatest common divisor of u and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1178691*r**3 + 193651*r**2 + r.\nAnswer: -7072146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 2*w**2 + 7*w**3 - 8*w + 8*w.\nAnswer: 9*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -182878 (base 9) to base 2\nAnswer: -11011110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 4 - 112*v - 119*v + 144*v.\nAnswer: -114*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 840.49126 rounded to one decimal place?\nAnswer: 840.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 208, 260, 292, 298, 272, 208, 100?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = -2*a + 3*j, 5*a = 5*j + 15. Suppose a = -p + 2 + 2. Suppose 0 = -f - f + p. Solve 4*t + 0 + f = -k, -5*k + 5 = 5*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/52*8\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 28*p**2 + 4*p + 28.\nAnswer: -4*(p - 1)*(p + 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:41 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*q - 42 - 3*q**2 + 33 - 15*q + 3*q**3 = 0. What is q?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 461788*a + 42911688 = 0.\nAnswer: -115354, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1125 and -5\/6552.\nAnswer: 819000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298097.94 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from ttu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z + 859. Determine j(-59).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11634*l**6 - 303*l**2 + 11.\nAnswer: 1396080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3825*w - 131927 = -11599 + 105347 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854 by 2.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q + 68788 = 72572 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11220)\/(-36) - (-4)\/(-6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 9 + 0*w + 6*w + 4*w. Let k(n) = -13*n - 17. Let c(r) = 6*k(r) + 11*t(r). Give c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215375 and 172300?\nAnswer: 861500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -14*k + 97. Let g(j) = 2*j + 3. What is the least common multiple of g(k) and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.048, -54, -18 in descending order.\nAnswer: 0.048, -18, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 40492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489 and 1.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 5*r**2 + 5*r + 4. Let k be x(4). Suppose k*c - 9 = 5*c. Solve 4*w - l - l - 10 = 0, c*w + 15 = -3*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9524511619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84207 + -5052541\/60. Calculate the common denominator of x and -95\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14560, -2234, -19028, -35822, -52616?\nAnswer: -69410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-680)\/332 + (-20)\/(-10). Is r smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnbnnbnnnnnbnn?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 294*d**2 - 295*d - 309. What is p(-146)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/3 (b) -81 (c) -3\/4 (d) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 143.5\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 + w. Let j(g) = 9*g + 3. Calculate d(j(a)).\nAnswer: -243*a**2 - 153*a - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 38 + -33 + 1 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/3 (b) 3\/7 (c) -46.165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2418\/35 or -70?\nAnswer: -2418\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**2 - 26*o - 36. Let d(b) = b**2 - b. Let l(q) = -12*d(q) - i(q). Solve l(c) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 148*q**3 - 17965*q**2 - 133736*q.\nAnswer: q*(q - 229)*(q + 8)*(q + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j - 3. Suppose 0 = -3*z + 3*w, 2 + 19 = 2*z + 5*w. Give k(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {w: 13, f: 3}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4290 and 429?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - 846\/90.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -118 - 152 + 270 - 947*g**2. Let k(q) = 4*q. Give k(n(c)).\nAnswer: -3788*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2473*u**5 + 7103*u wrt u?\nAnswer: 49460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 2 - (37 - 36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68023 * 19.\nAnswer: -1292437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.6565*-0.2\nAnswer: -0.5313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927531013 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) 0 (b) 2 (c) -2 (d) -118 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 274 (base 8) to base 3\nAnswer: 20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**3\/6 - 30*k. Let x(t) = 6*t - 3. Let h(s) = 18*u(s) - 2*x(s). Give h(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7286, -14582, -21890, -29210, -36542, -43886?\n\"Answer: -6*a**2 - 7278*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from {p: 3, f: 7, g: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + -16 + (16 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -10*f + 9*f + 118, 0 = f - 2. Let q(s) be the first derivative of l*s + 0*s**2 - 8\/3*s**3 - 16. Differentiate q(g) with respect to g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717651 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, q: 6}. Give prob of picking 2 q and 1 n.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/22)\/((-1)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 8*q**3 - 2*q - q**2 - 5*q**3 to h + m*q + i*q**2 + v*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 234.9 in -6\/1063, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -24*c**2 + 342*c - 19. What is the remainder when 405 is divided by b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14231 is divided by 618?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l + 32 = 0. Let i = 12 + l. Suppose -i*m = -4*x - 0*x - 23200008, -3*m = -2*x - 17400004. What is m rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93, -66, -53, -60, -93, -158?\n\"Answer: -a**3 - a**2 + 37*a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -480\/11. Let j = 107\/10 + -21\/2. What is the common denominator of k and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 554. Calculate x(60).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -46.00116. Round h to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344045701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.5848ns in minutes?\nAnswer: 0.00000000249308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**2 + 5*w - 7. Let o(q) = 5*q**2 - 7. Let t(p) = -p - 1. Let c(y) = -o(y) + 3*t(y). Suppose -6*x = -31 + 1. Calculate x*c(d) + 3*s(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2235, -12, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = 0, -13*x - 108417 = -3*b - 10*x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28\/9 + -103\/36. Which is the closest to -0.2? (a) -0.4 (b) f (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/112 + l**7\/10 + 3*l**5\/20 - 5*l**4\/12 + l**3\/6 - 1369*l**2 - 2. Find the third derivative of f(c) wrt c.\nAnswer: 180*c**2 + 504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.04 and -50.884.\nAnswer: 205.57136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + s**2 - 4*s - 4 + 1. Let d be i(3). Let m = 10 - 6. Let c(o) = -o - 4. Let f(a) = -a - 3. Give d*c(x) + m*f(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7503 + 1531 = -4*v. What are the prime factors of v?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1680\/252)\/((-4060)\/(-42)) + 119\/377\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 + 3*j + 10. Let h be w(7). Let o = h - -25. Are 4 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 49, 46, 53, 76?\n\"Answer: c**3 - 4*c**2 - 2*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4864247, 19457030, 43778341, 77828186, 121606571, 175113502, 238348985, 311313026?\nAnswer: 394005631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f**3 - 71*f**3 + 4 + 31*f**3 - 4.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 64*w - 1472. Let v be i(23). Let z(y) be the first derivative of 15 + 3\/2*y**2 + v*y + 2*y**3. Find the second derivative of z(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1053 - -1050. Let i(d) = -d**3 - 2*d**2 + 5*d + 2. Give i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - t**2 + 5*t + 2. Let d be l(-2). Solve -d*x - 3 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-421 - 251 + 29)*(-3 + 3 + t).\nAnswer: -643*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.5 - 77. Let i = 1.4 - t. Round i to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:44 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 29\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7733, -7728, -7721, -7712, -7701, -7688, -7673?\n\"Answer: f**2 + 2*f - 7736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9475*l**2 - 9464*l**2 + 18937*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 52 - 60 = 0. Let f = 214\/133 - 12\/7. Which is the closest to 2\/5? (a) f (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-3)\/3) - -2. Let j(d) = -d**2 + 3*d - 4. Let t be j(o). What are the prime factors of 1\/(-1)*28\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 73*h - 247. What is the smallest common multiple of i(5) and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44321222\/141255 + -4990\/3139. Let j = -313 + y. What is the common denominator of j and 65\/21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(18)*-3 + sqrt(18) + 3*sqrt(200))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veje when four letters picked without replacement from {e: 3, j: 1, v: 12, g: 2, l: 1}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2489936 > -2489934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-75)*-5*((-5)\/(-32))\/((-54)\/216).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1315b (base 12) to base 7.\nAnswer: -136124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2\/3 - 4*l + 2\/3.\nAnswer: -2*(l + 1)*(7*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + -611. Let m = -761.99999027 - j. Round m to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 384 = -3*t. Calculate the remainder when 116 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*b + 2 + 6*b - 4.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(-1*sqrt(5) - sqrt(5)))**2 + sqrt(20) + 0 + sqrt(180) + 2.\nAnswer: 8*sqrt(5) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34041367?\nAnswer: 1811, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027369314 to 7 decimal places.\nAnswer: 0.0002737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*m = -5 + 135, 2*v + 0*m + m = 11*m + 244 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + n - 91*x + 100*x = -107, -14 = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 6. Let t(j) = j**2 + 1. Let n(b) = b**3 + 8*b**2 - b - 7. Let d be n(-8). Let s(c) = d*h(c) - 6*t(c). Let y(k) = -k**2. Give y(s(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-4)\/16). Suppose 2*u = -q*u + 8. Suppose u*c - 6 = -c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -609, -1743, -3747, -6861, -11325, -17379?\n\"Answer: -40*n**3 - 75*n**2 + n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbabwabb. What is prob of sequence baaa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1900) + sqrt(19) + (sqrt(1216) + -2)**2)*2 + -4.\nAnswer: 38*sqrt(19) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 3340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 313 by -468.\nAnswer: -313\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012102 - -2?\nAnswer: 1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16554, -16551, -16548, -16545?\nAnswer: -16542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(12) + -5)**2 - (-4 + (sqrt(108) - sqrt(108)*-1))**2).\nAnswer: -1548 + 272*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33242 + -1?\nAnswer: -33243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203435 or -4\/3?\nAnswer: -203435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 50*d**3 + 29*d**2. Suppose 5*s - 2 = -12. Let x(u) = 10*u**3 + 6*u**2. Let l(y) = s*p(y) + 11*x(y). Find the third derivative of l(a) wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605288 = -84*q + 55*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/43848 and -85\/3244752?\nAnswer: 3244752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 785755085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) -5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15718 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.6, -4, -15, -0.3, -10681?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-77245)\/(-280) - 2\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*k + 195 + 15, -5*s = k + 480. Suppose 5 = -5*a - 2*l - 0, -3*a - 3*l = 3. Does 25 divide s\/a - (-6 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45964 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27444437?\nAnswer: 1069, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -24*i + 1491. What are the prime factors of u(-42)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 - 7*f**4\/12 + 20*f**3\/3 - 22*f**2 + 207*f. Let l(o) = 0. Calculate o.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -183, -378, -649, -996, -1419, -1918?\nAnswer: -2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 531672 and -91.\nAnswer: 531581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -3. Let a = 11.5 - z. Let q = -0.131 + 0.631. What is the nearest to 2 in -0.4, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/17, -150, -2\/5, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -62, -5 in decreasing order.\nAnswer: 2, -2, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {b: 2, q: 4, u: 2, m: 2, g: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 0.3 (d) 137 (e) -0.2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -109, 12, -8, -4 in increasing order.\nAnswer: -109, -8, -4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*b - 125*b - 23 + 54*b)*(-4 - 1 + 1) as q + p*b and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7614 and 353769?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 599*k + 8935. Give y(-16).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 14.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1338842*z**2. Let r(h) = 8*h. Calculate r(t(b)).\nAnswer: 10710736*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25408, 50877, 76430, 102109, 127956?\n\"Answer: 7*k**3 + 25420*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17919670.30000044 + -17919669. Let p = 0.291 - -1.009. Let z = r - p. What is z rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1470 (b) 3\/2 (c) -3530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258 - 89. Let k be h\/3 - (-7)\/(-21). Suppose -v = -d - 6, -5*v + 0*d - d + 36 = 0. What is the greatest common divisor of v and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2\/5, -5, -6, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676\/(-792)*-3 - (-397)\/2382?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9)\/((-216)\/4984))\/(-1*1\/(-57))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + w + 6. Let s be o(-5). Let v = s - 18. Let r(d) = -10*d - 23*d + 9*d**2 + 34*d - 9*d. Let b(u) = -6*u**2 + 5*u. Calculate v*b(l) + 5*r(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*h**3 + 1305*h**3 + 1284*h**3 + 1296*h**3 - 5216*h**3.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.68226kg to grams.\nAnswer: 25682.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 8722.\nAnswer: 8722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*15*(-469)\/(-3015)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*24\/(-20). Let a = 8 + u. Suppose 3*d - 255 = -a*g, 115 = 3*g - 4*d - 67. 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: Suppose -6*n - 5*x = -476, 3*n = -5*x + 139 + 94. Solve m + n = 87 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1407798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-105) - (-8)\/(-28). Which is the biggest value? (a) 0 (b) h (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*l - 1857 + 183 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 86*s + 12. Let o be p(-5). Let y = o - -3337\/8. Let q = 547\/4 + -136. Find the common denominator of y and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k. Let i(c) = -1. Let z(y) = -y - 6. Let o(b) = -6*i(b) + z(b). Determine l(o(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6448972 is divided by 646.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + -15) - (-2209 + 2267).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/9, -2, -4\/23, 5 in descending order.\nAnswer: 5, -1\/9, -4\/23, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66457?\nAnswer: 66457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 5*p**2 + 2*p**4 + (15*p**4 + 10*p**4 + 5*p**4)*(-2 + 2 + 2).\nAnswer: 62*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2093.5 * -1.17.\nAnswer: 2449.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 11*o + 5*o)*(-3 + 0 + 5).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163140660.\nAnswer: 2, 3, 5, 29, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/15344873 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96810, 96864, 96954, 97080?\nAnswer: 97242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 405, 5 in decreasing order.\nAnswer: 405, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let r(a) = 1. Let p(d) = 2*d. Let i(t) = -p(t) + 4*r(t). Let o(h) = -2*h - 2*h + 7 + 0*h. Let y(k) = -7*i(k) + 4*o(k). Determine m(y(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.4. Let y = 0.057 - 0.057. Let v = y + 1. What is the closest to v in 0, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46191651 equal to 46191647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-6) + 8103\/(-3285). Let m = -11 + 8. Which is the second biggest value? (a) -6 (b) m (c) 1\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1220 - 1217.677. Let y = -76.56 + 79. Let k = g - y. Round k to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197506462?\nAnswer: 2, 598753231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 22*r**2 - 23*r - 2. Let i be y(-23). Let s(t) = t + 1. Let m(d) = -3*d + 37. Let c(n) = i*m(n) + 6*s(n). What is the derivative of c(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 22. Suppose -3*o - s - 17 = 0, s + 1 - 4 = 2*o. Find the common denominator of (-1110)\/d - 1\/o and 59\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 + 1 + 10*j**2 - 6*j**2 + 2*j**3 + 2*j + 3*j**3 + 0*j**2. Calculate r(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 2201*c**2 - 1952*c**2 - 1958*c**2 + 8063*c**2 - 1959*c**2.\nAnswer: -7*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1688.775ug to kilograms.\nAnswer: 0.000001688775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 3*j - 3749 = 7*d, 0 = -3*d + j + 5606. List the prime factors of (d - 1) + ((-9)\/(-1) - 3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 + 1)*-1. Suppose 0 = -4*n + 3*n + s. Let r be (-72)\/(-30) + (-4)\/10. Solve -r*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - 8. Let m(l) = -11*l**2 - 17. Calculate 13*g(u) - 6*m(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus 26292833154675?\nAnswer: -26292833154713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 + 9378*h**2\/7 + 166774*h\/7 + 521664\/7 = 0.\nAnswer: -13, -57\/14, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -132?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let x(h) = -886*h**2 - 5*h - 5. Let s(j) = -2214*j**2 - 12*j - 12. Let q(t) = -5*s(t) + 12*x(t). Determine u(q(f)).\nAnswer: -876*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (76 - 73) + (3 - 0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*4\/(-6)*1. Solve 3*j - g = 2*j + 2*y, 0 = 2*j - 2*y - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**2 + 2*f - 2*f)*(-4 + 4 - 1) + (3 + 2*f - 3)*(8 - 8 + 3*f))*(-1 - 2*f + 1).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -4 (c) 5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5566707393 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 46*k**2 + 51*k**2 + 188*k**2 - k.\nAnswer: 193*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -25*y + 5. Let w(z) = -13*z + 3. Calculate 4*r(x) - 7*w(x).\nAnswer: -9*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 5. Let v be x(-4). Suppose -3*f + 55 = 16. Let i be -2 - (f\/6)\/(-1). Sort i, v, 4 in decreasing order.\nAnswer: 4, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(475) - (sqrt(475) + -4)) + 0)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 7563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -16\/23239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r + 1. Let k(n) = 4*n - 1. Let w(u) = -7*k(u) - 3*o(u). Let d be w(0). What is the second derivative of 4*j**d + 3*j - 2*j + j wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 22. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s + 8 = 0. Let b be s\/3 + (-7)\/(-3). Suppose b*k + 13 = 73. Calculate the smallest common multiple of 16 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 40. Let v(w) = -2*w + 27. Let u(b) = -5*k(b) - 7*v(b). Let f be u(8). Is ((-127)\/f)\/((-4)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-8366)\/3115)\/(2 + (-12)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 8*u + 6. Let n be z(-7). Let y be (3 - n\/(-1))*8. Solve -3*o + 4 = y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**11*k)\/k)**14)**2)**(-21) assuming k is positive.\nAnswer: k**(-6468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/14405 - 71961\/460960. Calculate the common denominator of 10\/(-112)*93\/5 and n.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 4*m**2 - 2*m**2)*((0 + 0 - m)*(1 + m - 1) + 4 - 1359*m**2 - 1355*m**2 + 2707*m**2).\nAnswer: -24*m**4 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(63\/(-9)))\/(10 - (-3731)\/(-377)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2 - 76684*b + 76685 = 0.\nAnswer: -76685, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-60777)\/6753)\/(252\/(-10))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 12 - 19*q + 17*q**2 - 6*q**2 + q**3 - 3. Calculate the least common multiple of 9 and j(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*o - 3754*o - 321727 = 0 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 - 354*n**3 + 7096*n**2\/5.\nAnswer: -n**2*(n - 4)*(n + 1774)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5775553 and 232?\nAnswer: 46204424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17192*l + 16452*l**2 + 34389*l - 17197*l to m*l + a + f*l**2 and give f.\nAnswer: 16452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-10))\/q)\/q)\/q**(1\/3))**(6\/25) assuming q is positive.\nAnswer: q**(-68\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 4*a + 13. Let h be g(-9). What is the remainder when 230 is divided by h\/(4\/(8\/2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r. Let o be j(4). Suppose -3*t + 7 = 4*p - o*p, 4*t + 5*p = 30. Suppose -m + 2 = 5*b - 0, 2*m - 49 = t*b. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 4*f, 11 + 15 = 5*f + m. Let g(w) = 6*w**2 - 11*w + 9. What is the tens digit of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(14\/3) + (-1500)\/175. Let x be ((-9)\/(-5))\/(c\/(-75)). Solve 0*p + x = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -623\/26 and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 14) in base 7?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 105 = -6*w, 46 = 3*o + w - 29. What is the greatest common divisor of 27 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46196 - -10 - (0 - (-1 - -2)). Let t = v - 27207. What is t rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36543 divided by -13.\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12190, 14640, 18718, 24418, 31734, 40660?\nAnswer: 51190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4002 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3210 times -0.4\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.79 (b) -1\/3 (c) -5 (d) -2\/15 (e) 4 (f) 47\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7832 (b) -8 (c) 5 (d) 0.31 (e) 1\/3 (f) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/33))**(-12\/7))**(-9) assuming w is positive.\nAnswer: w**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -449 (c) -1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377836211 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 - 2781\/11. Put f, -1, -0.4 in decreasing order.\nAnswer: f, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4020)\/225 + 15 - 4\/30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21523129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32787 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -3 - 1 - (-11 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1534, -2948, -4330, -5680, -6998, -8284?\n\"Answer: 16*v**2 - 1462*v - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67669009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/30 + (-17)\/5 + 3. Let h = 0.92 - -0.08. Put h, m, -5 in decreasing order.\nAnswer: h, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q**2 + 17 - 17)*(-132 + 34 - 3).\nAnswer: 2929*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 + 17*c - 8. Suppose 3*y = -12, -5*r + 2*y + 2*y + 71 = 0. Let w be h(r). Find b, given that -2 + 7 - b**2 - 2 + w*b - 903*b = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10278\/(-8565))\/(6*9\/20).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -58. Suppose -4*z = f + 4. Which is the nearest to -1? (a) 5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/20)\/((1\/40)\/(-1)). Suppose t + g = -5*t. Let b = -45 - t. Solve 0 = b*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -141, -313, -553, -861?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 1932\nAnswer: -1931.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44476464 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 99 = -4*l - 1, 68 = 2*o + 4*l. Calculate the greatest common divisor of 182 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12831)\/(-312) + 1 + -1. Suppose -l = l - 82. Let m = l - o. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 9*d = 0. Let t(o) = 0*o + d*o + 2*o + 0*o. Let l(j) = -1. Let r(v) = -5*l(v) + t(v). Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-462)\/(-869))\/14)\/((-90)\/(-60)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 26. Let u(w) = w**2 + 8*w. Let d be 24\/40 + (-48)\/5. Let k be u(d). Calculate the highest common factor of y and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9390, 9376, 9362, 9348?\n\"Answer: -14*a + 9404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14302 + 25?\nAnswer: 14330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 64 + 152 = 0. Let x = -325\/6 + y. Suppose 3*i + 20 - 5 = 0. Put -1, i, x in ascending order.\nAnswer: i, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*k - 169*k + 338*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -15*s**2\/2 + 104. Let q(o) = o + 7. Give q(h(c)).\nAnswer: -15*c + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let o(a) be the second derivative of 1\/6*a**4 + 0 + 3*a + 0*a**3 + 0*a**2. Determine u(o(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 22 = 3*t, 0 = 38*t - 40*t - 12. Let l(r) = -8*r**3 - 3*r**2 + r + 2. Let h be l(-2). Do d and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (2*1)\/(((-8)\/(-15))\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30 + -31)*(35 + -2 + 1). Which is bigger: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**4 + 7*g**3 - g. Let u(c) = 2*c**3. Let y(w) = 4*f(w) - 14*u(w). What is the second derivative of y(r) wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011100001 + 0?\nAnswer: 1010011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1.4. Let t = 0.9 + p. What is the third biggest value in 4\/5, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/5, 48, 76, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(0 + 0 - 4*g**2)*(0*g - 6*g + g).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 + 5 = 0, -2*t = 3*u - 5. Let z(q) be the third derivative of -q**6\/40 + 4*q**2. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2858 or 6?\nAnswer: -2858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 37\/6 (c) -1\/2 (d) -0.2 (e) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412844 and 121006.\nAnswer: 7018348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*d - 7*d - 24 = 0, 5*t = 4*d - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 - -183. What is the closest to -1\/4 in -1, -4, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1324117902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 2. Suppose -31 = -2*l - 5*o + 39, o - 92 = -3*l. Calculate the greatest common factor of a and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021748 to 4 decimal places.\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4) - -1)*(8 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20\/3 - 317\/48. Calculate the common denominator of (49\/(-168))\/(2\/(-40)) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-98)\/(-30). Let n = 61\/10 - z. Let r = -0.8 - -1. Sort 1, n, r.\nAnswer: r, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/24 + 3*b**2. Let r(k) = -7*k**2 + 5. Let u(t) = 4*t**2 - 3. Let f(p) = -6*r(p) - 10*u(p). Determine l(f(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367 + 510. Suppose -y - 133 = -d. Suppose 0 = 5*q - 3*k - 27, 4*q + q = -3*k + 3. Solve -2*u = q*u - y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15*d = -13*d + 73, -35 = -k - 2*d. Solve -18 = -9*c - k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1 + 1 - 6*(sqrt(175) + -2))*-6 + 0)**2 + 2 + 4.\nAnswer: -23400*sqrt(7) + 163590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x + 13. Calculate n(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 87.645 in descending order.\nAnswer: 87.645, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/c**(-1\/14)*c*c\/c**12*c*(c**(2\/5))**(-2\/19) assuming c is positive.\nAnswer: c**(-7941\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1902 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287158 is divided by 143576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2))**(5\/6)\/(l**(-6\/7)*l\/((l\/(l*l**(2\/13)*l)*l)\/l)) assuming l is positive.\nAnswer: l**(-961\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.03 + 7. Let g = -4.03 - x. Let y = -75 + 74. Which is the smallest value? (a) g (b) 6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1\/4, -1.4 in decreasing order.\nAnswer: 1\/4, 0.05, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 3*v**3 + 103 - 69.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365275728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 6*q - 7. Suppose 3*h + 2*h = -25. Let k be r(h). Is 1\/3 + (-1064)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 j, and 1 a when four letters picked without replacement from {i: 2, j: 2, m: 4, a: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56.1, 0, 1.5 in decreasing order.\nAnswer: 56.1, 1.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-85)\/(-9))\/2 - (2 - 5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 4 - (-9 - -1). Let j = w - 6. Let n = 1 + j. What is the second smallest value in n, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqa when four letters picked without replacement from {h: 14, a: 1, q: 3}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59046 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/14518 and -25\/458677.\nAnswer: 391710158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 256957 divided by -6?\nAnswer: -256957\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) - (sqrt(171) + (sqrt(171) + sqrt(171)*-2 - sqrt(171)) + sqrt(171))) - sqrt(171)*-1*-1)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 683 + 643 = 0. Is 2*(-13883)\/(-14) - t\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -0.08. Let f = u + -6.05. What is f rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 157?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-194*d**2 - 148*d**2 - 7*d**3 + 282*d**2)*(3 - 2 + 0) to the form u*d**2 + n*d**3 + m + w*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = 0. Let m = -4 - -8. Suppose w*p + 20 = m*p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 536277 = 3*v, 0 = -421*j + 416*j + 4*v + 893795. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 - -273. Let t be 23\/1 + 1 + 0. Suppose 3*d - t = -q*d. Solve -r - r = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/13 (c) 1.8 (d) -5 (e) 0.07 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuhdh. Give prob of sequence udwh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(540)\/sqrt(5) + sqrt(3)))\/(-3*(sqrt(128) - sqrt(128)*1 - sqrt(128) - sqrt(128)) + sqrt(128)).\nAnswer: sqrt(7)\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*-2*sqrt(95))\/(sqrt(45)\/((sqrt(144) + sqrt(9))*4)).\nAnswer: 1000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x - 6 + 2 - 4. Let v be q(-6). Let g = v - -178. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6, -3*r - 3*n = -17 - 7. Suppose 50 = r*p + 20. List the prime factors of (3\/p)\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {s: 2, i: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 k when three letters picked without replacement from {x: 1, c: 1, f: 1, v: 3, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21 + (23 + -13 - -27). Solve 13*s + u = -z + 17*s, -15 = -3*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4797 - 2731. Suppose 0 = 21*r - q + 638. Calculate the highest common divisor of 68 and r.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -26*u**2 + 1\/120*u**6 - 1\/2*u**3 + 0*u - 1\/10*u**5 + 0 + 1\/12*u**4. Give d(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*(-36)\/((-3)\/1). Let q be 2\/9 + 204\/54. Let v be 59 - (q + -1)\/1. What is the highest common factor of v and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 2884880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 0.1, 8\/43, -94, 2\/3, 2\/7, 1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 18. Calculate the smallest common multiple of 8 and f(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13812621 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -5 - (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-2)\/(-3))*6. Let p = q - -11. Suppose -4*n - 52 = -8*k + 4*k, k = p*n + 17. Calculate the greatest common divisor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6160 = -0*a. Does 33 divide 2\/(-6) - a\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 585 + -640. Let i be d\/(-28) - (-9)\/(-180)*5. Factor 3\/7*a**4 + i*a**2 + 12\/7*a**3 + 0*a + 0.\nAnswer: 3*a**2*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1007, -4002, -8979, -15926, -24831, -35682?\n\"Answer: 2*n**3 - 1003*n**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -71. Suppose 2*n - 421 = -r, -2*n + 2*r + b = -415. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2853880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219639453.\nAnswer: 3, 11, 263, 25307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.43 - 1.4. Let f = -0.03 + m. What is the closest to -0.3 in -4, 1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 5*j - 16. Let l be z(7). Put l, 0, -3 in decreasing order.\nAnswer: 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/8*(-45)\/75?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 - 45*m - 234. Let f be a(-5). Solve 0 = -4*k - 0*l - 5*l - 21, 4*l = 5*k + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2. Let c(w) = -4*w**3 + 6*w**2 + 3*w + 1. Give 6*b(y) - c(y).\nAnswer: -2*y**3 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 + 562. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -5 (b) 1\/2 (c) 3 (d) -258 (e) -453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db - 4?\nAnswer: 1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24671566 + 115.6.\nAnswer: 24671681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 12*f**2 - 3*f - 30. Let k be w(-12). Suppose -u + 16 + k = 4*d, u - d = 7. Calculate the smallest common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + c. Let t be l(-2). Find the common denominator of 1510\/210 - 2\/t and -22\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 + 0.6. Let b be (-3 - -1)*1\/2. What is the third biggest value in -0.2, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*c - 18, 5*c - 3*i = 2*i + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -378 * -0.3\nAnswer: 113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/94400 and -81\/15104.\nAnswer: 377600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11001871?\nAnswer: 1429, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42281.\nAnswer: 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, -5, -62?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10721*c**2 - 8453*c - 2?\nAnswer: -21442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 3*f - 2. Let l be q(-4). Suppose -2 = i - l*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -68, -99, -134?\n\"Answer: -2*y**2 - 21*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(77)\/sqrt(539))**2 + (5 + sqrt(252) - sqrt(7)).\nAnswer: 5*sqrt(7) + 99\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 14 - 2. Let z(t) be the first derivative of 0*t - 5 + 0*t**3 - t**q - 3\/2*t**2. What is the second derivative of z(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*((-16)\/(-30))\/((312\/1716)\/(10\/44))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*n + 4968 + 2401, 0 = -4*n + 5*a + 5891. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5\/7 - 106*o**4\/7 + 311*o**3 + 36280*o**2\/7 - 78672*o\/7 + 5760 = 0?\nAnswer: -12, 1, 56, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*f + 2 - 10, 3*f + 21 = 2*w. Suppose -w*u - u + 8 = 0. Suppose 0 = d - u - 9. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2797002 and 64\/57.\nAnswer: 53143038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*3\/36*2*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1397553 = -11*r + 16*r, 5*v = -4*r + 1164627. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*((-52)\/16 - 1\/(-4)). Let m = -19 - c. Solve 0 = 2*n - 4 - m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 675 = -681 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*u = -u + 25, 5*o = 4*u + 5. Suppose -o*x + 7 = 2. Let l be (2 - x)\/(1\/1). Solve 0 = -p - l + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/2 + 3*j**2\/2 - 15*j. Let r be y(1). Solve -4*x - 2 = 2*l + 3*l, 0 = -2*x - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 89\/2. Which is the nearest to -2\/3? (a) -1\/3 (b) z (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = f + 2*v, -f + 5*v = v - 12. Let s be (-91)\/35 + f\/10. Find the common denominator of (-230)\/(-32) + (-4 - s) and 59\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109854, -219695, -329526, -439341, -549134?\n\"Answer: c**3 - c**2 - 109845*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + 0.084. Let f = 3.804 - t. Let b = f - -0.1. What is the third smallest value in 0.3, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869, -865, -861, -857, -853?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*m**2*w**2 - 4*m**2 + m*w**2 - 13*m - 6*w**3 wrt w.\nAnswer: -36*m**2*w + 2*m*w - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89994, 180007, 270020, 360033?\n\"Answer: 90013*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose 0 = 5*c + w - 13. Suppose 2*z + 3*j - 1 = z, -4*j = c*z - 4. Solve 7*i + 3 = z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.23 times -54?\nAnswer: -120.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22630, -22629, -22622, -22603, -22566?\nAnswer: -22505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9936 and 61\/1946.\nAnswer: 9667728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/27 - 2297\/54. Calculate the common denominator of 2 + 58*3\/(-40) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 108.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -2100?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3822 divide 3592675013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-12)*-6*(-1)\/4. Let l be 9\/d + (-10)\/(-5). What is the nearest to -5 in -3\/2, l, -0.02?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**5))*f)\/(f\/(f*f**(-4)*f)*f)*(f*(f*f**0)\/f)**(-42))\/(f\/f**2*f\/(f\/(f**(-2\/5)*f)*f)*(f*f*f**0*f)\/f*f**3) assuming f is positive.\nAnswer: f**(-213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 7 = 4*b - b - 4*b - g, -3*b + 1 = -2*g - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 495. Let w(a) = 34*a**2 + 5*a. What is w(h(s))?\nAnswer: 34*s**4 - 33655*s**2 + 8328375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3387*i - 2*i**2 + 3410*i + 65*i**3 - 1 - 6803*i as k*i + p + x*i**3 + o*i**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 1140\/(-80))\/(3\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 + 3.16. What is the fourth smallest value in 4\/3, -0.5, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2801 + -1485. Is 1317 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 + -264. Calculate the highest common factor of 119 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*z + 2*s + 44, z = -s - 15. Let k be z\/(-21) - (-122)\/24. Suppose -3*y - 16 = -0*h - 2*h, 5*y = -10. Is h >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Suppose -3*j = -17 + 5. Let g be 2\/(-6) - j\/(-3). Let b(n) = 0*n - 7 - n - 2*n. What is g*b(z) - 5*m(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41464 = -d + 99909. Let f = -57373 + d. Round f to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gddz when four letters picked without replacement from ddzdddzddgdpdggg?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513*q - 513*q - 127*q**2 to y + r*q + g*q**2 and give g.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14692 (base 13) to base 12.\nAnswer: -1a32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 800666.9 millilitres?\nAnswer: 800.6669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3)*r*r*r**(-2\/7))\/(r\/r**(-2\/7))**(16\/9))**(1\/21) assuming r is positive.\nAnswer: r**(16\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 25*h - 7*h)*(-h - 1 + 1 + (2*h - 2*h + 2*h)*(0 + 1 - 4)).\nAnswer: 133*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-490)\/(-735) + (-200)\/3 - -8.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*g - 7*i + 5, 8*g + i - 21 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.44 + -0.06. Let f = 2 + u. Let s be ((-6)\/4)\/((-6)\/(-2)). Which is the second smallest value? (a) -5 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 8*y + y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 26 + 51 = 0. Let l = k - 13. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 4*c**2 - 9*c + 6. What is x(3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 - -861\/4. Let r be 4\/(-3*20\/(-18)). Which is the nearest to t? (a) 4 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 301*v + 296*v = 592*v - 109, 0 = -6*l + 4*v + 188 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t - 6. Let q(s) = 3*s - 2. Let z = -12 - -36. Suppose 0 = -3*u - 0*u + z. Suppose u = -2*k - v - 5, -5*k - 2*v - 31 = 0. Give k*w(x) + 14*q(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 0. What is the greatest common divisor of r and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 = -l, 58*s - 57*s = 4*l + 27. Put 5, -4, l, -6 in decreasing order.\nAnswer: 5, -4, -6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24624569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x + 4. Let w(b) = -2*b**3 - 5 - 6*b**2 + 2*b + 6*b**2. Let o(a) = -3*r(a) - 2*w(a). Calculate the smallest common multiple of 8 and o(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 74, 110, 144, 176, 206, 234?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s + 5129. Let f be q(0). Let n = f - 114. Suppose -5*r + 0*r = -n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 4 in decreasing order.\nAnswer: 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 + 20020?\nAnswer: 20154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*3\/1 - -304?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17855 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:08 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let k = 3.79 + -0.79. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from wgbgbnnnbnnbnwtbnbbb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5518.11l to millilitres.\nAnswer: 5518110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*x = -4*a + 228, -68*x = 3*a - 73*x - 26 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3658*v - 187*v**2 + 1842*v + 1816*v.\nAnswer: -187*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008308 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + y = -14, -3*k - 5*y + 0*y = 26. Put -1, k, 3 in decreasing order.\nAnswer: 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + -67. Let h = o - -361\/3. Factor 2\/3*v**3 + h*v**2 + 0*v + 0.\nAnswer: 2*v**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -31) + -3 + 1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154976381.\nAnswer: 7, 22139483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9766748 divided by -22556.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009298009 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 10*o**2 + 7*o. Let z be 52\/14 - 2\/(-7). Let t = z + -2. Let a(k) = -2 + k**3 - 3*k**2 + t + 2*k. Give -14*a(p) + 4*c(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0889897 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2179, -4361, -6543, -8725?\n\"Answer: -2182*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 161. Let f(g) = g**2. What is f(w(y))?\nAnswer: 16*y**2 + 1288*y + 25921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 84.7, -4\/7, -2\/5?\nAnswer: 84.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187002 and 42.\nAnswer: 1309014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58.68 - -5.\nAnswer: -53.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 120 = 78. Suppose 0 = -a*h + s + 2730, 0 = -h + 30*s - 33*s + 910. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1444 and 221653639.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1473 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n - 7505192 = -270*n. What is the ten thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 - d**2 - 5*d + 7. Let l(y) = -3*y**3 + y**2 + 3*y - 4. Let q be ((-732)\/72 - -9)*6. Calculate q*l(b) - 4*w(b).\nAnswer: b**3 - 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7) + 5015\/413 - (-3 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3168\/(-100320))\/((-2)\/(-20)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = -4*q - 96, -5*f - 114 = 3*q. Let m be 14\/f + 64\/114. Let u = 1552 + -1547. Which is the nearest to 1\/4? (a) m (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let v = d - 1.5. Let x = -0.7 + v. Which is the biggest value? (a) -4 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965025, 965021, 965015, 965007?\nAnswer: 964997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -20*f**2 - 388*f - 3. Let i(p) = -5*p**2 - 96*p - 1. Calculate -11*i(r) + 3*j(r).\nAnswer: -5*r**2 - 108*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 1.5 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -272, -261, -238, -197, -132, -37?\n\"Answer: u**3 + 4*u - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12211?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3398137 and 20767.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 124 - 111 - 9 + 9*v**2. What is x(3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 + 988*p\/9 - 122018\/9.\nAnswer: -2*(p - 247)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**3 + 16*k**2 - 12*k + 21. Let t(j) = j**3 + j**2 - 2*j + 1. Let d(p) = -a(p) + 5*t(p). Is 42 a factor of d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3260.996313 - 3261. What is c rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a316 + -758?\nAnswer: 239669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 - 2*a. Let c(q) = q + 5*q**2 - 3*q**2 - q**4 - q**2. Let f(y) = -2*c(y) + t(y). Factor f(s).\nAnswer: 2*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34519053 divided by -27331?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-34)\/544 - 449\/(-16) and 76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 + -0.9. Let y = -2328 - -2482. What is the biggest value in -3, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1047601 and 2243300.\nAnswer: 3290901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 8 (c) 115 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136586*s = -68412*s - 68361*s + 26741 for s.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411 (base 7) to base 12.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 9720495?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -150*(-22)\/(-2904)*22. Sort 0, 4, 5, r, 1 in increasing order.\nAnswer: r, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**2*x**2 - 1033085*f**2 + 145*f*x**2 + 112*x**3 wrt x.\nAnswer: 10*f**2*x + 290*f*x + 336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 8*v - 3. Let h be z(-6). Let d be ((-24)\/(-15))\/(1\/105). Let y = d - 163. Solve y*w - 4 = -h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/4*(-4)\/6. Suppose 90 = -i*k + 7*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 5*n**2 + 5*n - 20. Let f be l(4). Let m(z) = -z**3 - 13*z**2 + 40*z + 17. Is 2 a factor of m(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74134 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 15\/2*b**2 - 2 + 5\/3*b**3 - 5\/12*b**4 - 24*b. Factor f(p).\nAnswer: -5*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a1 + 1331?\nAnswer: 1a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:39 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmomrxrwouwwrrwxrxw. What is prob of sequence mou?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = p. Suppose -5*f + 25 - p = 0. Suppose -r = 3*y - 42, -f*y + 87 = 3*r - 19. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/6)\/(1\/((-12)\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 - 264. Let s(f) = -2*f + 6. Let m(j) = 3*j - 11. Give r*s(y) - 6*m(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-3)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.594 times -0.05\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2. Suppose -j - 4 = -5*j. Let m = j - 3. Let d(u) = -u**3 - 2*u**2 + u. What is m*b(g) + d(g)?\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61518\/1001 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6916968 centuries?\nAnswer: 830.03616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 38*b**2 - 14*b - 874. Let y(w) = 11*w**2 - 4*w - 290. Let d(z) = 4*l(z) - 14*y(z). Let g(i) = 2*i. Determine d(g(v)).\nAnswer: -8*v**2 + 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 4*x + 5. Let z be v(-5). Suppose -l + 0 + 4 = z. Let t be (-12)\/((-1)\/2 + -1). Solve l = -4*a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/14) + (-405)\/105. Sort -1.3, -1\/5, -0.1, f.\nAnswer: f, -1.3, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 8*b**2 + 51*b**3 + 10*b**2.\nAnswer: 51*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(25*d**4 + 29*d**4 + 239*d**2 + 2*d - 241*d**2).\nAnswer: -108*d**4 + 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28878.\nAnswer: 2, 3, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**19*t**(-21) assuming t is positive.\nAnswer: t**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -573*k**3 + 3*k - 3. Let o be j(1). Let h be (-3)\/4 - o\/12. Let u = -145\/3 + h. Which is the third biggest value? (a) u (b) 8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 32 - 760*t + 8 + 11 in the form y*t + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -15. Suppose -c*a = -4*d + d + 406, 0 = -3*a - 6. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*j = -2 - 1, -5*d + 4 = 4*j. Suppose -s = -y - 8 - 7, d = -s - 3*y + 15. Let p(i) = -16*i + 101. Let m be p(6). Solve 10*q - m*q = -s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.791839 to two dps.\nAnswer: -136.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8 - 120. Let m be 2\/(-8) + 3339\/w. Suppose 0 = -7*b + 364 + m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i + 3570 = -9*i - 111*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 270820*h - 812505.\nAnswer: 5*(h - 3)*(h + 54167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108 + 166?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from zcooxxcoocoxxozoxxo?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329*c - 15189 - 19316 = 13339 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-330))\/((-12)\/22)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*m = -9*t, 3*t = m. Solve 2*v + 3 + 7 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -39, -5\/3, -2, 0.4?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -264, -702, -1310, -2088?\n\"Answer: -85*k**2 - 183*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33936758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(171) - -1*(sqrt(171)*-1 - sqrt(171))) + 1*sqrt(171)*-1 + sqrt(171)))\/(3*((sqrt(441) + 1*sqrt(441))\/sqrt(7))\/sqrt(7)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 12*i**2 + 4*i - 12. Let h be d(12). Let t be 56\/72 + (-8)\/(-36). Let v(z) = -t - 1 + h*z - 38*z. Give v(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70694985 and 3105.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 20. Let b = 5 + w. Let f(k) = -k**3 + 10*k**2 + 7*k - 31. What is the remainder when 111 is divided by f(b)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105 - 462?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - (sqrt(78) + (sqrt(78) - -4*(sqrt(78) + (sqrt(78)*-1 - sqrt(78)))))) + sqrt(78))\/(6*-2*sqrt(6)).\nAnswer: -5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 5*x - 2. Let h be 7\/((-7)\/(-3)) + -4. Let s be 13\/(-4) + h\/(-4). What is k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*n - 0*k + 4*k, 0 = 3*k. Suppose 0 = -y - 4*d + n, 0*y + d = -2*y + 56. Suppose 3*w = 2*w + 5, -w = -5*p + y. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 2704*d**4\/5 - 1588*d**3 + 29296*d**2\/5 - 1104*d = 0. What is d?\nAnswer: -5, 0, 1\/5, 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -0.08239416585.\nAnswer: 11.91760583415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40156, 40155, 40154, 40153, 40152?\n\"Answer: -g + 40157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 144410 + 28882 = 0. Let n = -1212731\/42 + f. Let w = n - 43\/6. Sort w, 2\/19, 0.4 in decreasing order.\nAnswer: 0.4, w, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 * 42\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.6 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79.2 + 657.2. Let g = n - 578. Which is the nearest to g? (a) 2.2 (b) 0.1 (c) -5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5250*f + 5257*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 10\/2*(-259)\/35. Solve -10*q = -u*q + 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let g(x) = 3*x + 3. Let s(v) = -7*v - 5. Let p(d) = -5*g(d) - 3*s(d). What is i(p(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42986477*o**4 - 11224214*o**2 + 2*o?\nAnswer: -1031675448*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:54 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + -143?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + b + 1. Let z be x(-1). Let a = 17 + -15. Let q = a - z. Put q, 4, -5 in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**3 + 0*k**2 - 4*k + 0 + 1\/12*k**4. What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 - 396*h**2 + 59859*h + 3067620 = 0. Calculate h.\nAnswer: -205, -43, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - (1 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1609.4448 + 0.4448. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 1668*p**2 + 188702*p + 3*p**3 - 12333*p + 10742476 + 14*p**3 + 55483*p - 13*p**3 = 0.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87*((-40)\/12)\/5*-1. Suppose 49*l = t*l + 9. Let c(d) = -2*d**2 - d - 1. Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2*r + 22*o**2 - 2*o*r + 41*r wrt o.\nAnswer: -4*o*r + 44*o - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 2684*u + 29776. What is o(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -38. Let u(p) = 5*p**2 + 8*p - 9. What is the smallest common multiple of o and u(2)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k - 12 = 45*k. Suppose -5*j + 8*j - 6 = -k*i, 4*j - 4 = 0. Let x(v) = -v - 1. Let p(m) = 5*m + 5. Give i*p(a) + 2*x(a).\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 1\/9*d**3 - 6*d + 146 + 7\/6*d**2. Factor q(s).\nAnswer: (s - 2)*(s + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -318017 - -1583088613\/4978. What is the common denominator of r and 95\/16?\nAnswer: 39824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -18\/7, -1\/3, 0.1.\nAnswer: -18\/7, -1\/3, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30016 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 5*i**3 + 11 + 229*i**3 + 2686*i - 2686*i + (-2*i**2 + 4*i - 4*i)*(0 + 0 - i) + 1 - 1 + 2*i**3.\nAnswer: 238*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5619608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6856308 and 134240.\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105728749 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - (7297\/318 + 483\/462*-22).\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -18. Let r = -15.8 + h. Let w = r + -2.5. What is w rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/7, -0.03, 2\/11, 2253?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -1\/20*c**5 - c**2 + 1\/6*c**4 - 2*c + 0 + 1\/6*c**3. Factor p(z).\nAnswer: -(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a**2. Let q be -1*2 + -3 + 3. Let r be v(q). Suppose 0 = -3*i - 3*t + r, -i - 4 = 5*t - 12. What is the second smallest value in i, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 5 (c) -2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12140445 is divided by 3035102?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117052790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l**(-3\/8)*l\/(l\/(l**(-8\/3)*l)*l*l)*(l*l**(2\/17))\/l*(l**0*l**14)**(16\/7) assuming l is positive.\nAnswer: l**(10231\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-405)\/75 + (-2)\/(-5). Let x = s + 18. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093911 rounded to three dps?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -776, -1552, -2328, -3104, -3880, -4656?\n\"Answer: -776*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 616 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -7*o**3\/6 - 3*o**2 - 33*o. Let x(m) = 4 - 3 - 6*m - 2 - 4. Give -4*k(l) + 5*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 32 = -0*h. Let r(w) be the first derivative of -w**3\/3 + 13*w**2\/2 - 9*w - 2. Is r(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34783999?\nAnswer: 113, 307823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -2\/347, -17, -50, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 9. Let u(j) = -4*j - 24. Let z be u(-7). Suppose z*d + 3*i - 104 - 12 = 0, 0 = -p*d + 2*i + 70. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 132*v**2 - 2775*v + 58. Determine y(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2430 is divided by 411.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 175.8792 micrometers?\nAnswer: 0.0001758792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 10.7. Let a = m + -1.3. Let g = a - -5.00004. What is g rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-34)\/(-10))\/(4\/30*-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-7 - -3 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27860741 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: Solve 41*z + 460 = -59*z - 15*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -11\/6*d**4 + 46*d**2 + 0*d - 19\/3*d**3 + 0. What is the derivative of q(x) wrt x?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -5, 5*k + 35 = -2*t. What is the third smallest value in 0.5, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82244 divided by 2836?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 75. Calculate the remainder when 25 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 31*w = 10, -2140 = -2*v - 2*w. What are the prime factors of v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/336 and -91\/254?\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f**3 + 3*f**2 + 5*f. Let t(u) be the first derivative of -23*u**4\/4 - 5*u**3\/3 - 4*u**2 + 212. Determine 8*m(x) + 5*t(x).\nAnswer: 5*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15545 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/19950 and 53\/60?\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 37. Let t be g(-21). Suppose -17 = t*v - 12. Let u(d) = 17*d**2 - 2*d - 2. What is the tens digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 46 - 5 - 259689*y**3.\nAnswer: -259689*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -4. Let y = j - 16. Suppose -y*i + 2 = -18. 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 thousands digit of 1052417139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {w: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -57, 0.15, -0.1, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -120*m**2 + 3*m. Let z be a(15). Let i = z + 51969\/2. Let w = -1005 - i. Calculate the common denominator of w and -47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*o + 148 = -458, -2*o - 299 = -p. Let u be p\/(-4) + 1\/(-4). Let s be 2\/11 - 294\/u. Solve s*r + 3 = 5*n - 4*n, -2*r - n - 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010301222 (base 4) to base 14\nAnswer: 1022a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*g + 2506, -m = -6*m + 2*g + 6256. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4766052 is divided by 453?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*q - 246*q**2 + 528*q**2 - 2*q**3 - 276*q**2 to the form u + j*q + z*q**2 + s*q**3 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 939775.\nAnswer: 4\/939775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(20))**2 + sqrt(200)\/sqrt(40) + -2*((sqrt(2880)*-2 - sqrt(2880)) + sqrt(2880)).\nAnswer: 80 + 97*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 3505*a - 3506*a + 7011*a - a**2 - 3.\nAnswer: 4*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-1)\/(-2)). Let i be (2\/2 - -1)*g. Let j be (-2)\/1 + (-82)\/i. Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 2*h + 0 + 0*h**4 + 1\/40*h**5 + 3\/140*h**7 - 3\/80*h**6 + 0*h**3 + 45*h**2 - 1\/224*h**8. Factor g(u).\nAnswer: -3*u**2*(u - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*g + o + 110, -2*g + o = -90. Suppose -4*v - 7*c + 2*c = -81, 3*v + c - g = 0. Calculate the remainder when 40 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.2, -15\/7, 11 in descending order.\nAnswer: 11, 0.2, 0.09, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3068 - 3048. Suppose o + 0 - 4 = -4*d, 0 = -3*o - 12. Let f be d\/(-6) - 1446\/(-18). What is the greatest common divisor of k and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 2, -12, 4 in decreasing order.\nAnswer: 4, 2, -3, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*v = -376867 + 301323 for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.03538 weeks to milliseconds.\nAnswer: 39333397824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/(-49))\/((-29)\/203).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(637)*5*1 - ((sqrt(637) - (2 + (sqrt(637) - sqrt(637)*-1))) + -2*(sqrt(637) + sqrt(637)*-2) + sqrt(637))*4)**2.\nAnswer: -336*sqrt(13) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 0 + 11) - (-11 - -10)) + 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(2*k - 3*k + 0*k)*(2 + 5 - 1)*(-k**2 - 7*k**2 - 11*k**2).\nAnswer: -228*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-4 - 16\/(-8)). Sort 3, 12, g in descending order.\nAnswer: 12, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121590200 to the nearest 1000000.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.0374 (c) 0.056 (d) 0.008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4573.7 times -794?\nAnswer: -3631517.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let h = -149 + 147. Sort i, h, -24, -1.\nAnswer: -24, i, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 < 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) -0.01288 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 31*w**5\/12 - w**4\/8 - w**3\/6 - w**2 - 35. What is the second derivative of t(f) wrt f?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -74, -72?\n\"Answer: 2*y - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or -405?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3301643 micrometers in centimeters?\nAnswer: 0.00003301643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w. Let z(t) = -t + 5. Let r be z(3). Let h(o) = 3*o**2 + 18*o + 9. Let i(n) = n**2 + 4*n + 2. Let d(c) = r*h(c) - 9*i(c). What is a(d(f))?\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -24 - 2850\/(2736\/72)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*v + 99*v - 100 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*t + 656 + 769, t = 5*b + 486. Calculate the remainder when t is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163\/26, -5, 0.03 in decreasing order.\nAnswer: 0.03, -5, -163\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 38, 28, 20, 20, 34, 68?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w. Let g(s) = 2*s**2 + 3*s + 2. Let x be g(-2). Let j be ((-2)\/(-3))\/(x\/6). Determine c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 22*v - 106. Let z be w(26). Let s(t) = -13*t + 2. Let i(k) = 52*k - 9. Calculate z*i(h) - 9*s(h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55\/486 or 0?\nAnswer: 55\/486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 2 = b, 0 = 5*b - 3*o - 10. Suppose 21 = -b*a - 4*l + 57, -4*l + 56 = 4*a. Let j = -5 + 8. Solve -j*w - a = 3*k + 2*k, 4*w + 3*k - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 - 1. Let v be y(2). Let t = 9 + v. Put 1, t, 5 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(3))\/sqrt(4) + sqrt(11)*-3 + -3.\nAnswer: -2*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -22. Suppose a*h = -3*x - 0*x + 280, -3*h + 210 = 2*x. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*b - 478*b + 29626 + 15914 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*a*i**4 + a*i**3 + 2*a*i**2 - 157*a*i - 23*a - 44*i**4 + 15*i**3 - 3*i**2 + 3 wrt i?\nAnswer: 5712*a*i + 6*a - 1056*i + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 564*c**2 + 19596*c + 20164.\nAnswer: 4*(c - 71)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 9) + 26 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73170\/4403 - -1970\/119. Let b = 2\/37 - q. Let s be ((-1)\/2)\/((-1)\/(-2)). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 174 (c) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 8, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:31 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f**1)\/(f**(-1\/3))**(-26))\/((f*f**(-1\/3))\/(f*f**(-3)))**(-1\/41) assuming f is positive.\nAnswer: f**(-197\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09134339096 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -370 + 708. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 40*f**2 + 32*f + 187. Give u(41).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1321 or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730360 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 greater than 0.08856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -779224, -779199, -779158, -779101, -779028, -778939, -778834?\n\"Answer: 8*t**2 + t - 779233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 0*t**2 - 2*t**2)*(-3*t - 6*t**2 + 3*t**2 + 2*t**2).\nAnswer: -t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 53, 106, 179, 272, 385, 518?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p**10*p))\/p)\/p**(3\/7))**(-4\/3) assuming p is positive.\nAnswer: p**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2714*d**2*i**2 + 199995*d**2*i + d**2 + d*i - d - 134*i**4 - 12*i**2 wrt i?\nAnswer: 5428*d**2 - 1608*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-6)\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 6*r - 62. Give a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5119 - 81*q**2 - 2935 + 240*q**2 - 121*q**2 - 11*q**3 wrt q?\nAnswer: -33*q**2 + 76*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3144.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2 + 30*g + 1428?\nAnswer: -2*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 10*a + a - a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Let p(j) be the second derivative of -j**3\/3 - 2*j. Calculate p(r(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/671 + 7161\/75152?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -4*s**3\/3 - 3*s**2\/2 + 3*s - 2. Let v(d) = 4*d**2 + 2*d - 2. Give 2*i(m) + 3*v(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/27 (b) 34 (c) 2 (d) -0.0924 (e) -0.5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4 - (-15)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 w when four letters picked without replacement from wwwwwwwj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29840 - -746103\/25. Which is greater: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -33*u + 13*u. Suppose 2*d - 25 = u*s - 268, -s - 2*d + 51 = 0. Calculate the remainder when 387 is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9775 - 6284. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 2. Let x = 5 + -2. Suppose -27 - x = -5*g. What is the remainder when w(-9) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02648 + 0.67352. Sort -3\/2, 1, d, 2 in decreasing order.\nAnswer: 2, 1, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + -1 + -15 + 8 + 5 - (-7 + 5)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let n(m) be the first derivative of -m**2\/2 - 54. Let d(b) = -12*b**2. Calculate d(n(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64\/11 - -415\/77. Let y(z) = 2*z**3 + 41*z**2 - 12*z + 192. Let l be y(-21). What is the second smallest value in t, l, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:52 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/124 and 9?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1d1 (base 16) to base 11\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/5)\/w*w**(-1\/41)*w**(2\/43)\/(w**(-1\/6)\/w) assuming w is positive.\nAnswer: w**(41719\/52890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16733 - -2?\nAnswer: -16731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -7 (c) -43 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 11. Let f(u) = -u + 6. Let c(l) = -7*f(l) - 4*j(l). Let h(r) = 7*r - 13. What is 39*c(o) + 6*h(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 11*b**2 - 3*b - 30. Let k(s) = 6*s + 7. Let u be k(-3). Let y be l(u). Solve -g = y*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -89*i. Let a(l) = l - 63. Let k(c) = -2*c + 84. Let v(p) = 4*a(p) + 3*k(p). What is v(u(b))?\nAnswer: 178*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211.513 - 211.41. Let j = -10.7669 - -0.8699. Let g = w - j. Which is the third biggest value? (a) -1\/2 (b) 1\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.389 (b) 1.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 3854719?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20194830 divided by -7365\nAnswer: -2742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 5*x**3 + 37 - 52 + x**3 + 4*x**2 + 43 to the form g*x**2 + y*x + w*x**3 + h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -162*v**5\/11 + 59148*v**4\/11 + 171742*v**3\/11 + 177168*v**2\/11 + 76512*v\/11 + 11776\/11 = 0. What is v?\nAnswer: -1, -4\/9, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1708, -504 in decreasing order.\nAnswer: 4, 3, -504, -1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 41 - 29. Is -0.9 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -34. Let o be (-1 + 0)\/(i\/(-4)). Let d be 3\/(9\/(-4)) + 1. Put o, d, 0.2 in descending order.\nAnswer: 0.2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1598)\/(-24) - (-4)\/24 - (-37 - (-3969)\/108).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Let h be x(-3). Let s = -282.808 - -283. Let y = -0.208 - s. What is the smallest value in y, 1\/7, h, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -z - 1, 5*z + i = -i - 17. Let x(p) = 3*p + 12. Let b be x(-5). Let a be (6 + -3)*2\/b. Sort a, z, 1\/5 in decreasing order.\nAnswer: 1\/5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -534192 - 61?\nAnswer: -534223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47328751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106525 + -37390307\/351. Calculate the common denominator of m and 77\/171.\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 582*l**2 + 6*l + 7. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48053 and 9138355.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -115 + 132 + 8\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -23 + 12 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m + 4. Let d(c) = -c**2 + 16*c + 32. Let h be d(-2). Let r(q) = -16*q + 3. Determine h*u(z) + 5*r(z).\nAnswer: -12*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**5 - 22\/15*b**6 + 5\/2*b**4 + 0 - 34*b. Find the third derivative of q(y) wrt y.\nAnswer: -1056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c74b4 + -24?\nAnswer: -9c7508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/12 + (-2)\/8. Let d(b) be the second derivative of 0 - m*b + 0*b**5 - 1\/42*b**7 + 1\/15*b**6 + 0*b**2 + 1\/6*b**3 - 1\/6*b**4. What is a in d(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 1, s: 16}. Give prob of picking 1 x and 3 s.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0298 and 0.6.\nAnswer: 0.01788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x - 11. Let b be u(-5). Does 7 divide (-102)\/12*(b + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/30)\/((10 + 1)\/33). Let t = -422\/321 + -2\/107. What is the biggest value in t, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-773)\/(-4) - (-2)\/(-8). Suppose h + 195 = -2*f. Let o = f - -1153\/6. What is the common denominator of -41\/2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5) - (-72)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9239, 18453, 27639, 36785, 45879, 54909, 63863, 72729?\n\"Answer: -2*t**3 - 2*t**2 + 9234*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 825922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 + 36*q**2 - 16*q - 95. Calculate g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -13?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:33 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*j**3*x**4 - 7*j**3*x + 589*j**3 with respect to x.\nAnswer: 76*j**3*x**3 - 7*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 13290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12 + 0)*(5 - 8 + 6)*(4*l - 3*l - 3*l).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-36))\/((-10)\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127799726 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**3\/11 - 34*f**2\/11 - 8*f + 40\/11 = 0 for f.\nAnswer: -2, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -108. Suppose 4*j - 20 = 0, q - 216 - 555 = -r*j. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184971195 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302 + 254. Let h be i\/(96\/56 + -2). What is the highest common factor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100111 (base 2) in base 4?\nAnswer: 202213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 1.04. Let m be 2 - (-17 - 3\/(-1)). Let y be (-10*(-2)\/m)\/1. Which is the biggest value? (a) y (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -12854*t + 12847*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70 + (1 + -3 - (15 - 13)). Suppose -25*h + 5*h + 74*h**2 + k*h**2 - 65*h**3 = 0. What is h?\nAnswer: 0, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f - 393 - 2*f - 10577*f**3 + 341 - 766 - 524 wrt f.\nAnswer: -63462*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 5. Let d(x) = -1 + 0 - 5*x - 2. Calculate the lowest common multiple of 11 and d(s).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u - 6. Suppose 7*n + 20 = 3*n. Is o(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*r + 77 = 0, 0 = 46*l - 47*l - 2*r + 27. Solve 18 + 1 = l*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Let d(l) = -l**2 - 7*l - 4. Let v be d(-6). Let c = -1\/247 - -499\/1235. Sort g, c, v in decreasing order.\nAnswer: v, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -78*z**3 + 10*z**2 - 8. Let k(w) = -76*w**3 + 8*w**2 - 9. Let s(j) = 5*k(j) - 4*q(j). Differentiate s(f) wrt f.\nAnswer: -204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 591 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -6 - (-1 - -17)) + 36 + 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 62. Let g = 211 + -369. Is x\/(630\/g - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/45*(-474)\/632?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138 - -162) + (-2 - 29).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (45*160\/15750)\/(18\/21)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (540 + -465 - (0 - -23)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -0.07, -0.8, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/70 and 36\/5465.\nAnswer: 76510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**3 - 20*w**3 + w**2 + 5*w**4 + 11*w**3 + 5 + 0*w**4 - 3*w**4 to the form g*w + q*w**3 + i*w**2 + y + u*w**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 13, u: 3}. What is prob of sequence nnww?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4*h = -12. Let n be 1\/h + 143\/52. Sort 2, n, 1.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -6*q - 20. Is 7 a factor of q\/12 + (-2)\/(-12)*796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2*t)**40\/(t**3)**(-2\/31) assuming t is positive.\nAnswer: t**(4966\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-376)\/1128)\/(1\/(-18171)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -7. Let u = 13 + k. Solve r = 3*r + u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -6 (c) -104 (d) 4 (e) -2\/19 (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwvpwvvwwvwbwwwdow. What is prob of sequence pd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from llrljljhljj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**3 - 8*f + 6. Let z(q) = -9*q**3 - 15*q + 11. Let v = 103 - 97. Give v*z(h) - 11*o(h).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 894 - 266. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 - 169. Let l = -3 + 5. Which is the third smallest value? (a) d (b) -0.03 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(196)\/sqrt(7)*-1*-1.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 97*o**8\/168 - o**5\/15 - 2*o**4\/3 - 127*o**2. What is the third derivative of t(r) wrt r?\nAnswer: 11640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42644952 and 49616.\nAnswer: 85289904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 12. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 3. Is ((-23)\/4)\/(n\/112) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**10)\/v))\/v**(-3))**(18\/5)*((v\/v**(-2\/23))\/v**(-1))\/((v*(v**(-2)\/v)\/v*v)\/v**(-3)) assuming v is positive.\nAnswer: v**(-2359\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -156.14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3 - 202380*r**2 - 2967690*r wrt r.\nAnswer: 12*r - 404760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*j - 22 = 0, -4*d + 12*j - 17*j = 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -1, 2, -9, 4, 182 in ascending order.\nAnswer: -78, -9, -1, 2, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603828465?\nAnswer: 3, 5, 40255231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 + 76*g**3 + 240*g**2 = 0.\nAnswer: -15, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 359395*i**2 - 108795515*i + 108436125 = 0.\nAnswer: 1, 303, 71575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 25*z - 2. What is f(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14456 != 14454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1411 + -0.1412959. What is x rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 414*p - 418*p. Suppose 306 = -p*o + 120. Which is the nearest to 1? (a) o (b) 0 (c) 3 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z + 5. Let r be v(-5). Let u = 886 - 746. What is the greatest common divisor of r and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:58 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 11. Let v(g) = -2*g - 9. Let a(y) = -3*c(y) - 4*v(y). Suppose -2*l + 0*p - 2*p = 8, -l - 3 = 2*p. Give a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 46751042 = 26*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let g(j) be the second derivative of 13*j**4\/24 + j**2\/2 + 2*j. Let w(v) be the first derivative of g(v). Determine w(o(p)).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 10. What are the prime factors of 18\/v*(-84)\/18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((12\/(-264))\/(((-5)\/5)\/2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 12*i - 14. Let p(x) = x**2 + x - 1. Let a(o) = n(o) - 5*p(o). Let t be a(5). Let u be 16*1 + (t - 2). Solve -5 = -5*h + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + s**2 + s**2 + (-22 + 52 - 15)*(s**2 + 4 - 4).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r - 2*r)*(3*r - 5*r + 3*r)*(-2 + 10 - 5*r**2 - r + 4*r**2).\nAnswer: 4*r**4 + 4*r**3 - 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -65 (c) -6 (d) 0.4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*g - 4*o, -o + 3*o = -g + 7. Let d be -120 - -117 - (-2)\/2*0. Sort d, g, 2 in descending order.\nAnswer: g, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 9*b + 18. Let g be f(11). Let r be g + 6 + 1 + 1. Suppose -58 - 50 = -r*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348116 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llddlllldl. What is prob of picking 1 l and 2 d?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 118583485 to the power of 1\/2, to the nearest integer?\nAnswer: 10890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -28*a + 27*a - 19, 2*y = a - 6. Let i(g) = -7*g**2. Let d(j) be the first derivative of -8*j**3\/3 + 1. Determine y*d(c) + 6*i(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaayyaayyayaayy. Give prob of sequence yay.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 6*b + 6. Let c be i(-5). Let -v**2 + 0*v**2 - v - c + 2*v + 3*v**2 = 0. What is v?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -25 - 13\/4*v**4 + 3*v + 0*v**3 - 5*v**2. What is the second derivative of a(b) wrt b?\nAnswer: -78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 2*w - 9*w**2 + 0*w**3 - 3*w**3 + 8*w**2 + 2*w**3 to k*w + i + o*w**3 + z*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -165680 (base 9) to base 8\nAnswer: -310332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7793 - 0.1726.\nAnswer: 7792.8274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(144\/15)\/(-3)*(-190)\/(-228).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9733 and -2.\nAnswer: -19466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1125\/300)\/(2\/3*6\/16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 11*t + 7. Let h(l) = -6*l**2 - 58*l + 33. Let z(r) = 2*h(r) - 11*x(r). Give z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -337012, -340946, -347504, -356686, -368492, -382922, -399976?\n\"Answer: -1312*a**2 + 2*a - 335702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(974\/309732).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.152238 - -7.146. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 10*v + 17*v)*(6 + 12*v + 0 - 8)*(-6*v + 2*v**2 + 6*v).\nAnswer: 648*v**4 - 108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*t - 12451 = -105*t + 75 + 6574 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-11 + (-2)\/(-2)). Let u(y) = -y**2 + y + 1. Let j be u(-1). Let h be (-13 - j)\/4 + 43. Calculate the greatest common divisor of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + s - 5*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-186)\/1395)\/(2\/10)*4.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 3. Let b(g) = 4*g**2 - 7*g + 23. Let u(k) = b(k) - 5*n(k). Find c such that u(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4. Let b be p(0). Suppose 4*j = b*y + 16, y = 4*y + j + 20. Let q be 2 - -5*12\/(-10). Sort -1, y, q in ascending order.\nAnswer: y, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/42)\/(6\/9*(6 - 75\/12))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101331 (base 5) to base 4.\nAnswer: -10220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4460444, -4460438, -4460432, -4460426?\nAnswer: -4460420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -793, -788, -773, -742, -689, -608, -493?\n\"Answer: j**3 - j**2 + j - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7117.411ml in litres?\nAnswer: 7.117411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2152*j**2 + 67*j - 265. Let z be y(-21). Round z to the nearest 10000.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 5*m - 19. Is f(-11) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mxmmkcbmccccccxcxcb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 1440*r**3 - 184032*r**2 - 9797760*r - 185177664 = 0. What is r?\nAnswer: -126, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128012 is divided by 224?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 3, a: 11, j: 5, y: 1}?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -12*g - 171. Let p(u) = u**3 + 26*u**2 + 36*u - 35. Is p(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c23 - -16669?\nAnswer: 15746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 28.3. Let t(r) = -r**3 + 28*r**2 + 29*r + 1. Let s be t(29). What is the nearest to s in 4, v, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 less than 0.08853295787?\nAnswer: -59.91146704213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 250151420 (base 6) to base 12\nAnswer: 1722570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20287.8 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/126 and -151\/756294.\nAnswer: 2268882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/6 - 19\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74081 and 57589.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**21\/l**(-1\/19))**(2\/19) assuming l is positive.\nAnswer: l**(800\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623431 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((sqrt(112)\/sqrt(200) + sqrt(70)\/sqrt(5)*5)\/((sqrt(77) - (sqrt(77) + -1*sqrt(77)))\/sqrt(11) - (sqrt(63) + (sqrt(1575) - sqrt(63)))))**2.\nAnswer: 676\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -138, -306, -540?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 8, 14184.5?\nAnswer: 14184.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.62 (b) -0.3 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 3*h, 2*m - 2*h = 74712. What are the prime factors of m?\nAnswer: 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 309561*r**2 + 23961181707*r - 646726255803.\nAnswer: (r - 154767)**2*(r - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 14*z + 6. Let m(d) be the second derivative of -d**4\/4 - 5*d**3\/6 + d**2 - 7*d. Determine 5*f(u) - 14*m(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let l(r) = -r**2 + 14*r - 9. Suppose 104 - 13 = 7*q. Let z be l(q). Solve -z*b - 2*o + 4 = 0, -3*b + 0 = o - p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000 - -111000001001?\nAnswer: 110001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13249, 2, 5, 90, 20 in descending order.\nAnswer: 13249, 90, 20, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-30)*(2016\/(-189) + 10\/6). Sort 4, 0.74, r in descending order.\nAnswer: 4, r, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 - 8. Suppose -4*p + 9 = -g, -p + 3*p + 5*g + 1 = 0. Suppose 0 = 2*m + 3*v - 412, 0*m = -m + p*v + b. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oogddooggvcc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Solve -b*d = 5*j, 2*d + 16 = d + 3*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/(-40)*((-64)\/(-80))\/(54\/900)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 49*l + 296. Determine q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003143267 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/5 - -22\/5. Let f = a - -21\/5. Is 5 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.094, 157547.\nAnswer: 0.094, 1, 157547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236354 - 10?\nAnswer: -236364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Let w(i) = -i**3 - 2*i**2 + 2*i - 2. Let j be w(g). What is the remainder when 31 is divided by -2 - j*(-1 - 17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*15\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6402465*q**3*t - 5388672*q**3 + 1 wrt t?\nAnswer: -6402465*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*m + 1333*m - 90372 = -865*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.5359 and -2.547.\nAnswer: 26.9889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from rdrrdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(10\/9)\/n**(-2\/13)*n**(-9)*n**5*n)**(-4\/11) assuming n is positive.\nAnswer: n**(812\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3036698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 + 189976*u**2 - 948284*u - 71043544 = 0. Calculate u.\nAnswer: -17, 22, 47489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 - 2 - 7*q - 5*q + 14*q. Let j(d) be the first derivative of -d**2 - 8*d + 1. What is p(j(l))?\nAnswer: -4*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360842 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 10325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 93.5. Let d = r - 26. What is the smallest value in -0.1, -8, d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958815 - -0.5?\nAnswer: 1958815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.34 from -11209.71.\nAnswer: -11211.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945310 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 9*n**2 + 17*n + 7. Let p be k(6). Which is the nearest to p? (a) 19.4 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) -0.1 (c) -1\/3 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10548.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30215*r**3 + 12*r**2 - 3*r + 345777?\nAnswer: 181290*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2332.8177 months?\nAnswer: 0.194401475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or 2\/13227?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -356*i**4 + 1312*i?\nAnswer: -4272*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 9*j**2 + 3*j + 5. Suppose -2*q = -3*q - 6. Is k(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let d(i) = 446*i**2 + 462*i**2 - 1540*i**2 + 508*i**2 - 6. Determine d(w(m)).\nAnswer: -124*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3955*k - 3948*k + m = 211, -2*k = 5*m - 65 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26658, 54\/7, 2, 0, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3523220 and 2113932?\nAnswer: 10569660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 46*i - 49. Let j(l) = -3*l**2 + 35*l + 47. Let m(h) = 3*j(h) + 2*u(h). Calculate m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118\/29 + 2789\/493. Which is greater: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n. Let g(t) be the second derivative of -t**7\/1260 - t**4\/6 - 3*t. Let i(j) be the third derivative of g(j). Calculate i(d(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 21*a**2 + 95*a + 75. What is r(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.40004 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 905.5924 millilitres?\nAnswer: 0.9055924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2 + 5*h**2 - 3*h - 2*h**2 - 2*h**2. Let a be f(2). Suppose a = 3*m + j - 49, 5*m - 64 = m - 2*j. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -245?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -2645, -9154, -21837, -42752, -73957, -117510, -175469?\nAnswer: -249892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001975754942 to seven dps.\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (17 - 3) - -12\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45618*a**2 - 26709 wrt a?\nAnswer: -91236*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 + 137*u - 2. Let i(s) = 8*s**2 - 139*s + 3. Give 4*i(z) + 5*w(z).\nAnswer: 2*z**2 + 129*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 528916590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. What is the closest to -0.6 in 2\/5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 3*l + 3*l)*(-132*l + 190*l - 111*l + 3*l**2).\nAnswer: 3*l**5 - 53*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2382 divided by -2\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6956 divided by -3849.\nAnswer: 6956\/3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2539971, -10159847, -22859647, -40639377, -63499043, -91438651, -124458207?\nAnswer: -162557717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25395*j**2 + 222*j + 5835627 with respect to j.\nAnswer: -50790*j + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 - 11940*m**4 - 1406604*m**3 + 4291492*m**2 - 4315392*m + 1442448 = 0.\nAnswer: -2862, -126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 4.1. Let l = -0.4 + c. What is the fourth biggest value in -0.5, 0.5, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27577234\/41 or -672615?\nAnswer: -672615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 494 = 5*y, -3*s + 3*y + 145 = -353. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 7.4. Let t = 0.9 - 1.2. Which is the nearest to -1? (a) r (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -90 (c) 3 (d) 0.34 (e) 0.1 (f) -34 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 8*y + 8232 = 0. Suppose 5*u - 47222 = -3*m, 82307 = 3*m - 4*u + 35067. Let l = m - y. Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 2*t, -8*p + 6*p = 4*t. Let q = p - 3. Let n be (-32)\/(-10) - 20\/(-25). What is the biggest value in n, q, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.61676674 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 143 = -2*p - 150, -5*p + 75 = k. Let d = 853 - k. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c - 2*c. Let f(b) = -10*b**2 - 8*b + 3*b**c - b**3 - 4 - 5. What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 3*o + 2. Let b(p) = -p**3 + 13*p**2 + 15*p + 10. Let z be b(14). Suppose -9*y + y = z. Calculate r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*t + 7 = -17, -2*t = 3*b - 14. Calculate the least common multiple of (-13)\/(-52)*24\/2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.12 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1022606, -2045186, -3067762, -4090334?\nAnswer: -5112902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-r + r - 2*r)*(-5*r + 3*r + r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + -4 + sqrt(468) + sqrt(468) + 2 + sqrt(468) + -6*-1*sqrt(468))**2 + 1.\nAnswer: 120*sqrt(13) + 46802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 + 40 = 0. Suppose -22 + k = 2*m. Let b be 1\/4 - 558\/m. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115091 is divided by 115089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*k + 18*k - 32*k + (2*k + k + 0*k)*(4 + 1 - 4).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -2*i + 0*i**2 + 0*i**4 - 1\/10*i**6 + 0*i**5 + 0 - 1\/6*i**3. What is the second derivative of a(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o - 36. Determine u(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s**3 + 0*s - 1\/60*s**5 + 2 - 1\/24*s**4 - 3\/2*s**2. Let u(t) be the second derivative of o(t). Factor u(x).\nAnswer: -x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(1\/10))**(2\/35) assuming v is positive.\nAnswer: v**(3\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.854? (a) 1\/4 (b) -0.1 (c) -4 (d) -3\/4 (e) -2.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -20. Differentiate -1 + 3*a**2 - 10*a + w*a wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -3758377.9.\nAnswer: 225502.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -570 + 571. Is u != 1\/5320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 2, h: 6, e: 2}. Give prob of sequence heh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -43301081515?\nAnswer: -43301081505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -45, -97, -169, -261?\n\"Answer: -10*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlzzzlllzzizlzlzzj. What is prob of picking 1 j and 3 z?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34205 divided by -3\nAnswer: -34205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 543600 = -86*g. Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {j: 1, e: 8, l: 2, n: 1, c: 1, q: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -79. What is the closest to 0.06 in -3\/4, c, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17049 times -0.63?\nAnswer: -10740.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4 - 555283*q**3 + 117*q - 198623269?\nAnswer: 4*q**3 - 1665849*q**2 + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*t + 4, 972*b + 4*t = 967*b - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11484, 3 in increasing order.\nAnswer: -11484, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1 - 4)*-1. Let j(n) = -3*n**2 + n**3 - n + 3*n**a - 2 - n. What is j(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -10, 0.06, 1.8, 2\/11, -0.01?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 - 8*v + 4. Let a(s) = s**2 + s - 1. Let d(u) = 15*u**2 - 3*u - 1. Let x(t) = -6*a(t) + d(t). Let z(b) = 5*w(b) - 4*x(b). Solve z(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60.5 + -61. Let v = -0.1 - -0.2. Which is the nearest to 1? (a) 5 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240cb (base 13) to base 14\nAnswer: 1a11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 638016 or 638013?\nAnswer: 638016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445920.7 decades in years?\nAnswer: 4459207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.3 (b) -3 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 153*t**4\/4 - t**3\/3 + t**2\/2 - t - 2. Let g be s(1). What is the highest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let t(h) = h. Let r(g) = 3*t(g) - 5*y(g). Let z(q) = q. Determine r(z(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18604689.3 - 18604770.299951. Let h = r - -81. Round h to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) - 320\/(-18). Suppose -l + 4*c + 6 = 0, 5*l - l + 2*c - 6 = 0. Suppose r + a = l*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00995630617 to five decimal places.\nAnswer: -0.00996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -15\/1843?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 + 25 - 195) + (0 - -15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 7199821.1219727\nAnswer: 7199820.9219727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-280) - (-4)\/32?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 3*c - 3*c + (-5 + 3 + 1)*(-2 + 1 - 4)*(2*c - 4*c + 0*c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55286.\nAnswer: 2, 7, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -400334 - -5?\nAnswer: -40032a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 559*x - 560*x, -4*x - 30*l + 129 = 9*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17.72. Let l = 5.28 - h. What is the third biggest value in -2\/15, 0.1, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q**2 + 19*q + 221*q + q**3 - 20*q**2 in the form w*q**3 + d + v*q**2 + p*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372*q + 231 wrt q.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h**2 - 2*h)*(-2*h**2 + h**2 + 0*h**2) + 5*h**4 - 4*h**4 + 2*h**4 + 1069*h**4 - 2374*h**4 + 513*h**4.\nAnswer: -791*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m - 10. Let w = m - -13. Find the third derivative of -2*i**4 - 9*i**2 - 3*i**4 + i**4 - w*i**4 wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98179529 to the nearest integer?\nAnswer: 9909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 290, 2245, 7548, 17873, 34894, 60285?\n\"Answer: 279*d**3 + 2*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85391680.\nAnswer: 2, 5, 11, 17, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r + 6. Let d be n(7). Calculate the common denominator of 93\/2 and ((-36)\/330)\/(8\/d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240367676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-4 + -6)) + (-5 + 7 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 7*k**2 + 5*k - 5. Let r(x) = -x**3 - x**2 + x - 1. Let t(b) = -2*r(b) + v(b). Calculate t(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326 divided by 36.\nAnswer: 163\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - -11?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, -0.206, -24, -3, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2) + (-267)\/(-3). Is 4 - (b\/(-2))\/((-6)\/(-132)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30433021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220980, 441904, 662824, 883740, 1104652, 1325560, 1546464?\nAnswer: 1767364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:49 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 803456497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a + 1. Let u be (-5)\/(-3) - 0 - (-10)\/(-15). Calculate v(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/3 + 608*r**3\/3 - 20188*r**2 + 1867184*r\/3 + 10927270\/3 = 0.\nAnswer: -5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -1 - (10 + -9). Let h(m) = m. Let f be h(b). Solve f*u - u + 26 = -5*y, -2*y - 5*u - 23 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 48*t - 9*t + 27*t + 14*t. Let f(b) = -3*b**2. What is i(f(u))?\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.2 (c) 1\/3 (d) -13 (e) 2\/11 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {p: 8, g: 5}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32, 17, -8\/7, -4.\nAnswer: -32, -5, -4, -8\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121210 + -220111?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7521046861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 2*u + 3)*(21 - 2 + 52)*(3 + 3 - 5) in the form m + p*u and give p.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 - -311. Which is the third biggest value? (a) -5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + d = -155, 5*d + 83 = 3*y - 56. List the prime factors of y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2 - 1 - (-32)\/10). Solve -5*n = b + 4*b + k, 4*n = -5*b - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - f**4 - 2*f**4 - 14*f**4 - 21*f + 21*f - f**4 + 0*f**4 + 3*f**4 + 3*f**4 + 0*f**4 - 5*f**4 + (2*f**3 - 2*f**3 + f**4)*(-3 + 2 - 1).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0464 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + -7. Is (p + (-1 - 1))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5106410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -51. Let n = -21 + 30. Calculate the highest common factor of i and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4) + 2 - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -3. Suppose 7 = 4*n - g*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 5\/((-5)\/(-4)). Let a be 3*-1*(-23)\/3. Suppose -4*m + 18 = 2*j, m = 5*j - 0*j - a. Calculate the greatest common divisor of m and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 16. Let f be (-32)\/(-144)*(-18)\/(-4)*-7. Let a(s) = -2*s - 8. What is f*a(m) - 4*y(m)?\nAnswer: 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6826, -6828, -6830, -6832?\nAnswer: -6834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/5 or -2\/3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 296683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48801 or -49900?\nAnswer: -49900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 13122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 16*n**2 - 2*n. Let p be 910\/(-338) - (-12)\/(-39) - 0. Let f(a) = -2*a**3 - 16*a**2 + 3*a + 1. Determine p*h(y) - 2*f(y).\nAnswer: y**3 - 16*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4 + 258*x**3 + 260*x**2 = 0. Calculate x.\nAnswer: -1, 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:43 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuiz when four letters picked without replacement from {u: 1, x: 4, l: 2, z: 1, v: 6, i: 1}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - 7\/(-4). Suppose c*l - 25 = -3*l. Calculate the least common multiple of l and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5331 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 - 3*s - 8. Let c be f(5). Suppose -4*i - 2 = -c*i. Suppose -112 = -13*u - u. Put -3, i, u in decreasing order.\nAnswer: u, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/528976 and -13\/32.\nAnswer: 1057952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let f(d) = -2*d**2 - 7*d**2 + 14*d**2 + 16*d**2. Determine 18*a(k) + f(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 46\/16 + (-75)\/(-600)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14025 and 14024 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44966 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2126078 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 7*r**4 - r)*(0 - 2 + 4)*(-556 - 36*r + 556).\nAnswer: -504*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 31 = 1062*r - 1057*r, 0 = 2*g + r + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 3.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -903 + 0?\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -85?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564 - 406. Suppose 31*k - c = 90. What is the greatest common divisor of k and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p*z - 1300*p - 184*z**4 - 2*z**2 - 3*z - 6 wrt z?\nAnswer: -4*p - 736*z**3 - 4*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 23 = -t, 6*b + 25 = b. Let v = 69 + -61. Calculate the remainder when t is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.173 - 2.973. What is the second smallest value in -3, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73603*y**2 + 2*y - 50651.\nAnswer: 147206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*d - 1 - 10 + 11 - 2 - d**2.\nAnswer: -d**2 + 232*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 11. Suppose 4*n + 4*k = 32, -3*n = -2*n - 4*k + f. Solve -4*a + n*c + 36 = 0, 0*a = -2*a - 2*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 62. Give m(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 4, m: 16}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -f - 0*s - 66, 104 = -2*f - 5*s. Let c = f + 64. Solve 2*o + 0 - 7 = -g, -c*o + 10 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147))**2 + (sqrt(3) - ((sqrt(12)\/sqrt(4))**2*6 + sqrt(3))).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 24. Let j = -39 + 46. Let u(y) = 2*y**3 - 7*y**2 + 7. Let p(q) = -2*q**3 + 6*q**2 - 6. Calculate a*u(n) + j*p(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -193, -315, -455, -613, -789?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzjj when four letters picked without replacement from wczjjiijwwwjijiisjj.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 4\/7*d**2 - 10\/21*d**3 + 4\/21*d**4 + 21*d - 1\/35*d**5 + 0. Suppose t(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105650*j**2 + 627137*j**2 - 34746*j**2.\nAnswer: 698041*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -356, -714, -1072?\n\"Answer: -358*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1729129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 - 2*i + 16 + 13.\nAnswer: -2*i + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 617757?\nAnswer: -617756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/180 + o**5\/15 + 55*o**3\/6 + 109*o. Let s(d) be the second derivative of i(d). Factor s(n).\nAnswer: -2*n*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 13*t**2 - 14*t - 6. Calculate y(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o - 6. Let n = -8 - -8. Give u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11358202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 251550*a**2. Let m(y) = -14*y**2. Calculate m(i(s)).\nAnswer: -885883635000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -2\/191?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -10.33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4056228531?\nAnswer: 3, 450692059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -2\/3, 9, 70 in decreasing order.\nAnswer: 70, 9, -2\/3, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 9:08 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*j - 302*j - 17*j**2 + 7*j**2 - 198*j**6 + 26*j**6 wrt j?\nAnswer: -20640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/5 - 151\/60. What is the nearest to 1\/3 in 0.4, 5, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 885421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 14\/10 - (-324)\/(-60). Let u be s\/(-20)*24\/(-15). Let z be 2*1\/6*2. What is the closest to u in 3\/7, z, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1136456 - 4?\nAnswer: 1136452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s - 27. Suppose -3*w - 9 = 4*m, 5*w + m + 2*m + 15 = 0. Let q be y(w). Sort 5, 6, 4, q.\nAnswer: q, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**3\/3 + 36*n - 13. Give l(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + -1 + (sqrt(3) + 1)*1)**2.\nAnswer: 8*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 39*b. Let v(q) be the first derivative of -151*q**2 - 6223. Calculate v(u(a)).\nAnswer: -11778*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 761028 times 2.7\nAnswer: 2054775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84))\/sqrt(6))\/sqrt(7)*-3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 - 45084*g + 18945.\nAnswer: 6*g**2 - 45084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -73*g**4\/8 + 38*g**3 + 9*g**2. What is the first derivative of l(b) wrt b?\nAnswer: -219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 35 = -2*j, -6*z + 5*j = -3*z - 50. Suppose 800 = 29*c - z*c. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(54))\/sqrt(6).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + (-11)\/11. Solve -g*k = -6*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*c + 16. Let t be 2*-3 + (27 - (5 - -6)). Solve t*h = 11*h + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1749 = -5*w, 0 = p - 5*w - 646 + 33. What is the lowest common multiple of 34 and p?\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23064222 (base 8) to base 5\nAnswer: -2240220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -62. Let d(z) be the first derivative of 3*z**2\/2 - 6*z - 1. What are the prime factors of d(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**4 - i**3 - 7. Let w(f) = 66*f**4 + 5*f**3 - 5*f**2 + 1746*f + 37. Let o(z) = 5*v(z) + w(z). What is the second derivative of o(c) wrt c?\nAnswer: 852*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + -1*sqrt(1377) + 1)) + sqrt(1377)*1*-1 - (-1 + (sqrt(1377) - (sqrt(1377) + 0)) - (sqrt(1377)*-1 + 4)))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 + 2. Let n be s(-2). Let x(g) = -g**3 + g**2 + 2*g. Determine x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 34*z = -123*z + 620 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-101)\/(-6) - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43948*c - 20975*c - 40209*c in the form i*c + q and give i.\nAnswer: -17236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h**2 + 0*h**2. Let o(r) = -r + 1. Let q(z) = -2. Let u(c) = 2*o(c) + q(c). What is j(u(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0*q**2 + 1\/12*q**4 + 0 + 0*q**3 + 7*q. Let x(k) = 3*k**2. Give x(r(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22887947.\nAnswer: 433, 52859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-2)*(600\/5)\/5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**2*s**2 + 23*i**2*s - 1397*i**2 + s**2 - 10*s with respect to s.\nAnswer: -8*i**2*s + 23*i**2 + 2*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(243) + 1)*-6 + 5.\nAnswer: 22 + 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 18*f = -10. Let h(a) = -22*a**3 + a**2 + a. Determine h(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 6, y: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 130448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l**(-5))\/(l**10\/(l\/l**(-3\/11)*l*l)) assuming l is positive.\nAnswer: l**(-623\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576564 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-14) - 1\/1. Suppose -13 + 1 = -4*c. Put 5, r, c in descending order.\nAnswer: 5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171) + (sqrt(171) - (sqrt(171) + -2)**2)*-3 + -5 - (-2*-1*sqrt(171) - ((sqrt(171) - (sqrt(171) + 1)) + 5))).\nAnswer: -1572 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + j + 0*j. Let i(x) = 4*x - 2. Let a(q) = q - 1. Let r = -7 + 5. Let y(p) = r*a(p) + i(p). Give y(t(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010 - 1011101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8542*o**3 + o**2 - 1. Let v be i(1). Let h = v - -17545. Suppose -j + h - 1003 = 0. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 9*t + 10. Suppose 4*d + 22 + 10 = 0. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wifttth. What is prob of picking 1 w and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 123*p**2 - 256*p - 366. What is h(43)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17722.23 times 0.09\nAnswer: 1595.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25\/2 of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10780\/9 + -1196. Calculate the common denominator of u and 0 + 2 + (-4)\/(216\/166).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 + 13*p**3\/6 - 2*p**2. Let c(m) = m**2 - 5*m + 4. Let b be c(4). What is the units digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/240 - 53*q**4\/96 - 13*q**3\/6 + 15*q**2 - 3*q. Factor y(x).\nAnswer: -(x + 1)*(x + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105.5 - 132. Let o = -4.5 - l. Let n = o + -22.0136. Round n to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + -1*sqrt(475))*-2)**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -31. Let q = -61 + f. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 45. Let s be 3*(m\/9 - -3). Let l be (89 - -2) + (-3 - s). What is l rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 12\/11, -5.2, 0.2, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 795996 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*o = -120*o + 27. Let q be -5 - -6 - (-38)\/o - -1. What is the nearest to 1\/2 in -0.4, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:13 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46924678*y**3 - 92*y + 69692 wrt y.\nAnswer: 281548068*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.84*-0.09.\nAnswer: 5.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 9*w + 12. Let t be k(-8). Suppose -6*v + 20 = -t. Let i be v*(-669)\/(-6)*5. What is i rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-156946.\nAnswer: -4708.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -100. Let p(l) = l**2 - 6*l + 8. Calculate the remainder when 22 is divided by p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**8\/48 - t**5\/4 - 13*t**4\/4 + t**3\/3 + 461*t**2. What is the second derivative of d(l) wrt l?\nAnswer: -140*l**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29040711*h**3*x**2 - 15994*h**3*x - 1732*h**2*x wrt x?\nAnswer: -58081422*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 118\/3127 + (-16533)\/299079\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 - 671*d + 671*d - 18*d**3.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3190443 millimeters to kilometers.\nAnswer: 0.0000003190443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 5*v + w, 3*v - 4*w + 38 = 2*v. Let c = v - -47. Calculate the remainder when c is divided by ((-15)\/(-9))\/((-2)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8531918 hours to microseconds.\nAnswer: 3071490480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufa when three letters picked without replacement from gffagauaafvafafffug?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8720, -8760, -8804, -8852?\n\"Answer: -2*i**2 - 34*i - 8684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 3*b - 2. Suppose 0*n = -n + 2. Let w be u(n). Suppose w*f + 0*f = 28. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**2 + 22*k**2 - 2*k**3 - 58*k**2 + 16*k**2.\nAnswer: -2*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.02. Let z = c + -0.080019. What is z rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5409, -5407, -5403, -5397, -5389, -5379?\n\"Answer: d**2 - d - 5409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02424255703 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 10. Suppose 4*h + 3*s = 16, y*h - 2*s = -0*s - 5. What is the tens digit of (-3)\/6*(-49 - h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54851068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**2 + 1\/60*a**5 + 0*a + 0*a**4 + 1 + 1\/3*a**3. Let v(p) be the third derivative of s(p). Let i(k) = k**2. Give v(i(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4810545*c**3*d + 48*c**2 + 6*c - 56*d + 20 wrt c?\nAnswer: 28863270*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g + 4. Let d(w) = -2*w**2 - 3*w + 7. Let k(t) = 2*d(t) - 5*o(t). Calculate the remainder when k(5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34649317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 4*v**4 + 5*v + 12 + 0*v**4 + 29618*v**2 - 2*v**4 - 29620*v**2 as k*v**2 + d*v + b*v**3 + g + f*v**4 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 7)*(45*o + 29*o - 41*o)*(-3 - 1 + 1).\nAnswer: -297*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 + j. Let c = 8 + -11. Let k(m) = -m**3 - 3*m**2 + m + 4. Let w be k(c). Determine p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 88 = 5*g, -4*h = 3*g - 23. Solve 0 = 3*l - 2 + h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2*z - 1. Let i(y) be the first derivative of -y**3 + 5*y**2\/2 + 3*y - 489. Calculate -2*i(w) - 5*s(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 4. Let f be w(2). Suppose -2*r + 12 = f*r. Suppose -38 = -5*a + 4*p, -10 = -r*a - 0*p - p. Solve -t = -a*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9*o + 1792. Suppose 5*a - 1358 = u, -a = -0*a + 5*u - o. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*f - 8*f**3 + 34*f)*((4*f - 4*f + 10*f)*(-1 - 1 + 5) + 2*f + 0*f + 0*f) in the form x*f**3 + l*f + s*f**2 + g + a*f**4 and give a.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.3, 2, 336, 0, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c + 1\/3*c**3 + 152 + 0*c**2. Let x(t) = 2*t**2 - 57. Give f(x(k)).\nAnswer: 4*k**4 - 228*k**2 + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1907432cm in nanometers?\nAnswer: 1907432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.14, -3\/2, -1, -4 in descending order.\nAnswer: 0.14, -1, -3\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -31. Let b be (92 + 2)*h\/4. Suppose -b*l + 44*l = -15. Solve -l*x = g + 28, -x + 1 = -3*x + 3*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -868 and -869 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61888869 is divided by 49432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34.1 and 9632.\nAnswer: 9666.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/15 (c) -3\/52 (d) 141 (e) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1) + 12\/(2 + 2). Suppose 0*r - 451 = -3*u - 5*r, -5*u + c*r + 700 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8 + -4 + 1400 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f)**(-36) assuming f is positive.\nAnswer: f**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r, -44 = -3*x - x - 2*r. Let n be x\/4*(-6)\/(-5). Suppose 1 = -z + 4*u, n*z + 0*u - 67 = -2*u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*g - 60 = -g, 5*q + 2*g - 75 = 0. Let j be 453\/15 + (-3)\/q. Suppose n - 3*n + j = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by 3\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 + 6*h + 5. Let y be v(-5). Solve 2*t = y, 0*t = 4*j + 2*t + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 511844 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (6\/(-5))\/((-1)\/10) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -23*d**5\/10 + d**4\/6 + 4*d**3 + 87*d. Find the third derivative of k(y) wrt y.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g - 9*g + 196 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**5\/20 + 5*h**4\/4 - 53*h**3\/12 + 17*h**2\/4 - 1179. Determine m, given that g(m) = 0.\nAnswer: 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = v + 114, -2*n + 158*v - 143*v = -104 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/261245 and -55\/156747.\nAnswer: 783735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 12) to base 3.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40705935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2406 - -112?\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/445 and 6\/35.\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 13 = -0 - 13. Solve x = -j + 5*i - 3, -4*i - 9 = -4*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10))**24*((k*k**(-8)*k)\/k)\/((k\/(k**16*k))\/k) assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(468)*2 + (sqrt(637)*2 - sqrt(13)))**2 - (((-1 + (sqrt(325) - sqrt(13)))*-6)**2 + 3).\nAnswer: 288*sqrt(13) + 33098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 20747*s + 41146246.\nAnswer: (s + 2221)*(s + 18526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -23 + (3 - (0 - -2)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*y - 8. Is (4 - (-1 - 1730)) + y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 80 = 285 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 84 = 2*s, -s - 2*t + 5 - 35 = 0. What is the remainder when 80 is divided by -4 + s\/(-2) + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-45)\/27*166545\/(-50))\/((-27)\/(-18)) is divided by 206?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12458 is divided by 1381.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 119.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001110100 + -111000110?\nAnswer: -10101000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t. Let w be x(3). Let s(o) = 17*o + 202. Let r be s(-10). Suppose 2*c + r = 152. What is the highest common divisor of c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82930*o - 82930*o + 7*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1320637 and -2?\nAnswer: 2641274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 5. Let i be j(-4). Let v(y) = y**3 - 4*y**2 + 5*y - 2. Let t be v(i). Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 5*v - 1. Let r(f) = f**2 + 6*f + 5. Let g be r(-6). Calculate x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39777210 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h)\/h)**25*h**(1\/5)\/h**(-2\/7) assuming h is positive.\nAnswer: h**(-1483\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/5, -5, 2\/23, 13 in ascending order.\nAnswer: -5, -2\/5, -1\/4, 2\/23, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1508 + -1?\nAnswer: -a1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjaa when four letters picked without replacement from aajjaaaajjxxjaxjaax?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11)\/(((-15)\/20)\/((-405)\/(-30)))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**6\/24 + i**5\/20 + 7*i**4\/16 - 13*i**3\/12 + 3*i**2\/4 - 151. Find n, given that a(n) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1541 - 1161. Is 36 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, k: 6, u: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 + 6*z**2 + 6*z. Let h be 13\/5 - (-4)\/10. Let w(f) = -f + 4*f - 2*f + f**h. Let s(q) = 6*w(q) - x(q). Find the third derivative of s(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 7. Let n(z) = -5*z**3 - 7*z**2 - z + 2. What is the units digit of n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075152643?\nAnswer: 1075152643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9)*18\/(-3))\/(550\/(-100))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508.1529nm to centimeters.\nAnswer: 0.00005081529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and (16\/10 - 1)\/(7\/175)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppjt. Give prob of picking 2 p and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:25 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 11*o = 52. Let b = o - -10. Suppose -2*a = -5 - 1. Sort 0, a, b in descending order.\nAnswer: a, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5 in descending order.\nAnswer: 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 3*x = 12*h + 58, -13 = -5*h - 2*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let z be -1 + ((-2)\/10 - -1). Let u = -0.35 + 0.55. Sort u, z, x in increasing order.\nAnswer: z, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/(3\/(-12)). Let i = h - -3. Which is greater: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 8:12 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 - 28*n**3 - 12*n**2 + 92*n - 56 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 10. Determine m(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 365 = -5*g, y - 2*g - 62 = 20. Solve 81*u - y*u = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(117) - (sqrt(117) + sqrt(117)*1*2))\/(sqrt(225)*4*4))**2.\nAnswer: 13\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38630617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*i - 5, -3*i - 6 = 16*u - 20*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 3*q. Let s(w) be the second derivative of -w**3\/6 + 15*w**2\/2 - 408*w. What are the prime factors of s(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811786*k + 2 - 811772*k - 3 + 1.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 106\/5*r - 104\/5 - 2\/5*r**2 = 0. What is r?\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12694 and 10.\nAnswer: 63470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(3\/14)\/u))\/(u**7*u)*(u\/((u**(1\/17)*u*u)\/u))**(-5\/2))**(-33) assuming u is positive.\nAnswer: u**(23826\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-4))**(-49)\/(x**(-2)\/(x*x\/x**(-2\/13)))**(-39\/4) assuming x is positive.\nAnswer: x**(-865\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-3) - 6\/(-9). Let j be (-6)\/a - 1 - -72. Suppose -z + 41 = n + 3*z, 3*n - j = -2*z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q - 275. What is p(23)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 36*x**3 - 42*x**3 + 0 + 3 - 2 - 1622*x**2.\nAnswer: -6*x**3 - 1622*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 + 47504*z**3 + 23*z - 47505*z**3 + 17*z**2 to the form w*z**2 + m + p*z**3 + s*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m + m + (-4*m + 2*m + m)*(m - m - m) - m**2 + 0*m**2 + 5*m**2 + (0*m + m - 3*m)*(-m - m + 3*m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294707.\nAnswer: 7, 42101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p**3)*(3 - p - 3) + p**4 + 3*p**2 - 3*p**2 - 13*p + 16*p - 8*p**3 + 17*p**4 - 14*p**4.\nAnswer: 6*p**4 - 8*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -1\/22, -7\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689994179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/8 + 16\/128. Suppose -4*l = 4*v - 80, -3*l + 4*l + t*v - 23 = 0. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 - (-6 - -1*12) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 25*d**3 + d**2 + d - 1. Give h(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 3*c = 8*d + 10, -2*d - 2*c = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8308676 by -4.\nAnswer: 2077169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0876600254836 + -0.0477\nAnswer: -0.1353600254836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 5*y + 6*y + (1 + 0 - 2)*(-1 - y + 1) + (y + 3 - 3)*(2 - 2 + 2) + y + 0*y + y + 10*y + 6*y - 2*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3419236, 3419228, 3419220, 3419212?\nAnswer: 3419204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {g: 8, q: 2, i: 2, y: 5, a: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 7. Let s(n) = -n + 3. Let h(g) = 4*s(g) - x(g). Let a be h(4). What is the third smallest value in 1\/10, a, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*i - 4*i - 1985 = 0, -3*g + 1980 = -3*i. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2. Let q(c) be the first derivative of -6 + 0*c**3 - 1\/12*c**4 - 9*c + 0*c**2. Let b(v) be the first derivative of q(v). Calculate p(b(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1231030 + 11?\nAnswer: 1231101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50198652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 0.228, 3\/29, 1, 3\/2?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -10. Let s = 6 + -3. Suppose s*p - 14 = 4. What is the smallest common multiple of j and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, 107\/4?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2, 12231, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, -2\/11, 2, 12231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 44*n - 4. Let t(h) = -35*h + 3. Let q(y) = 3*r(y) + 4*t(y). Let z(l) = -180*l**2. What is q(z(s))?\nAnswer: 1440*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-4*t + 3*t + 2*t) - 5 - 6*t + 5.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 o when four letters picked without replacement from {z: 5, o: 7, a: 7}?\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b + 587. Determine h(54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -11010000011000?\nAnswer: 11001111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2881.\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/22 (c) 0.5 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -40. Let s be r - 13\/((-52)\/24). Suppose -s*u - 15 = -41. Calculate the remainder when 15 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = -5*m. Let k(y) be the first derivative of -1\/2*y**2 + 0*y**3 + m*y**4 - 3 + 2\/5*y**5 + 0*y. Find the second derivative of k(s) wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3061987\/9 - 340777. Let r = -439565\/792 - v. Find the common denominator of r and 42\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1713 + -1713.0008744. Round j to five dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9107 divided by -6.\nAnswer: 9107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98086758 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**17*n*n**4*n)\/(n**(1\/41)\/n*n**(-2\/5)) assuming n is positive.\nAnswer: n**(-1768\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 + -116 + 268 + 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11594 = 2*x - 376*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 5*y**2 + 114*y + 23 - 34 - 3*y**3 - 116*y - 2*y**4 to s*y + g*y**3 + r*y**4 + q*y**2 + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868 + 54686\/63. Let u = g - -19\/63. Sort u, -2, 2 in increasing order.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.059 - -13.459. Let m = f + -13. Let d be (-4)\/(-6) + 2\/(-6). What is the third biggest value in m, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8388707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 708176, 707964, 707610, 707114, 706476?\n\"Answer: -71*z**2 + z + 708246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 148043 = -41079. What are the prime factors of w?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1491 - 1491. Solve x = 7*q + 2 - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 11*w**2 + 12*w - 4. Let r(k) = -k**3 + k. Let s(q) = -3*r(q) + x(q). What are the prime factors of s(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 0, -41*a + 3*j + 2 = -42*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28242 less than 28241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - t = -53, -23*r - 4*t = -18*r + 82 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/5 + (-2954)\/2110.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137 and 9669.\nAnswer: -1324653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 88.\nAnswer: -5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -2915.\nAnswer: 37895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129\/44 + -11\/4. Let q = 4.6 - -0.4. What is the nearest to -1 in 4, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*o + 29961 = 5*o, 0 = -5*o - 5. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.15778 and -0.1.\nAnswer: 1.05778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Suppose -p - 3*i - i = -14, -3*i = -2*p - a. Suppose p*d + 3*d - 10 = 0. Solve 5*b - 8 = d*k, -b - k - 8 = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3519960 to the nearest 10000.\nAnswer: 3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73420*-172.7.\nAnswer: -12679634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*t - y, 5*y = -2*t + 34 + 60. Suppose -36*h + t*h = -27. Let z be 7 + 207\/h - (-11)\/3. Solve 2 = -z*f + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1556011 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n - 1. Let y(w) = -5*w + 6. Let m(z) = 2*t(z) + y(z). Let r(p) = 28*p + 3. What is -3*m(u) + 4*r(u)?\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49534846.\nAnswer: 2, 24767423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1024*t - 8161. Determine n(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + -2 + -2 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120063*f**5 + 6*f**4*p**3 - 3*f*p**2 - 19*f*p + 12*p**3 + 64 wrt f?\nAnswer: -2401260*f**3 + 72*f**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 2. Let m be p(5). Let d be ((-1)\/m)\/(6\/(-8)). What is the second biggest value in -3, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73235737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m - 5. Let x(h) = -7*h - 2. Let c(j) = 4*t(j) - 9*x(j). Let i be 1\/7 - (-105)\/(-49). Let g = -8 - -7. Let y(s) = -s + 1. What is g*c(d) + i*y(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7964.636ng?\nAnswer: 0.000000000007964636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccaxcbbcrlcrrxlcrall. Give prob of picking 1 a and 2 b.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(72) - sqrt(72)) + sqrt(200)*1.\nAnswer: -4 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61111 or -61235?\nAnswer: -61111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021666195 to five dps.\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 + 3*y**2 - 3*y + 4. Let c(s) = -s**3 + s**2 - s. Suppose 5*o = 14*o + 18. Calculate o*z(a) + 6*c(a).\nAnswer: 2*a**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 68*c**2 - 1055*c + 151. Give a(81).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*41.2\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1))**(-6\/7)*((i\/((i*i\/i**0)\/i)*i)\/i)**(-1\/13))\/(i**(-1)*(i**3\/i)\/i)**(2\/9) assuming i is positive.\nAnswer: i**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-12))\/((-2)\/4). Let d = h - -8. What is the third derivative of -2*z**2 - 3 + z**4 + d + z**2 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - a = -2*i - 7, 3*i = -5*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**44\/(q**0\/q)**33 assuming q is positive.\nAnswer: q**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 148. Suppose d - 15*f = -k*f + 7, 0 = 2*d + 4*f - 14. Calculate the greatest common divisor of 448 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:42 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 + 87. Let c be a(0). Suppose -z + 413 = -c. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmp when four letters picked without replacement from {m: 3, p: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12141*i + 205801. Give s(17).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 78713808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5762, 5, -0.019 in descending order.\nAnswer: 5, -0.019, -1\/3, -5762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**33\/((n**(-5)*n)\/(n*n**(-6\/5))) assuming n is positive.\nAnswer: n**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87916\/1418 + (0 - 20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102)*-5*-1 + sqrt(102)))*-5*-5)\/((sqrt(216)*-4 + sqrt(216))*-2).\nAnswer: -125*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from riwisrriissisrwswwer?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*o + 113 = 103, 2*z + 2*o = 10. Put z, -4, 314 in descending order.\nAnswer: 314, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 - 5*z**3\/2 + 4*z**2 + 20*z. Let l be x(15). Suppose 0 = 10*i - l*i - 2086. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -2 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/68 + 134\/8. Find the second derivative of -c*h + 12*h - 44*h**2 + 10*h wrt h.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1962.59, -7, 2, 2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20926150959 - 8027\nAnswer: -20926158986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 124.7261447615.\nAnswer: 124.5261447615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 - (-2 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in -0.9, 19\/12, 0.05?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 5*i**3 + i**3 + 2*i.\nAnswer: -4*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**3 - 9*r**3 + 10*r**2 + r**4 + 9*r**3 in the form f*r**4 + q + z*r + m*r**3 + c*r**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8763.654 weeks to microseconds.\nAnswer: 5300257939200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 3. Let n(j) = -5952*j**2 + 2000*j**2 + 1987*j**2 + 1986*j**2. Give n(a(g)).\nAnswer: 336*g**2 + 504*g + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 74*j - 9875 = 2785. Is j a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(32\/72)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 7}. Give prob of picking 3 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7444 by -3722.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2679 divide 137984574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22729 = 2012*t - 1995*t. Is t greater than -1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 356 and 6586.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11472.05ng?\nAnswer: 0.00001147205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c**2 - 3*c - 8. Let k(o) = 19*o**2 - 3*o - 6. What is 5*k(a) - 4*u(a)?\nAnswer: 23*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = x, x = q + 3*x + 7. Let p be (2 + 4)\/(-2) - q. Suppose p*r - 80 = 100. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17262, 17260, 17258?\n\"Answer: -2*p + 17264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 110*c**2 + 89*c + 49. Calculate b(54).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-6) + 3\/(-9). Is k\/(-3)*(-282)\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*q**5\/5 - 528*q**4\/5 + 36*q**3 - 16*q**2\/5.\nAnswer: q**2*(q - 4)*(11*q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfmmmffvmmmffmmmvm. Give prob of sequence fvv.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*l - 2*v, 2*v - 3*v - 143 = -4*l. Suppose -4*u - 4*o = -5*u - 20, -4*o + l = -3*u. Let k(t) = -t - 5. Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from otouottutt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**6*l**3 - 131*g**6*l + 1258*g**2*l**3 + 6*g*l**3 wrt g?\nAnswer: -960*g**3*l**3 - 15720*g**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 22*j + 3. Let a be n(-12). Let z = 123 + a. Solve h = g, -h + z + 9 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-68)\/6)\/(310\/(-558) - (-8)\/18)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 11. Let f be 2 - ((-21)\/w - -1). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3227 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let v = 3 + r. Is v greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 373912 and 4?\nAnswer: 1495648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-40))\/((-2)\/10). Let u be (15\/(-4))\/(s\/(-4)). Solve -5*j + 5*x = u, 2 = 5*x - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6144, -12490, -18856, -25248, -31672, -38134, -44640?\n\"Answer: -c**3 - 4*c**2 - 6327*c + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v**3 + 81 - 81)*((0 + 2 - 1)*(0 + 1 + 1) + 2 - 5 + 1 + 0 - 3 + 1).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/9 + 248*f**2\/9 - 160*f\/3.\nAnswer: -4*f*(f - 60)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1303*h + 12. Let x be l(1). Let g = 1832 + x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 1 + s**2 + 5 - 4 to the form u*s + t*s**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (0 + 4) - (0 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -29.1. Put -2\/5, 4, l in ascending order.\nAnswer: -2\/5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (0 - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 145122.\nAnswer: -4, 5, 145122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-27))\/((-41)\/369)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - p = -16, -3*l + 0*p + 20 = 2*p. Suppose -l*q + 44 = -0*q. Let y = 22 - q. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2862610?\nAnswer: 2862610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.06930306.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67655 = 7*g - 237846. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.79 + -39. Let r = u - -0.01. Let x = r + 0.6. Sort x, 5, -2 in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/43? (a) -3\/2 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2044620918 to the nearest integer?\nAnswer: 45217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*6\/(18\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/43? (a) 3\/4 (b) 2\/21 (c) 4 (d) -9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l + 14. Let d be s(2). What is the third derivative of -2*k**4 + 3*k**2 - 5*k**d - 23*k**4 wrt k?\nAnswer: -720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:04 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10965860171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86145.15ms to seconds.\nAnswer: 86.14515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/(-3))\/((41070\/296)\/15)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-18)\/804 + 0)*582.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 827114 and 644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.38 + 195.68. Let v = 182 - b. What is v rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 7*a = 77. Let d = a + 412. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*t + 199, 69*c + 262 = -4*t - 4093 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 41b63a?\nAnswer: -41b636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 3*j**4\/2 + 5*j**3\/2 + 2*j**2 - 7*j. Is k(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*i = -57*i + 395 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2, -321.14, 0, 5\/2 in increasing order.\nAnswer: -321.14, 0, 3\/2, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/478 and -18\/5?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(105\/(-549)))\/(8\/10). Let p = o - -46. Let t = 0.1 + 0.3. What is the closest to 0.1 in t, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 11. Suppose -15 = -5*n, q + 2*q - u*n = 6717. Find the third derivative of -23*b**2 - 2244 + q + 5*b**3 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 20. Let j be t(-9). Suppose 4*z - 32 = 2*w, 2*z + j*w + 4 = -2*w. Find the common denominator of -22\/9 and 25\/z + (-1)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -2856, -4280, -5704, -7128?\nAnswer: -8552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-36)*-6*((-231)\/(-7))\/11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256232 < 11306095\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*(-16)\/(-3880)*(-18 - -9 - -10).\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 2*v - 20 - 25 in the form o*v + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5145, 39649, 132867, 314157, 612877?\n\"Answer: 4893*u**3 - u**2 + 256*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3948*f = -3940*f + 7893*f + 3*s + 35, 19 = 4*f - 7*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 + (-6 - -7). Suppose b + o*j = 6 - 21, -5*j - 25 = 0. Let w = 4 + b. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2234*v - 355058. Give z(-149).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -440*b**4 - 304 + 622*b + 304 + 878*b + 45*b**4 wrt b.\nAnswer: -4740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -1\/15*w**6 - 16\/15*w**3 + 4\/25*w**5 + 1 + 1\/5*w**4 - 4\/5*w + 7\/5*w**2. Factor v(h).\nAnswer: -2*(h - 1)**4*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(1 + 3 + 0)*(3 + 10*d + 25*d - 23*d).\nAnswer: 96*d + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5)*-2 - sqrt(9)\/sqrt(3)*4)**2 + -5.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/46869 - -16596833\/15623. Which is greater: 1063 or b?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 25. Let p(t) = 2*t**2 + 7*t**2 - 14*t**j + 3*t**2. Let o(c) = -7*c**2 - 3*c. Let w(d) = -d. Let m(f) = -o(f) + 3*w(f). What is p(m(s))?\nAnswer: -98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. Let n = r - -5.9. Suppose 6*m = m. What is the third biggest value in m, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*a**3 + 7*a**3 - 35*a**3.\nAnswer: -32*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/151200 and -221\/166320?\nAnswer: 1663200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-12)*-18*16\/(-120). Let z = 3 + -7. Sort 4, 0, x, z in descending order.\nAnswer: 4, 0, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 2. Let u be i(2). Suppose 2*r + 70 = u*v, -26 = -2*v + 4*r + 18. Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 1092 = -1554. Solve -148*s = -162*s - g for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40979 = -503*d - 69*d - 16383 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-818)\/5530 - 120\/(-840). Is -1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.03 (c) 5 (d) 3 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 81\/4 of a meter?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 5*f - 7. Let u be y(-7). Let x be u\/7*(-1 - -2). What is the tens digit of x\/(-4)*-10*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 9*g - 3*c + 192, 4*g - 88 = c - 175 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10458 + 10461. Let p = 4 - -1. Let l be (-3)\/(-2)*(-8)\/(-12). Which is the closest to l? (a) p (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86785.2 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(475) + (sqrt(19) + sqrt(76))*-4)*-6)**2 - (0 + -4*(1 + -2 + sqrt(931))).\nAnswer: 28*sqrt(19) + 43772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d**0)\/((d**(-1)*d)\/d)**(-5\/17)*(d**(-1))**(-41)\/((d\/(d*d\/(d*d*d\/((d*d*d**5*d)\/d)*d)))\/(d*d**(-3\/8))) assuming d is positive.\nAnswer: d**(5621\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**5 - 2*h**3 + 3*h**2. Let x(m) = m**5 - 3*m**3 + 3*m**2. Let s = -3 + 0. Let j(r) = s*d(r) + 2*x(r). What is the third derivative of j(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/45 + 120\/(-360) + 10044\/135\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2\/2 - 1. Let w(t) be the third derivative of t**3\/3 - 137*t**2 - 2*t. Give j(g) + w(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8584, 17160, 25734, 34306, 42876?\nAnswer: 51444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 70*v**2 + 81*v + 10. Let s be x(-1). Determine c so that s*c + 0 - 8\/17*c**2 - 8\/17*c**3 - 2\/17*c**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12. Solve k = -2*x - 2*p - 18, -2*x - 3*p + 4*p - 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = 3*r - 87, -3*c + r = -103. Suppose -2*f + 5*q = -117, 4*q + 33 = 5*f - 251. What is the least common multiple of c and f?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 30. Let l = j + 154.6. Let n = -0.4 - l. Which is the closest to -2\/5? (a) -0.1 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108800 by 3200.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 6*h - 1. Determine m(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Let p be (48\/(-18))\/((-4)\/6). Let f be (p\/(-10))\/(3\/(-90)). Let y = f + -7. Give o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -91\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:35 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 23 + 19 - 2 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3618845 is divided by 723714?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*y - 282, 3*l - 409 = 16*y - 12*y. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -706*x**3 - x**2 + 19*x - 49. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + -0.02. Which is the closest to i? (a) 0.4 (b) 2\/15 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgt when three letters picked without replacement from gbtki?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*(-2)\/15. Let u = -3492\/7 - -498. Sort -2, r, u in descending order.\nAnswer: r, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 83, 93, 81, 41, -33?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*j**3 - 2*j**2 - 349 + 2*j**2 - 240*j**3 + 0*j**2 wrt j?\nAnswer: -756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 2, b: 10}. What is prob of picking 1 t and 2 b?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 9*g**2 - 6*g + 15. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/4 + 3587*z**2\/4 - 21549*z\/4 + 32337\/4 = 0.\nAnswer: -3593, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7596\/7 + -1092. Find the common denominator of -5 + ((-13414)\/(-931) - (9 + 0)) and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) + -1*sqrt(121) + sqrt(121) - sqrt(121))*3 + sqrt(121) - sqrt(121)) + sqrt(121) - sqrt(121)*1*-5)\/(4*sqrt(11)*-2*-1).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 201.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2447, 4897, 7357, 9833, 12331?\nAnswer: 14857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83714709 is divided by 357.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3887*k + 3888*k - 70 = 0, 3*k - 186 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12813675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -19) + (0 - 0) - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2. Let b = 1 + -2. Let r be 2 + ((-2)\/b)\/2. Let m(o) = -r - 12*o + 9*o + 3. Calculate k(m(a)).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.51 - 24.3. Let l = p + -0.21. Put l, -4\/3, -1\/3 in descending order.\nAnswer: l, -1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0 + sqrt(320) - sqrt(320))**2 + -4 - (-1*sqrt(320) + 3).\nAnswer: 8*sqrt(5) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**3)\/j*j**(-11))\/(j**(-4)*j\/j**(-15)) assuming j is positive.\nAnswer: j**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -153, -481, -1077, -2019, -3385?\nAnswer: -5253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1429323*q**3*y**5 - 7*q**3*y**2 + 6*q*y - 1970*y**2 wrt y?\nAnswer: -85759380*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(24) + (sqrt(96)\/(1*sqrt(4) + sqrt(4) + sqrt(4)) - sqrt(24)))\/(sqrt(24)\/(sqrt(3) - sqrt(27))).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 271\/(((-49)\/(-2))\/7). Let p = x + -78. Sort p, 0.5, -0.5.\nAnswer: p, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13772\/(-660) + 0 + -1 - (-4)\/(-30)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/27)*g**(3\/10))\/(g**21*g)**(-44) assuming g is positive.\nAnswer: g**(261421\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -15, -21, -41, -81, -147, -245?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -8. What is the tens digit of (1*-2)\/(u\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97016, -386554, -869118, -1544708, -2413324, -3474966?\nAnswer: -4729634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (26\/39)\/((-4)\/(10\/4 + -1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 10) to base 3\nAnswer: 110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 3*g + 18*g - 12*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 7. Let l be m(7). Suppose l*k = 2*k + 25. Suppose 3*r = 2*f + 2*r - 7, -3*f - 3*r = -24. Solve f*n = n + 16, n = -k*x + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*1*4*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 375 = -3*r. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -209, -420, -633, -848, -1065, -1284?\n\"Answer: -z**2 - 208*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 42*k + 59. Let x(a) = -a**2 - 63*a - 56. Let f(w) = 3*t(w) + 2*x(w). Determine f(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2. Let n = -13 + 131. Let a(c) = -n*c + 235*c - 114*c. Determine g(a(o)).\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**4 - 3*t**4 + 6*t**4)*(-154 + 7244 + 6999 + 6516 - 44) in the form l*t + s*t**3 + j + m*t**2 + d*t**4 and give d.\nAnswer: 20561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)**38\/(g**4*g\/g**(-2\/13)) assuming g is positive.\nAnswer: g**(-561\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37861757 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33532, 33530, 33528, 33526, 33524?\n\"Answer: -2*k + 33534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 16 = -d. Solve w + d = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 57. Solve -i = n, -4*i - n = -4*n - x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8004, 16048, 24092, 32136, 40180, 48224?\n\"Answer: 8044*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (168\/(-32))\/(5 - -1) and 59\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1628?\nAnswer: 7\/1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96.1121 and 0.2.\nAnswer: 19.22242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1215)*2 - -2*sqrt(1215)*-1)\/(1*-6*(sqrt(125) + sqrt(125)*2)).\nAnswer: 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 6*z**2 + z + 1. Let q be s(6). Suppose -5*k - 4*i = -8 - q, 3*k - 9 = 4*i. Solve 0 = d + 4*d + v + 24, -k*d + v - 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**2 + 6. Let y(k) = 26*k**2 + 17. Let u(s) = -17*p(s) + 6*y(s). Let w(h) = h. Determine w(u(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 1200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 252*r**3 + 924*r**2 + 2880*r.\nAnswer: 3*r*(r - 80)*(r - 6)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17314 - -17313.8. What is the closest to s in -18, 2\/5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 519 - 469. Let a = 586 - c. Is a a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 4*a**2 - a**3 + 12*a**2 - 12*a - 5*a**2 + 10. Suppose 102 = 3*n + 51. Calculate the remainder when n is divided by v(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80.17 - -0.17. Let a = 76.3 + v. Let t = a + 4.1. What is the third biggest value in t, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1952 - -1948. Sort -14, h, 5 in descending order.\nAnswer: 5, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/64)\/(6\/32). Suppose -q*s - 4*j = -5556, -10*j - 4142 = -3*s - 8*j. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:30 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 57*p**2 - 6*p + 2*p.\nAnswer: -57*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-28)*12*(-9)\/((-1323)\/35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:40 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121901 - 121913 + 3*g**2 - 14810*g + 14810*g.\nAnswer: 3*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000255 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514536.\nAnswer: 2, 19, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.15.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p + 17. Let d(c) = 45*c - 51. Let i(y) = 8*b(y) + 3*d(y). What is i(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - -1360465?\nAnswer: 1360523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/1260 + r**6\/540 - r**3\/2 + 3*r**2. Let c(b) be the first derivative of h(b). Factor c(t).\nAnswer: -2*t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s*y**3*z + s*y**2 + 275*s*y - 2*y**3 + 441*y**2*z - 7*y*z wrt y?\nAnswer: -36*s*y*z + 2*s - 12*y + 882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -564024 (base 7) to base 11\nAnswer: -69006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669\/4663 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.4 - -23.4. Let v(p) = -p**3 + p - 2. Let i be v(0). Which is the biggest value? (a) i (b) s (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2800 and 83\/48.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1220212111011?\nAnswer: 1220212111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 494796890 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -11972, -90?\nAnswer: -11972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2253, -2187, -2019, -1749, -1377, -903?\n\"Answer: 51*c**2 - 87*c - 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let h = -0.4 - -0.2. Let v = p - h. What is the biggest value in -2, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 81641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - o + 3*o. Let x(w) be the second derivative of -w**6\/180 + w**3\/3 - 2*w. Let y(j) be the second derivative of x(j). Determine y(a(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41307 and 651?\nAnswer: 1280517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 870044107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*u - 196*u - 2*j - 3, -22 = u + 7*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - 24*a - 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - (9\/(-4) - 2). Let j = -1 + 0.8. Which is the closest to 1? (a) j (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s**2 + 2. Calculate the remainder when g(-2) is divided by -11 - (28\/(-6) + 9416\/(-321)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -75.674. Let w = -0.874 - i. Let b = -0.04 - -2.04. What is the nearest to b in -4, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 4*j**2 + 0*j**2 + ((-16 + 16 - 6*j)*(-j + 4*j - 2*j) + 4*j**2 + 0*j**2 - 3*j**2)*(1 + 1 + 0) to the form o*j**2 + r*j + m and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 + 1802675*x**3 + 3817006*x**2 wrt x?\nAnswer: 48*x + 10816050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -5*n + 3*j, 5*n + 0*j = j + 477. Let x(a) = -1733*a - 8645. Calculate the remainder when n is divided by x(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11*h + 15*h = 28, -h - 5 = g. Let w = -17 + 11. Do g and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 30. What is i(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15103 (base 6) to base 14.\nAnswer: c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1949.899 and -0.3.\nAnswer: -584.9697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 + 3*u)*(-3 + 1 + 1)*(23 - 9 - 137)*(-3*u**3 + 2*u**3 - 3*u + u) as x + r*u**3 + h*u + d*u**4 + c*u**2 and give c.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88253, -88181, -87981, -87587, -86933?\nAnswer: -85953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100 (base 2) in base 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -402900*a + 37066801. Determine g(92).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13175 divided by 775.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96052 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (6 + 5)) + 1 + (-1 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x - 2. Let z(o) = o**2 - 3*o + 3. Let w be -9*2\/(-12)*2. Let i be z(w). Let h = 8 - i. Give l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -18. Which is greater: j or -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -127*r**9\/56 - r**7\/105 - r**5\/20 + 185*r**4\/24 + r**3\/3 - 7*r**2 - 340*r. What is the third derivative of x(a) wrt a?\nAnswer: -137160*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 2*r + 6. Let j be 176\/(-10) + (-3)\/(-5). Let w = j - -17. What is the units digit of i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 685, 1751, 3461, 6025, 9653, 14555?\nAnswer: 20941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060 = 17*j - 16263. Let k = -96 + j. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:23 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39264 from -85180625.\nAnswer: -85141361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y*y*y\/(y\/(y**17\/y))*y*y)\/y*y)\/y*y*y*y*y\/(y\/(y*y\/(y**(-10)*y)))*y*y*y assuming y is positive.\nAnswer: y**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2008*o + 352 = -1656*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01093 * -7243\nAnswer: -79.16599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*((sqrt(152)*-1*-4)\/(sqrt(200)*-5))**2 + 3.\nAnswer: 51\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -98709077 divided by 23\nAnswer: -4291699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 182362950, 364725900, 547088850, 729451800, 911814750?\n\"Answer: 182362950*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3 + 3*r**2 - r**3 + 1 - 2*r - 5*r**2. Let f(m) = 4*m**3 + 11*m**2 + 11*m + 11. Let o(l) = -126*l - 1006. Let c be o(-8). Determine c*f(d) + 11*g(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 973, 2, 20 in ascending order.\nAnswer: 2, 20, 973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5 + (0 + 0 + 1)*(4 - 2 + 0) + 0 - 2 + 0 - 3 + 3 + 2 - 2 + 3 + 0 + (1 - 4 + 5)*(-5 + 1 + 3) + 2 - 3 - 3)*(-5*f - 4*f + 2*f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - 2*r**3 + 4*r**3 - 24*r**3.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 4*l - 2. Suppose n + 2*d + 10 = 26, -14 = -5*n + d. Let y(p) = p**2 - p - 1. Suppose 0 = x + 1. Calculate n*y(a) + x*h(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21 = f, 3*j - 4*f + 135 - 108 = 0. Solve -5*p = 5*r - 0*r - 35, -j*r = -2*p - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 9*b**2 - 74*b + 733. What is the thousands digit of l(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 381.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j - 11. Let y be c(-6). Let x = y - 15. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -108) + (197 - 284)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 28. Suppose v*z - 555 = -9*z. What is the greatest common factor of z and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o**2 - 7*o + 39. Let t be d(-15). Let s = 5213 - t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011010 (base 2) in base 4?\nAnswer: 112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151695697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 375914?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 18*c**2 - 2*c - 39. Let t be u(-18). Let l be 0\/((38\/19)\/((-2)\/t)). Is l < 10\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/480 and 13\/8?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-8) - -2 - -140*144\/(-40320)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486149067.\nAnswer: 13, 37, 71, 43517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61317243 and 42450399?\nAnswer: 551855187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(((-810540)\/(-1311))\/79 + -8)?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = 19*d + 41*d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 361943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 + 49*c**2 - 20*c + 10. Let d be k(-8). What is the highest common divisor of 1898 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32543.\nAnswer: 7, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21*-109844\nAnswer: -2306724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 105*c - 100.\nAnswer: -5*(c - 20)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2364218, 18913712, 63833764, 151309652, 295526654, 510670048?\nAnswer: 810925112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*z + 16. Let u(y) = -y**3 - 4*y**2 + 4*y - 2. Give u(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -4. Let z = x + -0.4. Put z, 3\/2, 1\/2 in descending order.\nAnswer: 3\/2, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (8 - 7) + (2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = w + 1. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 683565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0206642 + 1271822.\nAnswer: 1271821.9793358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369984856?\nAnswer: 2, 5297, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*p**4 - 2 + 0*p**3 + p - 45*p**4 + p**3 as f*p**4 + b*p**3 + r + x*p**2 + o*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.077400620451813+-7\nAnswer: -7.077400620451813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/12)\/(2\/3)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 861 - 895.66. What is t rounded to zero decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(0*o - 5*o + 3*o) - o - 2*o - 2*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 638 - 571. Which is the third biggest value? (a) 8 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/13, 0.5, 11585, -2\/11, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11383*v = -11372*v + 55. Suppose 2*n = -2*z - 10, -n = z - 3*n - 10. Sort -1, v, 4, z in decreasing order.\nAnswer: 4, z, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:02 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -40020.4525 to the nearest 10.\nAnswer: -40020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.81578 millilitres in litres?\nAnswer: 0.01981578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3534, 7068, 10602, 14136, 17670, 21204?\nAnswer: 24738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8708 + 20792211.\nAnswer: 20800919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1811709 * 20\nAnswer: -36234180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*l**2 + 71*l**2 - 18*l**3 + 26*l**2 + 31*l**2.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49566446 to the nearest integer?\nAnswer: 7040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -10\/7 (b) 2\/13 (c) 3\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + y**2 - 2*y**2. Let f(w) be the third derivative of -w**7\/2520 + w**5\/20 + w**2. Let g(t) be the third derivative of f(t). What is c(g(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q - 802 + 125 = 23 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000020110222 (base 3) in base 15?\nAnswer: 1614db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 222 = p, b - 74 = -4*p. Let v = b + -51. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3392183566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3, 17\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 35*z**2 - 13. What is i(35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u**2 - u**3 + 0*u**2 - 4*u + 1 - 5*u**2. Let l be x(-4). Suppose n - 1 - l = 0. Solve 3*t + 1 = -n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2314818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 - 2) - -6 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 13, 0.1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 52410*w.\nAnswer: -5*w*(w + 10482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4\/9, -2, 1, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 + -2)\/(70\/(-20) + 245\/98)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 + s - 5. Let j be l(-5). Let n be 2\/(-4) + (-45)\/j. Solve 14 = n*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3)\/((-18)\/(-8)). Let l = 22 - 15. Let h = l + x. Sort h, -1, -4 in ascending order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 10*j - 58. Calculate the remainder when 0\/(-1 - 2) + 80 is divided by r(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 300957*f - 2708532.\nAnswer: -(f - 300948)*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w**2 + 300*w + 1392. Calculate p(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -156*u - 17. Is z(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*z + 20 = -22, 0 = 2*z - 4. Solve 4*o + 2*n = h, -o - o + 2*n = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*z = 6*b - 31, 2*b + 4 = -2*z. Suppose b*n + 6 = 6*n. Solve n = -y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*2)\/(sqrt(14)\/(sqrt(2)*-4 + sqrt(2))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 17.099953245?\nAnswer: 17.599953245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1067385376 and 3.\nAnswer: -3202156128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 4. Let u be 4\/y*(-65)\/(-4). Suppose -3*i + u = 5*n, 4*i - 3 = -3*n + 47. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -930?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(7\/6)\/s*s)*s))\/s*s*s**(-13)*s*(s**(3\/5))**(-44) assuming s is positive.\nAnswer: s**(-1147\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.9 + -16. What is the smallest value in s, 5, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 33. Suppose 0*g = -5*o + 2*g + x, o - 16 = 4*g. Calculate the remainder when 23 is divided by (-18)\/o*4\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - -2)\/(177\/378603)?\nAnswer: 3, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/664706361 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126818736 by 21136456.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 6. Let a(b) = 2*b - 3. Calculate 11*a(t) - 6*w(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3645 - -113. Let t = g + -30005\/8. Calculate the common denominator of t and (-45)\/14 - (-3)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-35))\/((-1)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 214 + 9*q**2 - 6*q + 194 - 413 as z + s*q**2 + l*q and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-695)\/9 - -1 - (-373)\/(70497\/42)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 991350 and 198270?\nAnswer: 991350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36002300 rounded to the nearest 100000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from {b: 5, r: 1, m: 1, h: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.57 - -0.65. Let u = g + 6.92. Let n = 10 + -13. Sort 2\/11, -8, n, u in increasing order.\nAnswer: -8, n, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409b6 (base 13) in base 15?\nAnswer: 24529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**6\/1440 - u**5\/240 + 2*u**3\/3 + 10*u. Let p(j) be the second derivative of s(j). Find q, given that p(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -164, -324, -548?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -2*l + 2*d - 4, 0 = -4*l - 2*d + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*g**4*o**3 - 23329*g**4*o**2 + 6*g**2*o**3 + 19*g**2*o + 251*g*o**2 - g + 2*o**2 wrt g?\nAnswer: 1152*g*o**3 - 559896*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 11 + 11 = 0. Let o = 2 - 1. Let n(i) = 4*i. Let d be n(o). Solve j - p + k = 3, 0 = d*j + 3*p - 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*c + 46*c + 600 = -56*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-17)*((-21)\/9 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-seven fifths of a millennium?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3 - 191*f - 1 - 9*f**5 + 48*f**2 + 30*f**3 + 210*f. Let u(n) = 8*n**5 - 30*n**3 - 46*n**2 - 18*n + 3. Let l(r) = 3*i(r) + 4*u(r). Factor l(d).\nAnswer: 5*d*(d - 3)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784335 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*k + 683*t - 685*t, -14 = 6*k + 4*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 483, 482?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 85\/((-8)\/(-6)*(-2235)\/596)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.6, -119, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91717239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2.2 (b) 1.9 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 2*s**2 + 2*s**2 - 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169980746 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -8\/9*s**3 - 2*s + 13\/6*s**2 - 55 + 1\/12*s**4. Factor m(g).\nAnswer: (g - 6)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*1\/35*7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3999*o + 3948*o = -255 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Suppose 4*k - y - y - 6 = a, y + 2 = 3*k. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/4)*d)**(-1\/4)\/((d*(d*d**(-3))\/d)\/d)**(-1\/27))**(-1\/6) assuming d is positive.\nAnswer: d**(79\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-28) - 966654\/(-8). Suppose 2*c + 819168 = -g. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 4:54 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:00 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4256, -4261, -4268, -4277, -4288, -4301?\n\"Answer: -f**2 - 2*f - 4253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -61 * 425\nAnswer: -25925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14484 - 0.144850222. What is r rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9427 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-2 - (25 - 54) - -36).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -93. What is the smallest value in 1\/4, -2\/13, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11532 divided by -3?\nAnswer: 3844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*t - 29 = 0, 3*t + 22 = 2*x + 3. Suppose 0 = -5*k - 0*c + x*c + 25, 5*c = k + 15. Suppose -7*v + 2*v = -k. Solve 0 = f + v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-16\/5)*j*j*(j\/((j*j*j**(-12))\/j*j))\/j assuming j is positive.\nAnswer: j**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-40))\/((-680)\/(-1088)*6\/(-355)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1411073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2297 + 3924. List the prime factors of n.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p - 52*p - 3312 = -9*p + 60*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -3\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1934 + 1932 - 163*l + 3*l**2 + 163*l.\nAnswer: 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -276 + -2245?\nAnswer: -2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**6\/72 - x**5\/24 + 5*x**4\/4 + 10*x**3\/3 + 6. Let j(n) be the third derivative of y(n). What is g in j(g) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695892700 rounded to the nearest one million?\nAnswer: -696000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5\/3 - 211415*y**4\/3 - 634340*y**3 - 5074960*y**2\/3 - 3383360*y\/3 = 0.\nAnswer: -4, -1, 0, 42292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 + -5261.3.\nAnswer: -5261.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3796?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/60352 and 7\/400.\nAnswer: 1508800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.355?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*w - 4*o, -4*w = o - 9 + 28. Let b(m) = -m**2 - 8*m - 7. What is b(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 5)*(-4*h + h + 6*h) to the form c + m*h and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*a + 201, -4*a = -3*a + 1. Suppose 0 = 2*t - 4*q - 46, 0*q = 5*q + 25. Let f = -7 + t. Calculate the highest common divisor of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-37)*d\/(d*d*d**(-14)*d*d))**40 assuming d is positive.\nAnswer: d**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 582181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + sqrt(11) + 1 + 3) + -5 + -3)**2*-4*-3.\nAnswer: 6720*sqrt(11) + 22608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.0214 decades to millennia.\nAnswer: 0.510214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*k**2)*(-3*k + 3*k + k**2) + 3 + 3*k**4 - 5*k**4 - 2 + 15*k**4 - 10*k**4 + 3*k**4.\nAnswer: 10*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-330)\/2*(-5)\/15. Suppose 4*g - 3*p = 65, -5*g - p - 4*p + q = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 158?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-10))\/(-1) + (-38272)\/(-1495). What is the closest to -1\/2 in 1\/2, 4, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171237528 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:26 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b - 16\/3 - 2\/3*b**2.\nAnswer: -2*(b + 1)*(b + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:09 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*z**2 + 472*z**2 + 12*z - 24*z.\nAnswer: z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let f be z(2). Let a be (-2)\/f + 30\/4. Let v = 2 - a. Let k(x) = -2*x - 3. Give k(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3788*y**3 + 8*y**2 - 16*y + 16. Let f(k) = 3787*k**3 - 9*k**2 + 18*k - 18. Give -8*f(s) - 9*v(s).\nAnswer: 3796*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9 and -0.092024332947.\nAnswer: 0.807975667053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {x: 4, q: 6, t: 5, f: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Suppose 3*h - 29 = g. What is the remainder when 37 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173.3 + 8.3. Let t = p + 165.000118. What is t rounded to 6 dps?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let f = 365 + -1826\/5. Which is the nearest to f? (a) -2\/3 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-3)\/n*n*n*n**(-1\/8))\/(n**(1\/3)*n*n**3)*n**(1\/6)\/(n**(-2\/3)*n*n)*((n*n**(-1\/3))\/n)**(-2\/115) assuming n is positive.\nAnswer: n**(-15509\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-8) - -5)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 690*z - 2668. Let c(q) = -22*q + 85. Let f(w) = -94*c(w) - 3*p(w). Let v be (3\/(-4))\/((-2)\/40). Give f(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485813.7 months in years?\nAnswer: 40484.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*t + 28. Calculate the remainder when 38 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84 - 54057\/(-333))\/10\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-1)*3\/(-7). Let b = -1 + 5. Let a be (-3270)\/b*(-5 + 95\/i). Round a to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 - 125*h**2 + 5*h + 125 = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 228467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:53 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 71392752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 558*d**2 - 1. Let r = 29 - 28. Is u(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -18) + (1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.331, 0.2, -2\/7, -0.04, -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249\/1430 + 1\/130. Let w = 0.14 + -0.24. Let r = 0 + 1. Which is the closest to w? (a) r (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -d - d. Suppose 3*h + 8 - 2 = 0. Let x be (h\/(-5))\/(2\/450). Calculate the highest common factor of x and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.8 or 1576?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.019699 to three decimal places.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628116 is divided by 909?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -739082.04 times -4\nAnswer: 2956328.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/28, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 2. Let k be y(-2). Suppose -k*u = -u + 24. Let h be (-6)\/u*4\/42. Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -122. Let s = 120 + -109. Sort s, z, -3, 2 in decreasing order.\nAnswer: s, 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71.5 and 1066?\nAnswer: 1137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*i**2 - 503729*i**3 + 125 + 503692*i**3 + 4*i + i wrt i?\nAnswer: -222*i - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**3 + d**2)*(-2154*d - 3*d**2 + 2 + 2124*d - 4*d**2).\nAnswer: -14*d**5 - 60*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/30)\/((-330)\/(-275))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 1\/7, -149, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 25 - 59 - -15) + -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -776 + 810. What is the remainder when 113 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73530448 is divided by 350?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -395\/6 - -131\/2. Let u = 0.08 - 0.12. Let x = -0.26 + u. Sort -2\/13, x, b in increasing order.\nAnswer: b, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/66038 and -77\/1084910?\nAnswer: 7594370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3791139 is divided by 582.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 + 9*y - 9. Let x be ((-81)\/6)\/((-9)\/(-12)). Let b(n) = n - 1. Let u(d) = x*b(d) + 2*f(d). Let t(i) = -2*i. What is t(u(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253728?\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 24405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - q)*(-29 + 1 + 92)*(0 + 4 - 5)*(-3 - 4 + 5).\nAnswer: -256*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3. Let g be -3*2\/10*5. Determine u(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4) - 2)\/((-45)\/60). Suppose -y*w + 4*w = 2*p + 2, w = 5*p - 11. Let x(q) = -4*q**p - 5*q + 3*q**3 - 2*q**2 + 4 - 7 + 2*q. Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -14*b - 32. Let u(y) = 5*y + 11. Let s(z) = -4*t(z) - 11*u(z). Let i be s(14). Suppose 2*r - 225 - i = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*v - 19, -v = -4*v - 15. Let r = -1 - i. Solve r = 3*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(4)) + sqrt(4))\/sqrt(2))**2 + sqrt(2) + sqrt(2)*-1*6.\nAnswer: -5*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53947549 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 43*s - 93. Calculate the remainder when 9 is divided by t(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h**2 - 2. Let a(i) = 119*i**2 + i - 10. Calculate 2*a(m) - 11*r(m).\nAnswer: -26*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -645 at most -643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 65 + -28 + -19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - u + 2 = u, -3*r + 4*u + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/884, 1\/3, -0.3, 2\/3, 38, 3\/2, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -4, -0.3, 2, -191?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10026 and 2785.\nAnswer: 50130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 15. Suppose 3*p = -0*p - r + 18, -v = -2*p - 2*r. What is the greatest common divisor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121344241 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 122e?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -28*r**2. Let w(j) = 63*j - 756. Let k be w(12). Let z(m) be the second derivative of 17*m + k + 1\/3*m**3 + 0*m**2. What is z(l(y))?\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -202202122010 (base 3) in base 10?\nAnswer: -408702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmcddddvmdmddd. Give prob of picking 2 c, 1 v, and 1 d.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let w = -8 - -5. Sort y, w, -4 in decreasing order.\nAnswer: y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 2964*c + 2 + 3*c**2 - 3*c**2 - 3039*c + 2*c**2 + 15*c**4 to the form u + j*c**4 + n*c**3 + y*c**2 + m*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*x + 79, -2*s - 5*x = 3*s - 210. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/24 - 17*f**3\/6 + 54*f**2 + f. Let k be x(-27). Solve 20 = b + 5*a - k, -3*a - 10 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 747 divided by 2\nAnswer: 747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0 - 11*l**2 + 1\/56*l**6 - 1\/14*l**4 + 0*l - 3\/70*l**5 - 1\/490*l**7 + 4\/7*l**3. Factor s(i).\nAnswer: -3*(i - 2)**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, -0.2, -0.3, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 16*r**2 - 15*r + 31. Let h be o(-15). Which is the nearest to h? (a) -0.5 (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o + 105. Let c be a(10). Suppose 0 = c*p - 104793 + 25498. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328289\/4 or -332072?\nAnswer: -1328289\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12032 + -5496. Calculate the remainder when m is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 28*m + 32. Let j be s(26). Sort -2, 2, j in descending order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-3696)*-84)\/((-38)\/8)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/5 - 162*g**4\/5 - 2858*g**3\/5 - 15774*g**2\/5 - 3604*g + 36816\/5 = 0. What is g?\nAnswer: -59, -13, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10704, -42815, -96320, -171213, -267488?\n\"Answer: q**3 - 10703*q**2 - 9*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/9)\/(g*g**9\/g))\/(g**(4\/9)*g*g**(2\/7)\/g*g) assuming g is positive.\nAnswer: g**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.250004404 - 38.25. Round r to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:02 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.7 - 44.7. Suppose 5*r = r - 3*s + 22, 0 = -4*r - 5*s + 18. Suppose -2*l = -1 - r. Which is the second smallest value? (a) 0.2 (b) q (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f, 0*o + 5*f = -3*o + 3675. Let q = o + -725. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6374*j + 19*z = 6373*j - 95, 5*z = -j - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.88. Let l = -2.975 + 3. Let d = l - b. Round d to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 32\/3*s + 2\/3*s**2 - 160\/3 = 0?\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*18 - (-17173 + 128) is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 1\/336*n**8 + 0*n**5 + 3*n**2 + 0*n**4 + 1\/60*n**6 + 3*n + 0*n**3 + 0 - 1\/70*n**7. What is d in f(d) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1301 + 2497. List the prime factors of z.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-17128)\/(-16). Let a = 1788 + -14347\/8. Calculate the common denominator of (-8)\/(-6) + y\/(-216) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.087818 + 0.156897. What is s rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 872 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*w - 4*x, 0 = -5*w + x - 21 + 44 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 13*j**2 - 52*j + 220. Let l be z(10). Solve l = 2*q + 5*v + 19, 1 = -6*q + q + 3*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 0*m - 2*m + (-392 + 392 + 10*m)*(-3 + 4 - 2) + m + m + m)*(m**2 + m**2 - m**2) as a + o*m**3 + i*m**2 + q*m and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4774 and 17732?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23203 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*g + 2*o - 140 = -118, -5*g = 4*o - 44 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 410?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 5. Let n be o(6). Let q be -51*3\/9*-1. Suppose 2*v - 119 = q. Calculate the highest common factor of n and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 32*k - 189 = 26 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - k - 2 - 2 = 0, 3*x + 20 = -5*k. Let z be (1 - 2) + x + 57. What is the highest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 5 = -w + 4*f, -w + 5*f = -19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 2*g - 5. Let w be 1\/(-3) - (-14)\/6. Suppose 6*r - 20 = w*r. Let q be c(r). Solve 0 = q*o - 11 - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898102920 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 2*j + 1. Let q = -5714 + 5712. Let v(m) = m**2 - 3*m - 1. Determine q*v(k) - 3*r(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -179976.7582 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (9 - (((-114)\/95)\/((-3)\/10) + -12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1063*n**3 - 2*n**2 - 46*n + 16 - 16 + 1090*n**3 to the form g*n + z + m*n**3 + q*n**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -28, -42, -52, -58?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.31334 days in milliseconds?\nAnswer: 8235072576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 5, 0.16, 177, -5, 0.6?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*f**6 - 2*f**5 + 4401*f**2 wrt f.\nAnswer: -6120*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 209\/5. Put -2, 0.1, -1, z in decreasing order.\nAnswer: z, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6511045 (base 7) to base 12.\nAnswer: -3228aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44551443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3. Suppose 64*o + 1820 = 68*o. Let l(y) = 455*y - o*y + 6*y**3. Give -3*l(f) - 16*n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110853.\nAnswer: 4110853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7087 or -1?\nAnswer: -3\/7087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 32 + 24 = 56. Solve l = -40*k + 18*k + 132 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 400?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79804507562491 and -0.3.\nAnswer: 79804507562490.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 35267 = -2*m, 298*h - 294*h = -2*m + 28212. List the prime factors of h.\nAnswer: 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/7)\/(((-570)\/266)\/(-15))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -52934*w. Let x(y) = 145*y. Give 6*t(n) + 2189*x(n).\nAnswer: -199*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w\/w**(-1\/5)))\/w)\/w**(-6))\/((w\/(w*w\/(w**6*w)*w))\/(w**(2\/13)\/w*w)))\/((w\/w**(3\/4)*w*w\/w**(1\/3))\/(w*w**(2\/3)\/w)**(2\/9)) assuming w is positive.\nAnswer: w**(-19759\/7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100011100000110110 (base 2) to base 15.\nAnswer: 2e4729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w, -3*t + 4*w + 25 = 2*t. Solve 18 = 5*n + h - 0*h, 0 = -2*n + t*h + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1 + t**2 + 1. Let z(k) = 6*k. Let g(f) = 7*f. Let a(c) = -3*g(c) + 4*z(c). Give q(a(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -729, 67, 2269, 6345, 12763?\nAnswer: 21991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from {l: 6, n: 4, o: 4, j: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40\/7 - 6. Suppose 4*k = -k - 35. Let d be ((-2)\/k)\/(60\/35). Is a at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + x + 112 = 0, -6*q + 41 = -5*q + 3*x. Suppose m - q - 48 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 25. Suppose -w + d - 2 = -5*o, 4*w = 3*o + 3. Let l(g) = 2*g**2 + g - 4. Give l(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -6*h**2 - 75*h - 301. Calculate the remainder when 733 is divided by u(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(0 + sqrt(931) + sqrt(931)) - 3*(sqrt(931) + -2))**2.\nAnswer: -84*sqrt(19) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/12 + 5*m**3\/6 - 7*m**2\/2 - 3*m. Let c be z(-6). Is -1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 48 = -7*y. Suppose 2*x = -2*m + y, -15 + 5 = 3*x - 4*m. Suppose x*t + r - 1243 = -2*r, 5*r = -4*t + 2489. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*b + 25, 5*b - 30 = -2*k - 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**3 - 5. Let i(y) = -y**3 + y. Let h(z) = -5*z**3 + 4*z + 1. Let b(u) = h(u) - 4*i(u). Give -22*b(g) - 4*o(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let g be u(-1). Let h = 5 - 2. Suppose m + 0*i + h*i = 35, 40 = 3*m - 4*i. Solve 0 = g*t + 2*l - 10, -2*t - 4*l + m = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g**2\/11 + 5380414*g\/11 + 15543268\/11 = 0 for g.\nAnswer: -298909, -26\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1539 = -2*i, 2*n = -3*i + n + 2283. Suppose o = 3*o + i. Let p = 684 + o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -127339*w**2 + 63665*w**2 - 3*w - 4 + 63673*w**2 - 2*w**3. Calculate a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p = 100*p - 594 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/4 - 13*j**3 + 9*j**2 + 7560*j - 86400 = 0. What is j?\nAnswer: -24, 16, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5461 + 64*w + 166*w + 5512. Is p(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 621 + -626. What is the second biggest value in q, 1\/6, -11, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 255 = j + 195, -r - 220 = -2*j. Let s(w) = -6*w**2 - 11*w - 8. Let n be s(-7). Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**38)**(-1\/78)\/((((p*p\/(p*p**4))\/p)\/p**(-1))\/p**(-16\/7)) assuming p is positive.\nAnswer: p**(62\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 56*z - 264 = 28*z + 5*j, 6*j = 2*z - 312 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.55 - 13.29. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 3, -3.\nAnswer: -11, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 49. Solve -d + 3*n - 4*n - 8 = 0, 2*n = 4*d + j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (2 - -1))\/4. Let k(j) be the first derivative of -j**5 - 5\/2*j**2 + 0*j + 1 + 0*j**4 + n*j**3. Find the second derivative of k(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -5)\/(1 + -3). What is the remainder when (28\/(-6) - q)*-6 is divided by 3*(8 + -3) - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 35*r - 9. Let h be y(-9). Which is greater: h or 1\/808?\nAnswer: 1\/808","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -5, 9, 27, 49, 75, 105?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 91*t**3 - 20*t**2 + 96*t - 78. Is 32 a factor of w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 2*u - 36. Let w be t(-4). Put 25, 2, -5, w in ascending order.\nAnswer: -5, 2, w, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34219 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635483.000018 - -635493. Let n = r - 10. What is n rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbkwikwkdwikii. What is prob of picking 1 d and 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 14 + 5 + 17558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -20. Solve 25*j**2 - 24*j**2 + 9*j**4 - m*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011111100000010 (base 2) in base 8?\nAnswer: 2037402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 114 - 228 - 21*c + 114 in the form w + j*c and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54433a (base 12) to base 6\nAnswer: -44334114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -30*h - 67 - 228, 0 = -13*h - 4*m - 134 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 48. Suppose -2 = 3*h - 8, 0 = 4*n - 2*h - 44. Calculate the smallest common multiple of n and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqqqqqqqqqqqqmqqq. Give prob of sequence qmm.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*i**2 + 7605*i - 7605*i - 242*i**2.\nAnswer: -611*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 3918*a**2 + 9508*a + 4216. Find the first derivative of q(f) wrt f.\nAnswer: 7836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - ((14 - 7) + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3471562 is divided by 3182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-28)*((-4)\/8)\/(51\/(-680))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 23*r + 453, 20*h + 3*r = 24*h - 1545. Calculate the smallest common multiple of 640 and h.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889111 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -24, -58, -116, -204, -328, -494, -708?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/480 - (-4)\/(-12). Which is the closest to -8? (a) 0.5 (b) -0.03 (c) -2\/15 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/104368 and -91\/104368.\nAnswer: 104368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*((p*p**8)\/p)\/p*p*p\/(p*p**(-6)*p))**39*((p*p\/p**1)\/p)**(1\/45)*(p\/(p**(-5\/4)\/p)*p)\/(p**(-5\/6)\/p) assuming p is positive.\nAnswer: p**(7093\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -226 - 139. Let n = z - -107. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let f(b) = -13*b - 11. Let w(i) = 2*i + 1. Let v(z) = -f(z) - 6*w(z). What is a(v(o))?\nAnswer: -4*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -5\/6*w**4 - 5\/336*w**8 + 0*w**5 + 0 + 5\/24*w**6 + 0*w**3 + 0*w - 10*w**2 + 0*w**7. Find q such that i(q) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -64. Suppose -d = t*d - 30. Solve -d*v + 3*v = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95\/4 + 16\/64. Suppose 6*k - w = 4*k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6372698 or 6372706?\nAnswer: 6372698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98\/6 + (-4)\/(-6). Suppose 7*b - 150 = -171. Sort 0, 3, b, j.\nAnswer: b, 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2305 - 883 = 158*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/sqrt(4) + 3 + sqrt(98) + sqrt(2).\nAnswer: 3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157390 rounded to the nearest 1000?\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2000)\/(-15))\/((-10)\/(-135) + 0). Suppose 16*i = 36*i + n. Sort 0, 5, i in ascending order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44889741 take away 1.26555?\nAnswer: 44889739.73445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + c - 300004 = -0*g, -20 = -5*c. What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - m**2 - 20526*m + 20526*m + 838 + 0*m**2.\nAnswer: -2*m**2 + 838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 448660233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 + 16 = 0. Suppose 6 + 3 = -3*a - 5*w, w - 3 = -3*a. Let q be a\/6 - 6\/18. Solve -f*m + 3*m + 6 = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -19a0?\nAnswer: 199a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*i = 8 + 1, 5*j + 64*i - 68*i - 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/48 and 109\/359910.\nAnswer: 2879280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*f - 6, -2*w - 1850 + 1854 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*a - 12, 8*n - 12*n = 2*a + 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138165553.73 - -99?\nAnswer: -138165454.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/43 (b) -10 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:27 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35\/4, -1, 43?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 1. Let d be g(2). Let h be (9\/(-3) - -4) + 11. Suppose -4*i + 15 = w + 6, h = -3*i. Calculate the greatest common factor of w and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9451079, -9451080, -9451081, -9451082, -9451083, -9451084?\nAnswer: -9451085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 880 - 879.9471. Round m to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*c + 78. Let d = c - 40. Let v be 5\/(-12)*d\/5. What is the nearest to 0.3 in v, -3, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24322.\nAnswer: 2, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 3*k, -10 = 5*k. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 66*n**2 + n - 1. Suppose 2*r = v - 0*v + 10, 0 = 3*r + 3*v + 3. What are the prime factors of z(r)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/13, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa03c (base 14) to base 13.\nAnswer: -1154a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 933904 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650, 2604, 5864, 10430, 16302, 23480?\nAnswer: 31964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r**2)*(5*r - 4*r + r) + (1 - 1 - 2*r)*(-33*r + 6*r**2 + 33*r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -84*y + 94*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l**5 + 459*l**4 + 4092*l**3 - 31061*l**2 - 69300*l - 22500 = 0. What is l?\nAnswer: -25, -3\/2, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(441)\/sqrt(28) + -2 - -5*3*sqrt(252)).\nAnswer: -549*sqrt(7)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602882188 to the nearest integer?\nAnswer: 24554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/14*234\/(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268205352 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**4\/24 + 2*i**3\/3 + i**2. Let f = 3 - 3. Suppose -3*d + 16 + 2 = f. Let n(a) = -a - 1. What is d*n(q) + j(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.084703? (a) -2\/5 (b) -31\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2792 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46201*j**2 - 23096*j**2 - 16*j**3 - 23105*j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 3*n. Suppose 259*w = 587 + 708. Solve -n*i = w*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r**2 - r - 3. Let u be n(3). Suppose -11*f = -7*f - v - 4603, u*v - 1154 = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9 - -13) + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720533991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1621632 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/8*(-15)\/40*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 8*w**2 + 8*w + 2. Let m(y) = 5*y - 13. Let g be m(4). Give a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 5, 49, -2 in descending order.\nAnswer: 91, 49, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1630 and 56?\nAnswer: 45640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32506 times 165?\nAnswer: -5363490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.71 + 0.09. What is o rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15558 - 4?\nAnswer: 15554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -54. Suppose 5*q - k*m = -0*m + 4, -5 = 5*q - 5*m. Solve 5*h + q*l = -5, 7*h + 5 = 2*h + 4*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.015 (b) -2\/15 (c) -3\/466 (d) -2\/13 (e) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/43)\/(g*g**14\/g)*(g**(-9)\/g)\/g**(-1\/23) assuming g is positive.\nAnswer: g**(-23647\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 3*u + z, 72*u - 59 = 71*u + z. What is the greatest common factor of u and 29951?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -45. Let g be (-1 - -4)\/(-1 + 2)*a. Calculate the common denominator of 29\/23 and (-9)\/g*86\/3.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-7 + (20 - (1 - -4)))) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -957087.8 - 46.\nAnswer: -957133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 + 17*g + 8. Let q(m) = 24*m**2 - 34*m - 16. Let f(j) = -11*d(j) - 6*q(j). Let u be f(17). Solve 3*b = -12, -u*b + 4*b - 28 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -0.5, 14, 0, 0.0185, -1?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3885*z**2 + 2*z + 16. Let l(m) = 23308*m**2 - 12*m - 92. Calculate -4*l(c) - 23*p(c).\nAnswer: -3877*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 31. Does 8 divide 1207\/a + (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*z - 859. Suppose 2*k + 4*k - z = -2*v, 697 = 3*v - 5*k. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:32 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 33 = -21. Let m be (2 - 33)*-3 + 0. Suppose -g = s*g + 20, -3*k + 3*g = -m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/5 - 617*a**3\/5 + 1857*a**2\/5 - 1859*a\/5 + 124 = 0?\nAnswer: -620, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + m - 5845 = -0*o, o = -2*m + 1160. Suppose -493*z + 484*z = -o. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 991442.3 decades?\nAnswer: 99144.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*n**3*t**2 + 1222*l*n**3*t - 17*n**3*t + 8*n**2*t**2 wrt l?\nAnswer: -2*n**3*t**2 + 1222*n**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -11094*v**5 + 141004955*v**4 - 448045293752*v**3 + 8679843279*v**2 + 10015937560*v - 646176400 = 0.\nAnswer: -1\/6, 4\/43, 6355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/6 - 17*i**2\/2 - 6*i. Let p be u(-15). Does 4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*t + 6, m + 0*t + t - 3 = 0. Let x be (-1)\/1 + m + 24. Let p be 2 + 1 + (-70)\/x. Which is the biggest value? (a) 0.1 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:58 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 2 - 2)*(-654*t**2 + 441*t**2 + 884*t**2) + 2*t**2 + t**5 - 2*t**2 + (-2*t**3 + 5*t**3 - t**3)*(-t**2 + 5*t**2 - 3*t**2).\nAnswer: 674*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.634 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - w = 0, w + 12 = 4*b - 3*w. Let t(y) = 1398*y**2 + 10*y + 10. What is the units digit of t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3775, 15094, 33953, 60352, 94291, 135770?\nAnswer: 184789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/7, -1 in ascending order.\nAnswer: -1, -3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/7 - 6*y**2 - 40*y\/7 = 0. Calculate y.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-91658\nAnswer: 164984.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 212*w + 2824. Calculate p(-53).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43122 is divided by 1796.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83371599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*-2*3\/(-3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*m + 774225 = -2351*m - 4585*m - 1554*m for m.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71388.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 11*n - 9*n + 13*n as o*n + f and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 9*u - 22. Let f be b(11). Suppose -7*q + 49 - 623 = f. Let p = 84 + q. Solve -3*w = -p + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 35 = 4*b - 37, -3*d + 3*b + 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*f + 6 = -5*f, -10 = -3*k + 5*f. Suppose k*i + 25 = 5*i. Suppose i*h = -3 + 73. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41cc - -36?\nAnswer: -4196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472622 (base 9) in base 5?\nAnswer: 321100334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*j**4*p + 122*j*p + 10888*p - 2 wrt j.\nAnswer: -556*j**3*p + 122*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24334173 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163982006 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idfhlzhzhff. Give prob of sequence fid.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -334155, -668312, -1002469?\n\"Answer: -334157*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4088 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Let i = 5\/6 + -4\/3. Which is the closest to g? (a) 0.2 (b) -2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) + 1*sqrt(324) + sqrt(324))*-5)\/(2*sqrt(40)\/sqrt(5)).\nAnswer: -135*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 8 - (6 + -1). Let j(v) = -v - 2. Let c be j(w). Solve -3*a - 28 = -7*a + 4*h, c*a + 2*h = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -30. Let c = 2 - n. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 2120100002011?\nAnswer: -2120100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 11 - 6*o**2 - 15 - 2*o**2 - 13*o. Let k be w(-6). Solve -3*n = -n + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 - 5*p - 28. Determine g(-4).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:09 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 - -218.1. Do i and 327 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24367 divided by 6\nAnswer: 24367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 + 0.52. Let w = 1.7 - -2.3. What is the biggest value in r, w, 0, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*q**3 + 0 + 13*q**2 - 6947*q**4 + 0 - q - 5*q**2 + 6946*q**4 to the form a*q**3 + v + h*q + y*q**4 + k*q**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24))\/(11\/((-1584)\/32))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403446.\nAnswer: 2, 3, 19, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (sqrt(847) - (sqrt(847) + 0)) - ((1 + sqrt(847))*-2 + sqrt(847)) - (-1 + sqrt(847)*2 + 1))*2)**2.\nAnswer: -264*sqrt(7) + 3424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 4003*h + 2*h**3 - 1987*h - 2016*h.\nAnswer: 2*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 + -3344?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*x**5 - 1 + (2*x**2 - x**2 + 0*x**2)*(-x**3 + x - x) + 1374*x**4 + 72*x**5 + 1386*x**4 - 2777*x**4.\nAnswer: 69*x**5 - 17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*u. Suppose 0 = -3*v - 1 - u, 2*f + 5*v = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 18 = -18*f. Which is smaller: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*r + 3 = -5*i, -r = 1. Suppose 3*k - 3 = -w + 4, i = 2*w - k - 14. Suppose -5*q + 23 = -w. Solve 6 + q = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6758796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 - 2*u + 2. Determine m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 327281086 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**6\/420 - x**5\/210 - x**2 - 2. Let f(r) be the second derivative of m(r). Factor f(u).\nAnswer: 2*u**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208615954?\nAnswer: 2, 41, 547, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1080)*1)\/(sqrt(960)\/sqrt(6) + -5*(sqrt(10) + sqrt(250))).\nAnswer: -6*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 - (-6 + -5) - (8\/(-4) + -1). Let y = -6 + 4. Let q = y - -2.1. Which is the nearest to f? (a) 0.2 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5100 + -5100.3. What is the biggest value in r, 107, 0.3, -1?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkci when four letters picked without replacement from ikkkklwcqkkkqikkwkq.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (350\/63)\/(295\/(-3717))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958 - 665. Let b = w - 173. What is the highest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4410 and 32184?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*v**5 - 12321*v**3 + 7*v**2 - 20755*v wrt v.\nAnswer: 960*v**2 - 73926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, 8 in decreasing order.\nAnswer: 8, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(25\/(-22) + (-76)\/209).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -15 + 3. Suppose v*f = -0*f + 288. Suppose 9*x - f = 5*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3031 divided by -1\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16682714 and 87.\nAnswer: 50048142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*d = -946, -3*o + d = 3*d - 568. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2238645*g**2 + 9019*g + 234 wrt g?\nAnswer: 4477290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294442*n - 2*n**2 + 9*n**2 + 294126*n)*(n - 3 + 3).\nAnswer: 7*n**3 - 316*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00166416 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 41\/18496?\nAnswer: 18496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8321 minus -2387?\nAnswer: -5934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let r(m) = 60*m + 520. Let i(g) = 90*g + 800. Let c(u) = 13*i(u) - 20*r(u). Give c(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(-218 + 208). Let k(d) be the third derivative of 1\/140*d**5 + 0*d**4 + a*d + 1\/840*d**6 + 0*d**3 + 0 + 3*d**2. Solve k(o) = 0 for o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**5\/5 + 5*c**4\/2 - 7*c**3\/3 - 10*c**2 - 19. What is the third derivative of x(a) wrt a?\nAnswer: 24*a + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15206220*a**3 - 15393243*a?\nAnswer: -91237320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8475720, -16951437, -25427154, -33902871, -42378588, -50854305?\nAnswer: -59330022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 11*g - 8. Let r(c) = -15*c**2 + 23*c - 16. Let m(u) = -13*k(u) + 6*r(u). Calculate the remainder when m(9) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35295550.\nAnswer: 2, 5, 113, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110061089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + 0)*-1 + -4 + (sqrt(5) - sqrt(180)\/sqrt(4)).\nAnswer: -4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2351 = 5*t - 3294, 0 = -d - 3*t + 1406. Suppose 0 = -86*k + 81*k + d. What are the prime factors of k?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2424354 and 2.\nAnswer: 2424354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 1.5232\nAnswer: 10.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (-119)\/28)\/(1\/(-56)). Let p be (-9)\/((-1)\/(2\/2)). What is the first derivative of -p + 45*u**3 - 92*u**3 + a*u**3 wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d + 14. Let f(b) = 7*b + 5. Let q(r) = 17*f(r) - 6*k(r). Let m = 0 - 1. Let i(o) = 4*o - 1. Give m*i(y) - 3*q(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -750, 4 in descending order.\nAnswer: 10, 4, 1, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1625, -3838, -6051?\n\"Answer: -2213*r + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*u + 0*u = -19, 11 = -5*m - 4*u. Let a be m\/(-1) - (-8154)\/8142. Let r = a - -39345\/5428. Find the common denominator of r and -4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/57*(-3)\/(-2)*1\/(-3)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6.08. Let a = -0.16 - z. Let r = 3.92 - a. What is the third biggest value in 5, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 10*c + 3*c + 0*c**3 - 11*c - 2*c**2 - 11 to the form w*c + t + m*c**3 + x*c**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -38000602 minus -40407?\nAnswer: -37960195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 36600192922*y**2 - 2*y**3 - 36600192922*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*2*3. Solve 6 = -2*k - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 g when three letters picked without replacement from {y: 2, t: 2, o: 1, g: 1, u: 1, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -98*w - 1. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/87*2\/(-4) and (190\/27)\/((-112)\/(-84)).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/72253 - -202110\/352811399. Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.258334 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g**2 + 3*g)*(-6 + 6 - 14*g**2 + (-3*g + 0*g + 2*g)*(3*g + g - 2*g) + 22*g**2 - 10*g**2 - 9*g**2).\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:51 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4973 (base 11) to base 3.\nAnswer: 22220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8388\/702 + -12 - 7973\/(-1092)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u**3 + 1\/6*u**6 - 17*u**2 + 118 + u + 0*u**5 + 59\/4*u**4. What is the second derivative of g(h) wrt h?\nAnswer: 20*h**3 + 354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/120 - 9*k**5\/10 + k**3\/3 + 22*k**2. Differentiate s(d) wrt d.\nAnswer: 3*d**2 - 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-752)\/3)\/2)\/(44\/132). Sort 5, -1, 1, m in ascending order.\nAnswer: m, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/((-140)\/(-1))*80.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 - 558 = 9*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a))**(-18\/7)\/((a**(1\/2)*a)\/((a*a**4)\/a))*a**(1\/9)*a\/a**(-4)*(a*a**8*a)\/(a\/a**(-7\/4)*a) assuming a is positive.\nAnswer: a**(4141\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s - 112862 + 503945 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 (base 10) in base 3?\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 23. Let d(t) = -t**2 + 8*t - 9. Let n be d(c). Is n\/4*(0 - 154) 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 6:39 PM and 9:50 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9521*((3 - 2) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-9922.8\nAnswer: 19845.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 1)*(-38)\/5. Suppose 4*u + 2 = c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733 = -4*s - 3*v - 182, -1 = v. Suppose u = -2*j - 127, 0 = -5*u - 4*j - 312 - 299. Let m = u - s. List the prime factors of m.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*l**3*m**3 + 128*l**3*m - 16277*l**2*m**3 - l**2*m**2 wrt l.\nAnswer: 120*m**3 + 768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22965919489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (228 - (1 + 1)) + -3 + -2. Differentiate -n + 42 - 19*u**2 - 25 - 65*u**2 wrt u.\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6 and -19\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f - d - 41, 2*f - 26*d - 9 = -29*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7109 - 8426. Are z and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-8)\/26 - 2800\/(-4368)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**45*x**23\/x**(1\/4) assuming x is positive.\nAnswer: x**(1171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014535115 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 215000 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 17*i + 673. Give k(37).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12875622 is divided by 332.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 2819 + 2884 = -22*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.292, 17, -3.4 in descending order.\nAnswer: 17, 1.292, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 2*l**2 - 13*l**2 + 12*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -8*n**2 + 6*n + 48 - 7*n**2 - 48 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*s + s = 41, 2*s - 16 = -m. Let x(b) = -m*b + 5 + 21*b + 54*b. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 8*i**7\/21 - 7*i**5\/5 - i**4\/3 + 2*i**3 + 2*i**2 + 9*i. What is x in m(x) = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9764 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 46*i**2. Let c(m) = 2*m. Determine w(c(b)).\nAnswer: 184*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 1\/6, -4\/13, -2\/9, 1\/57050?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 + 255 = 5*n. Suppose 2*u = -u + n. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/7 (c) -0.3 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 less than 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - 2 - (2\/(-11) - 627\/(-121)). Let y(r) be the first derivative of -1\/4*r**t + 1\/15*r**5 + 22 - 2\/3*r + 1\/9*r**3 + 1\/2*r**2. Factor y(q).\nAnswer: (q - 2)*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36015*m + 8*m**3 - 52 - 36015*m + (m**3 - 3*m + 3*m)*(-2 + 2 + 2).\nAnswer: 10*m**3 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.88757765 rounded to 3 dps?\nAnswer: -1.888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1779269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59829.53mg?\nAnswer: 0.05982953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 78, -441, -0.5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41510 = 5*u - 4*x, 41525 = -0*u + 5*u - x. Suppose 0 = -m - a + u, -16617 = -2*m - 7*a + 6*a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.891398km to centimeters.\nAnswer: 289139.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4834*c**2*j - 26*j + 32 wrt c?\nAnswer: 9668*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 957.64829 and 3.\nAnswer: 2872.94487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06124 from 205.299.\nAnswer: 205.36024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2121757533 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 2 y when four letters picked without replacement from {n: 1, v: 5, s: 3, y: 4}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -233523 divided by 9\nAnswer: -25947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 64 = -3*b, b = 5*b + 2*n + 62. Let v(w) = -3*w - 35. Let d be v(b). Let l(p) = -26*p**2 + 27*p**2 - d*p + 5 - 7*p. What is l(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.347 - 5.583. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, c: 1, v: 2, s: 1, q: 1}. What is prob of picking 1 q and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386162344.\nAnswer: 2, 17, 2839429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 3, 2, -4.6, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 142*t**2 - 2*t - 9. Let q(j) = -69*j**2 + j + 4. What is -3*d(o) - 7*q(o)?\nAnswer: 57*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*l + 3 = 25 + 32, 2*l = c + 34 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 3*o - 354. What are the prime factors of o?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3920 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -30, 2.79, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273343672.\nAnswer: 2, 7, 97, 50321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpm when three letters picked without replacement from {r: 1, l: 4, p: 4, j: 1, z: 5, m: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 = -5*l - 18, c + 17 = -3*l. Suppose 15*o + 5 = 20*o. Let w be (-2184)\/637 - (4\/(-1) + o). Put c, 8\/7, w in descending order.\nAnswer: 8\/7, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w - 5*w - 2*w)*(5*w - 2*w + 9*w)*(-2*w**2 + 2*w**2 + w**2) to the form v*w**3 + f*w**2 + z + h*w + y*w**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*r**4 + 3*r**3 - 19*r**2 - 8*r + 89476 wrt r.\nAnswer: -648*r**3 + 9*r**2 - 38*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(300))**2 - (sqrt(12) + (sqrt(72)*-4 + sqrt(72))\/sqrt(6)))*-4.\nAnswer: 96*sqrt(3) + 7080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 771 or 949?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(7\/2)*o*o\/((o\/(o\/o**(-2\/7)))\/o))\/((o**(-3)\/o)\/(o\/o**(-6))))\/((o**6*o**(-2\/7))\/(o\/o**0*o**(4\/7))) assuming o is positive.\nAnswer: o**(205\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41090 (b) 8\/7 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -95542*t**5 - 8*t**4 + 191084*t**3 + 16*t**2 - 95542*t - 8 = 0. Calculate t.\nAnswer: -1, -4\/47771, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10990429391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let i(j) be the first derivative of 5\/2*j**2 - 1\/3*j**3 - d - 6*j. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 3283*c + 3283*c - 5. Let i(j) = -11*j**2 + 10. Determine -4*i(v) - 7*x(v).\nAnswer: 2*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*476\/(-34) + (-2 - 1124\/(-70)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**5 - 2153*q**3*w - 22*q**3 + 89183*q**2*w + 2*q**2 - 6*q*w wrt q.\nAnswer: -360*q**2 - 12918*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -12*h**5 + 14*h**4 + 82*h**3 - 26*h**2 - 70*h + 12 = 0.\nAnswer: -2, -1, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -499, -500, -501, -502, -503?\n\"Answer: -w - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3874, 3867, 3842, 3787, 3690?\n\"Answer: -2*v**3 + 3*v**2 - 2*v + 3875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2581704, 2581667, 2581630, 2581593?\nAnswer: 2581556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 7*d. List the prime factors of (d - -3)\/((-8)\/(-80)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3 + 15. Suppose 2*l - 4*a - a = -17, -h = -4*l + 2*a. Let d = 1 + l. Let f(u) = u**2 - 6*u. Give f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -238 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - s. Let w be u(1). Suppose x + w - 2 = 0. Solve 0 = -4*k - x - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7 + -8.2. Let w = r + -0.3. What is the third biggest value in -1, w, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/30*(-20)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5542358 divided by 24?\nAnswer: -2771179\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.187573682 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6162?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735 and 190890.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2*m**2 - 7)*(-1 - 1 + 4)*(-m**2 + 3*m**2 - m**2) + (5*m**3 - 3*m**3 + 4*m**3)*(m + 0*m + 0*m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1 - -147162299.81.\nAnswer: 147162296.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 140*a**2 + 4067*a\/2 - 7203.\nAnswer: -(a - 7)**2*(a + 294)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 2\/5, 14 in increasing order.\nAnswer: 0.1, 2\/5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 3*b, 4*b + 42 = 3*d + b. Let l = 29 - 38. Let p = l - -13. Calculate the remainder when d is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + 11)\/52*21368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 4 = 2*m, 4*m = -4*y + 28. Suppose -m*d + 348 = 2*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 3*s - 261, -4*n = s - 29492 + 29711 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 19*p**2 - 41.\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1202874111 divided by 3\nAnswer: 400958037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -3*p**4 + 3*p**3 - 9*p**2\/2 + 9*p - 3. Let a(q) = q**3 - q**2 + q - 1. Determine -9*a(o) - l(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -7541773221888*n**4 - 47566080*n**3 + 7541773221813*n**2 + 47566080*n + 75 = 0.\nAnswer: -1, -5\/1585536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3\/461695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*((-4)\/(-6))\/1. Let f be ((-6)\/(-11))\/(p\/(-4)). Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1477 - 1477. Let h(d) = d**3 + 3*d + 5. Determine h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 4*s - 5. Let n be g(-5). Suppose n*i + 2*i = c + 10, -2*i = 3*c + 14. Let f be ((-24)\/9)\/(4\/c). Solve 0 = 2*v - 6*v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + 6\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 23944291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5568 and 110509024.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -33. Suppose -y - 4 = -p*a - 0*a, 2*a = -5*y + 4. Let r be 0\/(-2)*(-1)\/a. Sort 1, r, -2 in increasing order.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {n: 2, a: 1, m: 1, e: 1, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6807512199 to the nearest integer?\nAnswer: 82508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 2*i**2 - 3*i**2 - 2*i**2 + 4*i**2 - 4*i**2 - 5*i + 2*i**2 + 5*i + (-2*i + 2*i + 2*i)*(3*i - 5*i + 0*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j = -974 + 50. Let n(z) be the second derivative of j*z + 0 - 1\/66*z**4 - 3\/11*z**2 - 4\/33*z**3. Determine k so that n(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)**(2\/19))**37)**9 assuming n is positive.\nAnswer: n**(-1332\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170880, -170878, -170876, -170874?\nAnswer: -170872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2979, 5596, 7867, 9798, 11395?\nAnswer: 12664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-10))\/((-6)\/(-40)). Let z = 8 + a. Factor 2\/3*p - 1\/3*p**2 - p**3 + z.\nAnswer: -p*(p + 1)*(3*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1911675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 6*m**3 + 0*m**3 - 16*m**3.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 234*p + 13365. Calculate f(-58).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 66\/(-8) - 11\/(-44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*-1) + -1 + (-5*(-3 + sqrt(18)))**2 + -3.\nAnswer: -451*sqrt(2) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 236294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/30014 and -71\/2.\nAnswer: 30014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2. Let v(w) be the third derivative of 7*w**5\/6 + 652*w**2 + 4. What is v(o(n))?\nAnswer: 7000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*c + 24, 18*c = -13*c + 35*c - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1*(2 - 2). Let f = x + 16. Let z = -7 + f. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8241 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -4, -11 in decreasing order.\nAnswer: -4, -11, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/5 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 2 - (-44 + 45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**3 - 5*m**3 - 52*m**3)*(-2*m - m - 1 + 2*m) to the form h*m**4 + w*m**2 + l*m + k*m**3 + y and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16 - 8*q + 40*q**3 + 37*q**3 - 78*q**3 - 11*q**2 - q. Let g be i(-10). Calculate the highest common factor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93472?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (2 - (1 - -1)). Let c = -10 + 17. Let g = c + f. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6243 + -0.0243. What is n rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/3 + 10*h\/3 - 8\/3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11455 + -11454. Let m be (7\/4 - 1)*8. Let d(o) = 2*o - 7. Let h be d(m). Which is the smallest value? (a) -4 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994 - 1127 - ((-12)\/4 + -14)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -3 + 2 + -2. Let h be (0 + -1)\/(t\/21). Suppose n = -4 + h. 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 tens digit of 57707491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87\/4 in -0.2, -9\/5, 1\/7, -2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 16. Let d(a) = -3013*a + 636. Let n(q) = d(q) - 4*s(q). Differentiate n(z) with respect to z.\nAnswer: -3009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -6622643\nAnswer: 3\/6622643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z + 2. Let n be m(-1). Which is the third biggest value? (a) -1 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06244 - 9.76244. Which is bigger: l or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9\/7, -0.6, -41, -0.02, -23?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i - 7. Let p be l(8). Let n be -2*(-3)\/p*114. Suppose -3*k - 10 = -n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3335737.\nAnswer: -2, -1, 3335737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**3 - 25*b**3 - 26 + 165.\nAnswer: -b**3 + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71705 + -2?\nAnswer: -71707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-2)\/4). Suppose -5*a = -w*a - 6. Suppose 2*d = -2*q - 3*d + 9, -2*q - d + 13 = 0. Calculate the least common multiple of a and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640084 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*r + 64*r + 23*r)*((-5 + r + 5)*(-2 + 0 + 3) + (2*r - 2*r - r)*(4 + 2 - 7)).\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 755*x**4 + 7870*x**3 + 28710*x**2 + 43335*x + 21735 = 0. Calculate x.\nAnswer: -3, -1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 15. Suppose -5*t + 2 + 13 = 0. Let p = -16 + t. Let q be o(p). Solve -6 = -2*r - 4*v, 3*v + 9 = q*r + 4*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-373)\/2238*((-42)\/(-7))\/(24\/45)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 10*c + 133. Let t be h(8). Let l(a) = -a**2 - 7*a - 11. Determine l(t).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -57.6. Which is the second smallest value? (a) -4 (b) t (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.69 + 0.31. Let v = -845.78 - -832. Let j = v + i. Which is the biggest value? (a) -2\/3 (b) j (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -565477?\nAnswer: 565474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*f)*(-6 + 28 + 1).\nAnswer: -92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6885)\/972*(-177)\/2006.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235\/7 + -33. Which is the nearest to 1? (a) 3 (b) -0.03 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 0 (c) -5 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(7*u**2 + 6*u**4 - 2*u**2 - 5*u**4) in the form d*u**4 + b*u**3 + c*u + r + m*u**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 + 151. Solve x - 18 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9893717 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 19*h**2 + 17*h - 61. Let t be z(-20). Put 7600, t, 2 in descending order.\nAnswer: 7600, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 3:28 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwhhnhhwnhwln. What is prob of picking 1 h and 1 n?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -36*w + 63. Let q be i(5). Let x = q + 147. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/24 - 2*p**2. Let i(h) = 90*h**2 - 47*h**2 - 21*h**2. What is q(i(w))?\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 4. Let h be 18\/l*6\/3. Suppose 3 = -0*t + 2*t - d, 4*t - h = 3*d. Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16995880?\nAnswer: 2, 5, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8051 and -0.1735.\nAnswer: 1396.8485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49995 by 32.\nAnswer: 49995\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -230\/21 - -32\/3. Which is the nearest to g? (a) -5 (b) 0 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413106 (base 7) in base 13?\nAnswer: a9394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 - 7*i + 17*i - i**2 + 3 - 8*i**3 - 5*i + 3*i**2 - 4*i as y*i**2 + g + z*i**4 + b*i + k*i**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -1 - (17 + -13). Suppose -y*x + 34 - 4 = 0. What is the remainder when 58 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffof. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 4, e: 3, g: 3, p: 1, m: 3, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -231096, -231098, -231100, -231102?\n\"Answer: -2*h - 231094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*d + 20 - 6, 0 = -2*d - 5*n - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2520)\/(-80) - 30) + 58\/4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 + 150477*r**4\/2 + 1254304647*r**3 + 6888399921024*r**2 - 1025794989146112*r - 2079133544742912 = 0.\nAnswer: -16768, -2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 550?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smq when three letters picked without replacement from srqmomso?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -0.3 (b) 10 (c) -26 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 134\/(-22) - 8\/(-88). Is 1427 + -2 + -2*(-6)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319771259.\nAnswer: 41, 7799299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-12) + 26\/3. What is the lowest common multiple of 2\/k - (-62)\/8 and (4 - -3)\/(2\/4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 4*u - 3. Determine b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76217 + 76232 = 5*x + 2*c, 4*x - 11*c + 51 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**2 + 1032*y + 88752 = 0.\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*q - 3769, 2*x - 5*q = 1098 + 421. Suppose -10*z**5 - 641*z**2 - 24 - 13*z**5 - 87*z**4 - 4*z**5 + 117*z**3 + x*z**2 - 90*z = 0. What is z?\nAnswer: -4, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 321. Let y = 480 + m. Suppose 0*w + y = 4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4036\/991 at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b + 2*b + b + 12*b + 13*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 73. Calculate the remainder when f is divided by 207\/7 + 76\/(-133).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 23*v - 38 to the form s*v + b and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660687?\nAnswer: 3, 19, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -191? (a) 0.4 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 2*k - 4*k)*(24 + 15 - 10)*(-k**2 - 6*k + 6*k + (k + 2*k - 5*k)*(3*k + 2*k - 4*k) + 4 - 4 + k**2) to p*k + o*k**2 + b + i*k**3 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 + 142 + 80)*((0*l + 5*l - 4*l)*(2 + 1 - 4) + 3*l + 0*l + 0*l).\nAnswer: 838*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 779, 1570, 3115, 5666, 9475?\nAnswer: 14794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 35.65455 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -53, -54, -57, -62, -69?\n\"Answer: -o**2 + 4*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178 (base 14) in base 11?\nAnswer: -6459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 1\/5 (c) 3 (d) 28\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 2:39 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -187\/1835 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 38*c - 123 + 123 - 24*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5\/15 + 14*q**4\/5 - 26*q**3\/3 - 62*q**2 - 1312*q\/15 - 184\/5 = 0.\nAnswer: -23, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1284 or -1312?\nAnswer: -1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 602559 minus 848.7?\nAnswer: 601710.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 18 + 5 = 0. Let g(l) = -44*l**3 + 7*l**2 + 5*l - 1. Let v be g(p). Calculate the greatest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let g = 0 - -16. What is the smallest common multiple of c and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2581552 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36\/11 (b) 3\/8 (c) 44.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057649 + -0.06475. Round c to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*k = 7*k + 1, 3*j - 15 = 3*k. Suppose -j*b = -2046 + 534. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 9*g - 27*g)*(-2 + 4 - 2 - 23*g**2).\nAnswer: 184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 20*l = 0. Let k(w) = -w - 25. What is k(l)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1034 - -1039. What is the smallest value in 0.1, -0.16, 1\/4, p?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2. Let j(a) = -119*a + 35. Let n(g) = 7*g - 2. Let c(p) = -2*j(p) - 35*n(p). Determine c(q(f)).\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -271, -270, -269?\n\"Answer: v - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -521 - -522. What is the nearest to o in 1\/23, 3\/5, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5040 and 624960.\nAnswer: 624960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -56. Calculate the lowest common multiple of a and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Let r(s) = -28250*s - 2. Calculate r(q(u)).\nAnswer: 84750*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21 + 88\/11 + 13. Which is the closest to -0.2? (a) -146 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 - (-56)\/6. Let a = 163\/21 - n. Let t = 7 + -11. What is the third smallest value in a, t, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 1037?\nAnswer: -1036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*m = 732 - 1070 - 3623 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/3 + 409*o**4\/3 - 29585*o**3\/3 - 282529*o**2\/3 + 499494*o - 395592 = 0?\nAnswer: -12, 1, 3, 106, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + 16. Let f be (-3 + 0)*z\/(-6). Let r be 1 + 13\/(-4 + 17)*2\/(-2). Solve 2*h + 0*h + f = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40480)\/506*(-30)\/(-48)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -18*d - 17*d + 10. Solve 6*i = -d*n + 8*i + 10, -5*n = -4*i - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 87960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -131*((-1144)\/44)\/(416\/(-16))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + j - 134 = 0, 3*j + 3 = 0. Let k = -25 - a. Let z be (-4)\/(-10) + 92\/k. Solve 14 = -4*p + 2*g, 14 + 5 = -z*p + 4*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13975651 to the power of 1\/2, to the nearest integer?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 11*x. Suppose 44 = -16*l + 20*l. Let h be g(l). Differentiate 7*d**2 - 5*d**2 - 3 + h*d**2 - 3*d**2 wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.264374 minutes in microseconds?\nAnswer: 315862440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 8*k**2 - 136*k - 504. Give p(-4).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.3 + -115.3. Let p = v + 20. Let q = -73.99884 - p. Round q to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2 - 2)*(64*j - 34*j - 27*j + 15).\nAnswer: -15*j**2 - 75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let j = -2327 + 2328. Let n(m) = 0*m - 5*m - 1 - 2. Determine j*n(u) - 2*t(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41\/(-2)*-2*(-20)\/(-4). What is the highest common factor of 82 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 1 - 164*k**2 - 18*k**2.\nAnswer: -174*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 3*l**3 + 807*l**2 + 0*l - 806*l**2 to the form m*l + u + b*l**3 + r*l**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 1059300?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2717.838 - -2839.9. What is i rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 13 + 1. Suppose t*g + 16 = 4*k, -9 = -4*k - 4*g + g. Let w be (4\/(-2))\/(18\/(-2)). Which is the biggest value? (a) k (b) w (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -20. Suppose b*l - 4*i + 152 = -2*i, -l - i - 35 = 0. Let z = l + 74. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(13\/(-702)*6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) 2\/13 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w)**0*w**(1\/2)*w*w**(-1))\/((w*w\/(w**(-1)*w))**(-25)\/(w**(2\/9)\/(w**(-5)\/w))) assuming w is positive.\nAnswer: w**(1021\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220000122020201 - -10?\nAnswer: -10220000122020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806 and 1512.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.5? (a) 0.4 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35955 divided by 7191.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5539082 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561960739 to the nearest integer?\nAnswer: 23706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428 and 4858014?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055059215?\nAnswer: 3, 5, 7, 739, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -3*i + 9, 2*n - 2*i + 2 = 0. Let l(o) = 3 - 7 - 2*o**2 + o + 3*o**n. What is l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let d be r*1\/4*0. Is 4\/7 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46606 + 46611. Solve -4*z + 2 = 125*s - 123*s, j*z + 3*s = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1337 + 14.\nAnswer: 15.1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/10 - (3 - 0). Let o = 4 + -4.2. Sort v, o, 0 in descending order.\nAnswer: v, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -33 (c) -15 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = -3*y. Suppose -n + 3 = 7, -y = -3*q + n. What is the units digit of (0 + q)*(4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8883256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -3. What are the prime factors of (j\/2 - 1) + -2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*j**3 + j - j - 302*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-38) - (-17 + 1808\/152).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6076 divided by 4.\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(36)\/sqrt(3))\/(sqrt(48)\/(sqrt(12) - sqrt(432))).\nAnswer: -10*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -23, -15, 21, 97?\n\"Answer: 2*o**3 - 4*o**2 - 10*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/7? (a) 3 (b) -2 (c) -26 (d) 0.03 (e) 4 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 15*v + 19910 = 26*v. Is v greater than or equal to 366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.648 - -0.048. Let z = 11 + j. Let n = 0.386 - z. Round n to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let g(a) = 22*a + 12. Give -2*g(j) + 22*h(j).\nAnswer: -22*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) + (1029\/42 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1057058 - 1\nAnswer: -1057059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 4. Suppose -n + 2*y = -2*y + u, 2*n + 2*y = 22. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1589811 - 51404509\/492841410. Find the common denominator of 97\/60 and d.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7901 + 7873. Suppose -3*x - 6 = 0, -3*x = -4*s + 2*x + r. Suppose -a + 1583 = -q, 769 - s = -2*a + 4*q. What is a rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -14. What is the least common multiple of t and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431 divided by -11.\nAnswer: -431\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*(-50)\/(-15). Solve 0 = -9*j + b*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 6164.\nAnswer: 117116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.5*121097.\nAnswer: -2361391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3264350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/14 + 6\/21. Let a(q) = q**2 - 5*q + 8. Let w be a(4). Sort r, -4, w in descending order.\nAnswer: w, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2249)\/(-3) + (-133)\/(-21) + -5. Suppose 0 = 89*d - 88*d - m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n + n**2 - 3*n**2 - 10*n + n**2 + 2*n**3 in the form i + m*n**3 + x*n + w*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 4*h + 0*h)*(-109*h**3 + 93*h**3 + 67*h**3)*(1 - 2 + 3) to the form u*h + r + t*h**3 + w*h**4 + x*h**2 and give w.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + -17 + 24 + 2 + 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + -1 - (-63 - -8 - -16).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(252) - (sqrt(252) + 2)) - sqrt(252) - ((sqrt(252) - 1*sqrt(252)) + 1))*5.\nAnswer: -120*sqrt(7) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u**2 + 339*u + 335. Calculate f(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1826 (b) 2 (c) -4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5651.78 times -0.086\nAnswer: 486.05308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*m - 5 = -43, -x - 2*m = 3. Let s(y) = 3*y**2 - 7*y + 6. Let d be s(x). Let r = d + -71. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - (-2 + -1 + 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 22 = 3*k - 12, 9 = -2*k - 3*h. Calculate the greatest common divisor of k and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, z: 1}. What is prob of sequence wm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3592*d**2*l*p**4 - 2*d**2*l*p**2 - d**2*l - 32*d*l*p + 2*d*l - 9*l + 2 wrt p.\nAnswer: -43104*d**2*l*p**2 - 4*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let g(l) = -2163149*l**2. Calculate g(f(a)).\nAnswer: -2163149*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1908, 7285, 16248, 28797?\n\"Answer: 1793*a**2 - 2*a + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4991530851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11f (base 16) in base 10?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + 427\/(-49). Let b = l - -16. Let r = b + -4. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:06 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 23. Let r(s) = 3*s + 35. Let t(a) = 8*l(a) - 5*r(a). Let c be t(-6). What is the highest common divisor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 + h - h)*(6*h - h - h) + 3 - 3 - h**4 as o + p*h + l*h**3 + f*h**2 + k*h**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 31*m - 2040. Give f(51).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -55039000 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let v = 1 + 3. Let c(z) be the third derivative of 0*z + 0*z**3 - 1\/60*z**5 - z**2 + 0 + 0*z**v. What is c(l(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c**(-2)\/c)))\/c)\/c**1*(c**(-1\/4))**(1\/43))\/(((c**(3\/4)\/c)\/c)**(31\/3))**4 assuming c is positive.\nAnswer: c**(24593\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67096 plus -2368792?\nAnswer: -2301696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11)\/g**(-2\/7)*(g*g**0*g*g)**(-3\/13))**23 assuming g is positive.\nAnswer: g**(-13547\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/5 of a gram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.04938ml in litres?\nAnswer: 0.05704938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -25, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -570, -572?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7035679 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 14, -1, 2, 65, 1.\nAnswer: -5, -3, -1, 1, 2, 14, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 + 194. Suppose -2*l + 6*t + 4 = k*t, 2*l - 3*t = -1. Solve -d - l = -5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 - 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -5, 13, 33, 55, 79, 105?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 2, l: 2, v: 1, a: 1}. Give prob of picking 2 l and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6. Let k(g) = 5. Let r(l) = 5*k(l) - 4*s(l). Let v(y) = 3*y - 18. Let z(a) = -18*r(a) - v(a). Let j(m) = -m. Determine z(j(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131330 = 698*h - 2616*h - 937*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -j - 5 + 20, 5*j - 19 = q. Suppose j*n - 2*h + 317 = -382, -h = -3*n - 696. Does 29 divide (n\/(-12))\/(4\/(-16)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - 6*s - 8. Let q(t) = 3*t - 12. Let a be q(2). Determine v(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02068*-0.049.\nAnswer: -0.00101332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6320 and 1300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Suppose 0 = 2*z - 5*o - 8 - 1, -2*z - 1 = 5*o. Solve 3*s + a*i - 4 = s, -14 = -4*s + z*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -44*u + 1. Let a(r) be the third derivative of r**4\/4 - r**2 - 17. What is a(s(j))?\nAnswer: -264*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(36\/3))\/(20\/660).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 19*s**2 - 9*s - 4. What is o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*a**2 - 6*a + 2 + a - 16*a**2.\nAnswer: (a - 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.022783 to 1 decimal place.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-5)\/5)*2. What is the highest common divisor of 7 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*d = -94 + 157, -4*z + 3*d - 44 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*(((z\/(z**(-3)*z)*z)\/z)\/z)\/z)\/(z**(2\/5))**(1\/2))\/((z**(2\/7)\/z)\/(z**(-1\/11)*z))**(15\/8) assuming z is positive.\nAnswer: z**(24159\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/6 + 12*c**5\/5 + 7*c**4\/2 - 4*c**3 - 13*c**2\/2 + 45. Factor h(t).\nAnswer: -t*(t - 13)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3 - 2*w**2 + 2*w + 0*w**2 + 3*w**2. Let i(f) = 3*f - 31. Let l be i(9). What is b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 5, -45739983, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygklglllyyycvgg. What is prob of sequence yl?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hchhchhh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60230062.4 rounded to the nearest one hundred thousand?\nAnswer: 60200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3315 (b) -11 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08868 to three dps.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.95 - -125. Let n = -0.05 + y. Which is the nearest to 2\/3? (a) -1 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/(-7))\/((-19)\/(-1729))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w**2 + 5*w**2 - 6*w**2 + 3*w**4 - w**4 - w**3 to q*w**2 + r + h*w + n*w**4 + o*w**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(12\/11))**(-32))**(1\/20) assuming k is positive.\nAnswer: k**(-96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0191251 and 0.3.\nAnswer: -0.00573753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 88004*u**3 - 352060*u**2 + 440092*u - 176040 = 0. What is u?\nAnswer: -22005, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*o + 2 = -0, 0 = -x + 2*o + 4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -4\/7, -0.4, 0.4, -4\/319, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.996*387.6.\nAnswer: 386.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 494*d. Let r(p) = 494*p + 1. Let l(o) = -2*r(o) + 3*u(o). Let f be l(-2). Round f to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30327.2804 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2268*7*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -251 * 13452\nAnswer: -3376452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*m + p - 25, 0 = m - 5*p - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 3. Let y(l) = -l**4 + 8*l**2 - 5. Let t(o) = -10*b(o) + 6*y(o). Find the third derivative of t(a) wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17976 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/251 less than -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(76) + sqrt(76) + sqrt(76))**2 + (sqrt(76) + 3 + 1)**2 + -5 + 2)*3 + -2.\nAnswer: 48*sqrt(19) + 14857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -94514, 2, -2 in increasing order.\nAnswer: -94514, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 9*f**2\/8 - 69*f\/4 + 35\/8.\nAnswer: (f - 7)*(f + 5)*(4*f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**0\/g)\/g)**(2\/15))**(-14)*(g*g**(-1))**(12\/13)\/(g**(2\/11)*g**(2\/7)) assuming g is positive.\nAnswer: g**(1616\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -15, -28, -59, -114, -199, -320?\n\"Answer: -b**3 + 6*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - -23351448.4?\nAnswer: 23351448.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let p(f) = -f. Let b(n) = -4*n. Let w(h) = -b(h) + 5*p(h). Give w(x(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/256 + -119\/768. Which is the second biggest value? (a) z (b) 0 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.2. Let r = -6.83 + -0.17. Let f = r + 3. What is the nearest to 0 in p, f, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d*n*q**3 + 21*d*n*q**2 + 2*d*n + 9*d*q**3 - 6*n*q**3 + 12*n*q wrt q.\nAnswer: -60*d*n + 54*d - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*b**2 - 6655 + 6655.\nAnswer: 441*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347379 is divided by 2347346.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92407048423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002072124 rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 642600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1995, 4021, 6083, 8181, 10315, 12485, 14691?\nAnswer: 16933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -2*u + 124. Let f(o) = 24*o**2. Let b(m) = 5*m**2. Let a(g) = u*f(g) - 14*b(g). Let i(h) = 84*h. Calculate i(a(l)).\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 56\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 18, m: 1}. Give prob of picking 1 m and 2 d.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 3. Let c be 33\/q*10\/(-2). Suppose p = -c*f + 4*p + 213, -3*f + p = -217. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -210 (b) 2 (c) 3 (d) -2\/5 (e) 100 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-17*r + 17*r - 6*r**2)*(3 - 3 + r**3) + 2*r**5 - 2*r**5 - 3*r**5 - 12*r**5 - 15*r**5 - 3*r**5)*(-1 + 1 - 2).\nAnswer: 78*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7467 + 7473. Sort -111, i, 1\/8 in increasing order.\nAnswer: -111, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(1 + -2) + 1. Let z(s) = 2*s**3 - 4*s**2 + 13*s - 1. Let r be z(v). Calculate the highest common factor of 46 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-12)\/(-54))\/((-1)\/(-6)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 9) to base 3\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40983775 to the power of 1\/2, to the nearest integer?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 4 - 2 + 3. What is the remainder when 18 is divided by v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -1 + 3 - -3. Suppose 2*d + 5*c - n = 0, -5*d - 5 = -0*d + 5*c. Let r = -218 + d. Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1252)\/(-14) + (-18)\/42. Solve k*m = 96*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -687, -699, -711, -717, -711, -687, -639, -561?\n\"Answer: f**3 - 6*f**2 - f - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - 2*h**4 - 2*h**4 - h**4 + 3*h**2 - 3*h**2 + (-2*h + 3 - 3)*(-2*h**3 + 2 - 2) + h**4 - h**4 + 2*h**4 - 2*h - 4*h**4 + 0*h**4 + h**4.\nAnswer: -2*h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 845*u**2 - 16*u - 5. Let a be n(6). Suppose 0 = l + 5*g - 5037, -2*g = 5*l + 5226 - a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*g*m**2 + 12078*b**2 - b*g + 6991*g*m**2 - 2*m with respect to m.\nAnswer: -4*b**2*g*m + 13982*g*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 409131? (a) -0.1 (b) -3 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.89 + 53. Let j = 16.89 + f. Let t = j + -16.985. What is t rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21807*q + 457990. Calculate f(-21).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + (-2 + 1 + sqrt(500))*-6*-1)*-2 + 5)**2.\nAnswer: -7200*sqrt(5) + 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -246. Let n = 67 + -48. Let b = n + -25. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13896, 13897, 13898, 13899, 13900?\nAnswer: 13901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 557509391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 55*q - 787. Let d be c(12). Let o(m) = -53*m**2 + 14*m - 11. Let x(a) = 18*a**2 - 5*a + 4. Calculate d*x(k) + 6*o(k).\nAnswer: -12*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) - (-175)\/(-637)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328129233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3481\/3 - -1160. Put -2, 18, c, 0.1 in ascending order.\nAnswer: -2, c, 0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -711 (base 15) to base 11.\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 8. Let q(t) = -2*t - 7. Calculate 2*l(u) - 3*q(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/3)\/(14\/21))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -9*a + 410. Calculate the highest common divisor of a and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*m**3 + 2*l**2*m - 55*l*m**3 - 252*m**3 with respect to l.\nAnswer: 3*l**2*m**3 + 4*l*m - 55*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1904 = -6*c + 556. List the prime factors of c.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 4*u**2 + 3*u**2 + 4*u**2 - 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + -50 - (-680 + 691)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**3 - 6*l**2 + 6*l + 6. Let x(w) = -w**3 + w + 1. Let z(m) = i(m) - 6*x(m). What is the third derivative of z(t) wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50, 3, 11517\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17316656 - 1?\nAnswer: 17316655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 3*n**2 - 4*n - 14. Calculate b(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24174603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q**2 - 3*q**2 - 13*q**2 - 1 + 32*q**2 + 2*q**2.\nAnswer: -53*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16916853 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) 3\/13 (b) -0.2 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-516)\/(-903) - 18\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(14)\/(sqrt(12)\/(sqrt(864) - sqrt(6))))**2 + sqrt(84)\/(-1*sqrt(12)*-5))*4.\nAnswer: 4*sqrt(7)\/5 + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -2 (c) 2\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = m - 2*m - 245 + 176, 2*m = -8*y - 282 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356890676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:57 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 + 163. Calculate the highest common factor of c and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6282 + -1829. List the prime factors of r.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 4. Is f(-17) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k - 12. Suppose -k = 2*s - s. Does 3 divide 10\/(-1)*s\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34583 + 3)\/(-1*2\/(-2)). Suppose u + 3*o - 9113 = 8184, 2*u + 2*o = y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 - 2*b + b + 0*b. Let d be m(2). Let a = 137 - 134. Sort d, 4, a in descending order.\nAnswer: 4, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-230)\/(-70) + (-2)\/7. What is the second derivative of 3*v**3 + v**3 + v**f + 15*v - 2*v**3 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/4 - 2*j**3 + 3*j**2 + 5*j + 1. Let z be v(5). Suppose 0*h - 5*h + z = 0. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 1\/4, 233.2, 4 in ascending order.\nAnswer: -0.4, -0.2, 1\/4, 4, 233.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.008423056 + 49.008416606. Let c = 49 - m. Round c to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0 + 0*j**2 - j - 1\/3*j**3. Let o(t) = -2*t. What is m(o(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 626, 625, 624, 623, 622?\n\"Answer: -x + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -5*w**4\/12 - 5*w**3 - 45*w**2\/2 + 306*w + 2. Factor t(s).\nAnswer: -5*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 524*u**2 - 2*u - 9. Let a be y(3). Suppose 12750 = 3*j + a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = -12*d, 28 = -2*n - 3*d + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11512? (a) -6 (b) 6 (c) 0.4 (d) 0.3 (e) 4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033697.\nAnswer: 7, 147671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643228005 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 2, f: 1, j: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4349763 to the nearest integer?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227670523 * -0.2.\nAnswer: -45534104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 25 = 3*y + 2*g, -4*y + 20 = -4*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/8)\/(((-21483)\/(-124))\/(-21)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61083 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 4 = -35*s, 4*s - 19 = -y. Suppose 0 = 5*t + 20, -t - 211 = -3*l + 81. What is the remainder when l is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}